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in quantum mechanics, the space-fractional schrödinger equation provides a natural extension of the standard schrödinger equation when the brownian trajectories in feynman path integrals are replaced by levy flights. here an optical realization of the fractional schrödinger equation, based on transverse light dynamics ...
fractional schrödinger equation in optics
the hallmark of quantum physics is planck's constant h , whose finite value entails the quantization that gave the theory its name. the finite value of h gives rise to inevitable zero-point fluctuations even at vanishing temperature. the zero-point fluctuation of mechanical motion becomes smaller with growing mass of a...
motional sideband asymmetry of a nanoparticle optically levitated in free space
out-of-time-ordered correlators (otoc) have been proposed to characterize quantum chaos in generic systems. however, they can also show interesting behavior in integrable models, resembling the otoc in chaotic systems in some aspects. here we study the otoc for different operators in the exactly-solvable one-dimensiona...
out-of-time-ordered correlators in a quantum ising chain
the flow of water in carbon nanochannels has defied understanding thus far1, with accumulating experimental evidence for ultra-low friction, exceptionally high water flow rates and curvature-dependent hydrodynamic slippage2-5. in particular, the mechanism of water-carbon friction remains unknown6, with neither current ...
fluctuation-induced quantum friction in nanoscale water flows
we show that macroscopic thermalization and transport impose constraints on matrix elements entering the eigenstate thermalization hypothesis (eth) ansatz and require them to be correlated. it is often assumed that the eth reduces to random matrix theory (rmt) below the thouless energy scale. we show that this conventi...
bound on eigenstate thermalization from transport
this is a writeup of lectures given at the epfl lausanne in the fall of 2012. the topics covered: physical foundations of conformal symmetry, conformal kinematics, radial quantization and the ope, and a very basic introduction to conformal bootstrap.
epfl lectures on conformal field theory in d>= 3 dimensions
quantum mechanics dictates that a continuous measurement of the position of an object imposes a random quantum back-action (qba) perturbation on its momentum. this randomness translates with time into position uncertainty, thus leading to the well known uncertainty on the measurement of motion. as a consequence of this...
quantum back-action-evading measurement of motion in a negative mass reference frame
symmetry and symmetry breaking are two pillars of modern quantum physics. still, quantifying how much a symmetry is broken is an issue that has received little attention. in extended quantum systems, this problem is intrinsically bound to the subsystem of interest. hence, in this work, we borrow methods from the theory...
entanglement asymmetry as a probe of symmetry breaking
the fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. a basic scale in such a system is the energy range over which this behavior persists. we define the corresponding time scale by the time at which the linearly growing ramp region in the spectral f...
onset of random matrix behavior in scrambling systems
on the basis of a number of swampland conditions, we argue that the hilbert space of baby universe states must be one-dimensional in a consistent theory of quantum gravity. this scenario may be interpreted as a type of "gauss's law for entropy" in quantum gravity, and provides a clean synthesis of the tension between e...
baby universes, holography, and the swampland
we demonstrate optomechanical quantum control of the internal electronic states of a diamond nitrogen-vacancy (nv) center in the resolved-sideband regime by coupling the nv to both optical fields and surface acoustic waves via a phonon-assisted optical transition and by taking advantage of the strong excited-state elec...
optomechanical quantum control of a nitrogen-vacancy center in diamond
quantum physics can be exploited to generate true random numbers, which have important roles in many applications, especially in cryptography. genuine randomness from the measurement of a quantum system reveals the inherent nature of quantumness—coherence, an important feature that differentiates quantum mechanics from...
quantum random number generation
dynamical backaction resulting from radiation pressure forces in optomechanical systems has proven to be a versatile tool for manipulating mechanical vibrations. notably, dynamical backaction has resulted in the cooling of a mechanical resonator to its ground state, driving phonon lasing, the generation of entangled st...
dynamical backaction magnomechanics
water is vital to our everyday life, but its structure at a molecular level is still not fully understood from either experiment or theory. the latter is hampered by our inability to construct a purely predictive, first principles model. the difficulty in modeling water lies in capturing the delicate interplay among th...
ab initio theory and modeling of water
we apply the recently developed notion of complexity for field theory to a quantum quench through a critical point in 1 +1 dimensions. we begin with a toy model consisting of a quantum harmonic oscillator, and show that complexity exhibits universal scalings in both the slow and fast quench regimes. we then generalize ...
