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nearly one century after the birth of quantum mechanics, parity-time symmetry is revolutionizing and extending quantum theories to include a unique family of non-hermitian hamiltonians. while conceptually striking, experimental demonstration of parity-time symmetry remains unexplored in quantum electronic systems. the ...
non-hermitian photonics based on parity-time symmetry
a quantum simulator is a type of quantum computer that controls the interactions between quantum bits (or qubits) in a way that can be mapped to certain quantum many-body problems. as it becomes possible to exert more control over larger numbers of qubits, such simulators will be able to tackle a wider range of problem...
observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
spontaneous symmetry breaking is a fundamental concept in many areas of physics, including cosmology, particle physics and condensed matter. an example is the breaking of spatial translational symmetry, which underlies the formation of crystals and the phase transition from liquid to solid. using the analogy of crystal...
observation of a discrete time crystal
the dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body systems, to applications in condensed matter theory, quantum transport, quantum ch...
colloquium: non-markovian dynamics in open quantum systems
antiferromagnets are hard to control by external magnetic fields because of the alternating directions of magnetic moments on individual atoms and the resulting zero net magnetization. however, relativistic quantum mechanics allows for generating current-induced internal fields whose sign alternates with the periodicit...
electrical switching of an antiferromagnet
in recent years, the mathematical concept of topology has been used to predict and harness the propagation of waves such as light or sound in materials. however, these advances have so far been realized in idealized scenarios, where waves do not attenuate. in this research, we demonstrate that topological properties of...
observation of non-hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
quantum espresso is an open-source distribution of computer codes for quantum-mechanical materials modeling, based on density-functional theory, pseudopotentials, and plane waves, and renowned for its performance on a wide range of hardware architectures, from laptops to massively parallel computers, as well as for the...
quantum espresso toward the exascale
conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. they describe continuous phase transitions in fluids, magnets, and numerous other materials, while at the same time sit at the heart of our modern understanding of quantum field theory. for de...
the conformal bootstrap: theory, numerical techniques, and applications
following the first experimental realization of graphene, other ultrathin materials with unprecedented electronic properties have been explored, with particular attention given to the heavy group-iv elements si, ge and sn. two-dimensional buckled si-based silicene has been recently realized by molecular beam epitaxy gr...
epitaxial growth of two-dimensional stanene
crystalexplorer is a native cross-platform program for the visualization and investigation of molecular crystal structures.
crystalexplorer: a program for hirshfeld surface analysis, visualization and quantitative analysis of molecular crystals
the modern theory of charge polarization in solids is based on a generalization of berry’s phase. the possibility of the quantization of this phase arising from parallel transport in momentum space is essential to our understanding of systems with topological band structures. although based on the concept of charge pol...
observation of a phononic quadrupole topological insulator
statistical mechanics relies on the maximization of entropy in a system at thermal equilibrium. however, an isolated quantum many-body system initialized in a pure state remains pure during schrödinger evolution, and in this sense it has static, zero entropy. we experimentally studied the emergence of statistical mecha...
quantum thermalization through entanglement in an isolated many-body system
the discovery of the photoelectric effect by heinrich hertz in 1887 set the foundation for over 125 years of hot carrier science and technology. in the early 1900s it played a critical role in the development of quantum mechanics, but even today the unique properties of these energetic, hot carriers offer new and excit...
plasmon-induced hot carrier science and technology
local realism is the worldview in which physical properties of objects exist independently of measurement and where physical influences cannot travel faster than the speed of light. bell's theorem states that this worldview is incompatible with the predictions of quantum mechanics, as is expressed in bell's inequalitie...
significant-loophole-free test of bell's theorem with entangled photons
entanglement is one of the most intriguing features of quantum mechanics. it describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. entanglement is now being studied in diverse fields ranging from condensed matter to quantum gravity. however, measuring entanglemen...
measuring entanglement entropy in a quantum many-body system
we give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency floquet hamiltonian is not equal to the time-averaged hamiltonian. these classes cover systems, such as the kapitza pendulum, the harper-hofstad...
universal high-frequency behavior of periodically driven systems: from dynamical stabilization to floquet engineering
we define what it means for time translation symmetry to be spontaneously broken in a quantum system and show with analytical arguments and numerical simulations that this occurs in a large class of many-body-localized driven systems with discrete time-translation symmetry.
floquet time crystals
quantum circuits-built from local unitary gates and local measurements-are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far from equilibrium. these models have shed light on longstanding questions about thermalization and chaos, and on the underlying u...
random quantum circuits
a fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. recently, the emergence of many-body localized systems has questioned this concept and challenged our understanding of the connection between statistical physics and quantum mechanics. h...
exploring the many-body localization transition in two dimensions
how do closed quantum many-body systems driven out of equilibrium eventually achieve equilibration? and how do these systems thermalize, given that they comprise so many degrees of freedom? progress in answering these--and related--questions has accelerated in recent years--a trend that can be partially attributed to s...
quantum many-body systems out of equilibrium
this topical review article gives an overview of the interplay between quantum information theory and thermodynamics of quantum systems. we focus on several trending topics including the foundations of statistical mechanics, resource theories, entanglement in thermodynamic settings, fluctuation theorems and thermal mac...
the role of quantum information in thermodynamics—a topical review
thermalization is the inevitable fate of many complex quantum systems, whose dynamics allow them to fully explore the vast configuration space regardless of the initial state—the behaviour known as quantum ergodicity. in a quest for experimental realizations of coherent long-time dynamics, efforts have focused on ergod...
quantum many-body scars and weak breaking of ergodicity
we introduce