complexity as a novel probe of quantum quenches: universal scalings and purifications
we give a detailed theory for the leading coarse-grained dynamics of entanglement entropy of states and of operators in generic short-range interacting quantum many-body systems. this includes operators spreading under heisenberg time evolution, which we find are much less entangled than "typical" operators of the same...
coarse-grained dynamics of operator and state entanglement
quantifying coherence is a key task in both quantum-mechanical theory and practical applications. here, a reliable quantum coherence measure is presented by utilizing the quantum skew information of the state of interest subject to a certain broken observable. this coherence measure is proven to fulfill all the criteri...
quantum coherence via skew information and its polygamy
quantum field theories are the cornerstones of modern physics, providing relativistic and quantum mechanical descriptions of physical systems at the most fundamental level. simulating real-time dynamics within these theories remains elusive in classical computing. this provides a unique opportunity for quantum simulato...
toward simulating quantum field theories with controlled phonon-ion dynamics: a hybrid analog-digital approach
constraints on work extraction are fundamental to our operational understanding of the thermodynamics of both classical and quantum systems. in the quantum setting, finite-time control operations typically generate coherence in the instantaneous energy eigenbasis of the dynamical system. thermodynamic cycles can, in pr...
quantum coherence and ergotropy
we address entanglement transitions in monitored random quantum circuits of non-interacting fermions, in particular, the question of whether born-rule and forced measurements yield the same universality class. for a generic circuit with no symmetry other than fermion parity, acting on a one-dimensional majorana chain, ...
measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: born-rule versus forced measurements
non-hermitian quantum many-body systems are attracting widespread interest for their exotic properties, including unconventional quantum criticality and topology. here, we study how quantum information and correlations spread under a quantum quench generated by a prototypical non-hermitian spin chain. using the mapping...
entanglement and correlation spreading in non-hermitian spin chains
over the past few decades, experimental tests of bell-type inequalities have been at the forefront of understanding quantum mechanics and its implications. these strong bounds on specific measurements on a physical system originate from some of the most fundamental concepts of classical physics—in particular that prope...
optomechanical bell test
we consider the optimization of a finite-time carnot engine characterized by small dissipations. we bound the power with a simple inequality and show that the optimal strategy is to perform small cycles around a given working point, which can be, thus, chosen optimally. remarkably, this optimal point is independent of ...
optimal cycles for low-dissipation heat engines
hybrid spin-mechanical systems provide a platform for integrating quantum registers and transducers. efficient creation and control of such systems require a comprehensive understanding of the individual spin and mechanical components as well as their mutual interactions. point defects in silicon carbide (sic) offer lo...
spin-phonon interactions in silicon carbide addressed by gaussian acoustics
rapid development of supercomputers and the prospect of quantum computers are posing increasingly serious threats to the security of communication. using the principles of quantum mechanics, quantum communication offers provable security of communication and is a promising solution to counter such threats. quantum secu...
implementation and security analysis of practical quantum secure direct communication
detection of the weakest forces in nature is aided by increasingly sensitive measurements of the motion of mechanical oscillators. however, the attainable knowledge of an oscillator’s motion is limited by quantum fluctuations that exist even if the oscillator is in its lowest possible energy state. we demonstrate a tec...
quantum amplification of mechanical oscillator motion
the quantum nature of an oscillating mechanical object is anything but apparent. the coherent states that describe the classical motion of a mechanical oscillator do not have a well defined energy, but are quantum superpositions of equally spaced energy eigenstates. revealing this quantized structure is only possible w...
resolving the energy levels of a nanomechanical oscillator
we propose entanglement negativity as a fine-grained probe of measurement-induced criticality. we motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual information leads to a precise distinction between bipartite and multipartite entanglemen...
entanglement negativity at measurement-induced criticality
with the advent of quantum technologies comes the requirement of building quantum components able to store energy to be used whenever necessary, i.e., quantum batteries. in this paper we exploit an adiabatic protocol to ensure a stable charged state of a three-level quantum battery which allows one to avoid the spontan...
stable adiabatic quantum batteries
polynomially filtered exact diagonalization method (polfed) for large sparse matrices is introduced. the algorithm finds an optimal basis of a subspace spanned by eigenvectors with eigenvalues close to a specified energy target by a spectral transformation using a high order polynomial of the matrix. the memory require...
polynomially filtered exact diagonalization approach to many-body localization
conformal field theory (cft) has been extremely successful in describing large-scale universal effects in one-dimensional (1d) systems at quantum critical points. unfortunately, its applicability in condensed matter physics has been limited to situations in which the bulk is uniform because cft describes low-energy exc...
conformal field theory for inhomogeneous one-dimensional quantum systems: the example of non-interacting fermi gases
bosonic modes have wide applications in various quantum technologies, such as optical photons for quantum communication, magnons in spin ensembles for quantum information storage and mechanical modes for reversible microwave-to-optical quantum transduction. there is emerging interest in utilizing bosonic modes for quan...
quantum control of bosonic modes with superconducting circuits
we study the spreading of initially local operators under unitary time evolution in a one-dimensional random quantum circuit model that is constrained to conserve a u (1 ) charge and also the dipole moment of this charge. these constraints are motivated by the quantum dynamics of fracton phases. we discover that the ch...
localization in fractonic random circuits
we demonstrate conversion of up to 4.5 ghz-frequency microwaves to 1500 nm-wavelength light using optomechanical interactions on suspended thin-film lithium niobate. our method utilizes an interdigital transducer that drives a free-standing 100 $\mu$m-long thin-film acoustic resonator to modulate light travelling in a ...
microwave-to-optical conversion using lithium niobate thin-film acoustic resonators
the many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. in this review, we first give a pedagogical introduction to the equilibrium behavior of systems in that context, whose scaling framework is essentially developed b...
coherent and dissipative dynamics at quantum phase transitions
the unknown temperature of a sample can be estimated with minimal disturbance by putting it in thermal contact with an individual quantum probe. if the interaction time is sufficiently long so that the probe thermalizes, the temperature can be read-out directly from its steady state. here we prove that the optimal quan...
individual quantum probes for optimal thermometry
the theory of deconfined quantum critical (dqc) points describes phase transitions at absolute temperature t = 0 outside the standard paradigm, predicting continuous transformations between certain ordered states where conventional theory would require discontinuities. numerous computer simulations have offered no proo...
quantum criticality with two length scales
the theory of generalized hydrodynamics (ghd) was recently developed as a new tool for the study of inhomogeneous time evolution in many-body interacting systems with infinitely many conserved charges. in this letter, we show that it supersedes the widely used conventional hydrodynamics (chd) of one-dimensional bose ga...
large-scale description of interacting one-dimensional bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
the crystal structure of a solid largely dictates its electronic, optical and mechanical properties. indeed, much of the exploration of quantum materials in recent years including the discovery of new phases and phenomena in correlated, topological and two-dimensional materials—has been based on the ability to rational...
engineering crystal structures with light
the wigner function was formulated in 1932 by eugene paul wigner, at a time when quantum mechanics was in its infancy. in doing so, he brought phase space representations into quantum mechanics. however, its unique nature also made it very interesting for classical approaches and for identifying the deviations from cla...
recent advances in wigner function approaches
obtaining accurate properties of many-body interacting quantum matter is a long-standing challenge in theoretical physics and chemistry, rooting into the complexity of the many-body wave-function. classical representations of many-body states constitute a key tool for both analytical and numerical approaches to interac...
constructing exact representations of quantum many-body systems with deep neural networks
we study quantum field theories with boundaries by utilizing noninvertible symmetries. we consider three kinds of boundary conditions of the four dimensional z2 lattice gauge theory at the critical point as examples. the weights of the elements on the boundary are determined so that these boundary conditions are relate...
noninvertible symmetries and boundaries in four dimensions
non-reciprocal devices, which allow non-reciprocal signal routing, serve as fundamental elements in photonic and microwave circuits and are crucial in both classical and quantum information processing. the radiation-pressure-induced coupling between light and mechanical motion in travelling-wave resonators has been exp...
reconfigurable optomechanical circulator and directional amplifier
precise control of solid-state elastic waves' mode content and coherence is of great use nowadays in reinforcing mechanical energy harvesting/storage, nondestructive material testing, wave-matter interaction, high sensitivity sensing, and information processing, etc. its efficacy is highly dependent on having elastic t...
elastic pseudospin transport for integratable topological phononic circuits
free electron flows through constrictions in metals are often regarded as an ultimate high-conduction charge transfer. we predict that electron fluids can flow with a resistance that is much smaller than the fundamental quantum mechanical ballistic limit for nanoscale electronics. the "superballistic" low-dissipation t...
higher-than-ballistic conduction of viscous electron flows
we investigate the structure of many-body wave functions of 1d quantum circuits with local measurements employing the participation entropies. the leading term in system size dependence of participation entropy indicates a model-dependent multifractal scaling of the wave functions at any nonzero measurement rate. the s...
universal behavior beyond multifractality of wave functions at measurement-induced phase transitions
quantum computers achieve a speed-up by placing quantum bits (qubits) in superpositions of different states. however, it has recently been appreciated that quantum mechanics also allows one to `superimpose different operations'. furthermore, it has been shown that using a qubit to coherently control the gate order allo...
experimental superposition of orders of quantum gates
challenging quantum mechanical predictions is an important task to better understand the underlying principles of nature and possibly develop novel applications. quantum entanglement as one of the key features is often investigated in optical experiments to push the known limits from smaller to larger scales, for examp...
quantum entanglement of angular momentum states with quantum numbers up to 10,010
we refine previous investigations on de sitter space and extremal surfaces anchored at the future boundary i+. since such surfaces do not return, they require extra data or boundary conditions in the past (interior). in entirely lorentzian de sitter spacetime, this leads to future-past timelike surfaces stretching betw...
de sitter space, extremal surfaces, and time entanglement
yves couder, emmanuel fort, and coworkers recently discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own wave field. this article reviews experimental evidence indicating that the walking droplets exhibit certain features pre...
pilot-wave hydrodynamics
invasiveness of quantum measurements is a genuinely quantum mechanical feature that is not necessarily detrimental: here we show how quantum measurements can be used to fuel a cooling engine. we illustrate quantum measurement cooling (qmc) by means of a prototypical two-stroke two-qubit engine which interacts with a me...
quantum measurement cooling
precisely engineered mechanical oscillators keep time, filter signals and sense motion, making them an indispensable part of the technological landscape of today. these unique capabilities motivate bringing mechanical devices into the quantum domain by interfacing them with engineered quantum circuits. proposals to com...
quantum state preparation and tomography of entangled mechanical resonators
a new class of hybrid systems that couple optical, electrical and mechanical degrees of freedom in nanoscale devices is under development in laboratories worldwide. these nano-opto-electro-mechanical systems (noems) offer unprecedented opportunities to control the flow of light in nanophotonic structures, at high speed...
nano-opto-electro-mechanical systems
based on the method of hydrodynamic projections we derive a concise formula for the drude weight of the repulsive lieb-liniger $\delta$-bose gas. our formula contains only quantities which are obtainable from the thermodynamic bethe ansatz. the drude weight is an infinite-dimensional matrix, or bilinear functional: it ...
drude weight for the lieb-liniger bose gas
we present a thorough analysis of the entanglement entropies related to different symmetry sectors of free quantum field theories (qft) with an internal u(1) symmetry. we provide explicit analytic computations for the charged moments of dirac and complex scalar fields in two spacetime dimensions, both in the massive an...
entanglement and symmetry resolution in two dimensional free quantum field theories
statistical mechanics can predict thermal equilibrium states for most classical systems, but for an isolated quantum system there is no general understanding on how equilibrium states dynamically emerge from the microscopic hamiltonian. for instance, quantum systems that are near-integrable usually fail to thermalize i...
observation of prethermalization in long-range interacting spin chains
gauss’s law dictates that the net electric field inside a conductor in electrostatic equilibrium is zero by effective charge screening; free carriers within a metal eliminate internal dipoles that may arise owing to asymmetric charge distributions. quantum physics supports this view, demonstrating that delocalized elec...
polar metals by geometric design
measurement-driven transitions between extensive and subextensive scaling of the entanglement entropy receive interest as they illuminate the intricate physics of thermalization and control in open interacting quantum systems. while this transition is well established for stroboscopic measurements in random quantum cir...
universality of entanglement transitions from stroboscopic to continuous measurements
krylov complexity is a measure of operator complexity that exhibits universal behavior and bounds a large class of other measures. in this paper, we generalize krylov complexity from a closed system to an open system coupled to a markovian bath, where lindbladian evolution replaces hamiltonian evolution. we show that k...
krylov complexity in open quantum systems
the exponential growth or decay with time of the out-of-time-order commutator (otoc) is one widely used diagnostic of many-body chaos in spatially extended systems. in studies of many-body classical chaos, it has been noted that one can define a velocity-dependent lyapunov exponent, λ (v ) , which is the growth or deca...
velocity-dependent lyapunov exponents in many-body quantum, semiclassical, and classical chaos
quantum heat engines are subjected to quantum fluctuations related to their discrete energy spectra. such fluctuations question the reliable operation of thermal machines in the quantum regime. here, we realize an endoreversible quantum otto cycle in the large quasi-spin states of cesium impurities immersed in an ultra...
a quantum heat engine driven by atomic collisions
we study theoretically how local measurements performed on critical quantum ground states affect long-distance correlations. these states are highly entangled and feature algebraic correlations between local observables. as a consequence, local measurements can have highly nonlocal effects. our focus is on tomonaga-lut...
measurements conspire nonlocally to restructure critical quantum states
topology in quantum matter is typically associated with gapped phases. for example, in symmetry protected topological (spt) phases, the bulk energy gap localizes edge modes near the boundary. in this work we identify a new mechanism that leads to topological phases which are not only gapless but where the absence of a ...
intrinsically gapless topological phases
this article sets up a new formalism to investigate stochastic thermodynamics in the quantum regime, where stochasticity and irreversibility primarily come from quantum measurement. in the absence of any bath, we define a purely quantum component to heat exchange, that corresponds to energy fluctuations caused by quant...
the role of quantum measurement in stochastic thermodynamics
in the past decade there has been a surge in research at the boundary between photonics and phononics. most efforts have centred on coupling light to motion in a high-quality optical cavity, typically geared towards manipulating the quantum state of a mechanical oscillator. it was recently predicted that the strength o...
interaction between light and highly confined hypersound in a silicon photonic nanowire
the efficient conversion of thermal energy to mechanical work by a heat engine is an ongoing technological challenge. since the pioneering work of carnot, it has been known that the efficiency of heat engines is bounded by a fundamental upper limit—the carnot limit. theoretical studies suggest that heat engines may be ...
squeezed thermal reservoirs as a resource for a nanomechanical engine beyond the carnot limit
the η -pairing states are a set of exactly known eigenstates of the hubbard model on hypercubic lattices, first discovered by yang [c. n. yang, phys. rev. lett. 63, 2144 (1989), 10.1103/physrevlett.63.2144]. these states are not many-body scar states in the hubbard model because they occupy unique symmetry sectors defi...
η -pairing states as true scars in an extended hubbard model
quantum batteries are quantum-mechanical systems with many degrees of freedom which can be used to store energy and that display fast charging. the physics behind fast charging is still unclear. is it just due to the collective behavior of the underlying interacting many-body system, or does it have its roots in the qu...
quantum versus classical many-body batteries
quantum mechanics is now a mature topic dating back more than a century. during its scientific development, it fostered many technological advances that now are integrated into our everyday lives. more recently, over the past few decades, the authors have seen the emergence of a second quantum revolution, ushering in c...
quantum mechanics with patterns of light: progress in high dimensional and multidimensional entanglement with structured light
it is well known that by repeatedly measuring a quantum system it is possible to completely freeze its dynamics into a well defined state, a signature of the quantum zeno effect. here we show that for a many-body system evolving under competing unitary evolution and variable-strength measurements the onset of the zeno ...
many-body quantum zeno effect and measurement-induced subradiance transition
an optically levitated nanoparticle in vacuum is a paradigm optomechanical system for sensing and studying macroscopic quantum mechanics. while its center-of-mass motion has been investigated intensively, its torsional vibration has only been studied theoretically in limited cases. here we report the first experimental...
torsional optomechanics of a levitated nonspherical nanoparticle
the highly complicated nature of far from equilibrium systems can lead to a complete breakdown of the physical intuition developed in equilibrium. a famous example of this is the mpemba effect, which states that non-equilibrium states may relax faster when they are further from equilibrium or, put another way, hot wate...
microscopic origin of the quantum mpemba effect in integrable systems
recent progress in the realm of noisy intermediate-scale quantum (nisq) devices [j. preskill, quantum 2, 79 (2018)] represents an exciting opportunity for many-body physics by introducing new laboratory platforms with unprecedented control and measurement capabilities. we explore the implications of nisq platforms for ...
many-body physics in the nisq era: quantum programming a discrete time crystal
it is very common in the literature to write a markovian quantum master equation in lindblad form to describe a system with multiple degrees of freedom and weakly connected to multiple thermal baths which can, in general, be at different temperatures and chemical potentials. however, the microscopically derived quantum...
fundamental limitations in lindblad descriptions of systems weakly coupled to baths
quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. dissipative phase transitions in steady states of time-independent liouvillians and measurement induced phase transi...
dissipative floquet dynamics: from steady state to measurement induced criticality in trapped-ion chains
we consider growth of local operators under euclidean time evolution in lattice systems with local interactions. we derive rigorous bounds on the operator norm growth and then proceed to establish an analog of the lieb-robinson bound for the spatial growth. in contrast to the minkowski case when ballistic spreading of ...
euclidean operator growth and quantum chaos
diffusion of tracer particles in the cytoplasm of mammalian cells is often anomalous with a marked heterogeneity even within individual particle trajectories. despite considerable efforts, the mechanisms behind these observations have remained largely elusive. to tackle this problem, we performed extensive single-parti...
elucidating the origin of heterogeneous anomalous diffusion in the cytoplasm of mammalian cells
statistical mechanics underlies our understanding of macroscopic quantum systems. it is based on the assumption that out-of-equilibrium systems rapidly approach their equilibrium states, forgetting any information about their microscopic initial conditions. this fundamental paradigm is challenged by disordered systems,...
critical thermalization of a disordered dipolar spin system in diamond
heterostructures of atomically thin van der waals bonded monolayers have opened a unique platform to engineer coulomb correlations, shaping excitonic1-3, mott insulating4 or superconducting phases5,6. in transition metal dichalcogenide heterostructures7, electrons and holes residing in different monolayers can bind int...
ultrafast transition between exciton phases in van der waals heterostructures
the concept of geometrical frustration has led to rich insights into condensed matter physics, especially as a mechanism to produce exotic low-energy states of matter. here we show that frustration provides a natural vehicle to generate models exhibiting anomalous thermalization of various types within high-energy stat...
disorder-free localization and many-body quantum scars from magnetic frustration
light-matter interactions have generated considerable interest as a means to manipulate material properties. light-induced superconductivity has been demonstrated using pulsed lasers. an attractive alternative possibility is to exploit strong light-matter interactions arising by coupling phonons to the vacuum electroma...
exploring superconductivity under strong coupling with the vacuum electromagnetic field
scar states are special many-body eigenstates that weakly violate the eigenstate thermalization hypothesis (eth). using the explicit formalism of the lanczos algorithm, usually known as the forward scattering approximation in this context, we compute the krylov state (spread) complexity of typical states generated by t...
probing quantum scars and weak ergodicity breaking through quantum complexity
the radiation pressure of light can act to damp and cool the vibrational motion of a mechanical resonator, but even if the light field has no thermal component, shot noise still sets a limit on the minimum phonon occupation. in optomechanical sideband cooling in a cavity, the finite off-resonant stokes scattering defin...
laser cooling of a micromechanical membrane to the quantum backaction limit
we argue that the ac conductivity σ (ω ) in the many-body localized phase is a power law of frequency ω at low frequency: specifically, σ (ω ) ∼ωα with the exponent α approaching 1 at the phase transition to the thermal phase, and asymptoting to 2 deep in the localized phase. we identify two separate mechanisms giving ...
low-frequency conductivity in many-body localized systems
we study weak ergodicity breaking in a one-dimensional, nonintegrable spin-1 xy model. we construct for it an exact, highly excited eigenstate, which despite its large energy density, can be represented analytically by a finite bond-dimension matrix product state (mps) with area-law entanglement. upon a quench to a fin...
quantum many-body scars from virtual entangled pairs
plasmonics is a rapidly developing field at the boundary of physical optics and condensed matter physics. it studies phenomena induced by and associated with surface plasmons—elementary polar excitations bound to surfaces and interfaces of good nanostructured metals. this roadmap is written collectively by prominent re...
roadmap on plasmonics
a common wisdom in quantum mechanics is that the hamiltonian has to be hermitian in order to ensure a real eigenvalue spectrum. yet, parity-time (pt)-symmetric hamiltonians are sufficient for real eigenvalues and therefore constitute a complex extension of quantum mechanics beyond the constraints of hermiticity. howeve...
observation of pt-symmetric quantum interference
a one-dimensional dissipative hubbard model with two-body loss is shown to be exactly solvable. we obtain an exact eigenspectrum of a liouvillian superoperator by employing a non-hermitian extension of the bethe-ansatz method. we find steady states, the liouvillian gap, and an exceptional point that is accompanied by t...
exact liouvillian spectrum of a one-dimensional dissipative hubbard model
using quantum gas microscopy, we study the late-time effective hydrodynamics of an isolated cold-atom fermi-hubbard system subject to an external linear potential (a "tilt"). the tilt is along one of the principal directions of the two-dimensional square lattice and couples mass transport to local heating through energ...
subdiffusion and heat transport in a tilted two-dimensional fermi-hubbard system
important properties of a particle, wave or a statistical system depend on the form of a dispersion relation (dr). two commonly-discussed dispersion relations are the gapless phonon-like dr and the dr with the energy or frequency gap. more recently, the third and intriguing type of dr has been emerging in different are...
gapped momentum states
in this work, we investigate spectral complexity and krylov complexity in quantum billiard systems at finite temperature. we study both circle and stadium billiards as paradigmatic examples of integrable and non-integrable quantum-mechanical systems, respectively. we show that the saturation value and time scale of spe...
spectral and krylov complexity in billiard systems
photoemission of an electron is commonly treated as a one-particle phenomenon. with attosecond streaking spectroscopy we observe the breakdown of this single active-electron approximation by recording up to six attoseconds retardation of the dislodged photoelectron due to electronic correlations. we recorded the photon...
attosecond correlation dynamics
the existence or absence of nonanalytic cusps in the loschmidt-echo return rate is traditionally employed to distinguish between a regular dynamical phase (regular cusps) and a trivial phase (no cusps) in quantum spin chains after a global quench. however, numerical evidence in a recent study (j. c. halimeh and v. zaun...
anomalous dynamical phase in quantum spin chains with long-range interactions
we investigate relaxation in the recently discovered "fracton" models and discover that these models naturally host glassy quantum dynamics in the absence of quenched disorder. we begin with a discussion of "type i" fracton models, in the taxonomy of vijay, haah, and fu. we demonstrate that in these systems, the mobili...
glassy quantum dynamics in translation invariant fracton models
we investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a conserved charge. we compute the spectral form factor k (t ) analytically for a minimal floquet circuit model that has a u (1 ) symmetry encoded via spin-1 /2 degrees of freedom. averaging over an ensemble of realizations...
spectral statistics and many-body quantum chaos with conserved charge
a century-old tenet in physics and engineering asserts that any type of system, having bandwidth δω, can interact with a wave over only a constrained time period δt inversely proportional to the bandwidth (δt·δω ~ 2π). this law severely limits the generic capabilities of all types of resonant and wave-guiding systems i...
breaking lorentz reciprocity to overcome the time-bandwidth limit in physics and engineering
the interplay between unitary dynamics and local quantum measurements results in unconventional nonunitary dynamical phases and transitions. in this paper we investigate the dynamics of (d +1 ) -dimensional hybrid stabilizer circuits, for d =1 ,2 ,3 . we characterize the measurement-induced phases and their transitions...
measurement-induced phase transitions in (d +1 ) -dimensional stabilizer circuits
we derive geometrical bounds on the irreversibility in both quantum and classical markovian open systems that satisfy the detailed balance condition. using information geometry, we prove that irreversible entropy production is bounded from below by a modified wasserstein distance between the initial and final states, t...
geometrical bounds of the irreversibility in markovian systems
the number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. this universal scaling law is the key prediction of the kibble-zurek mechanism (kzm), and testing it using a hardware-based quantum simulator is a coveted goal of quantum i...
probing the universality of topological defect formation in a quantum annealer: kibble-zurek mechanism and beyond
the inexorable miniaturisation of technologies, the relentless drive to improve efficiency and the enticing prospect of boosting performance through quantum effects are all compelling reasons to investigate microscopic machines. thermal absorption machines are a particularly interesting class of device that operate aut...
quantum thermal absorption machines: refrigerators, engines and clocks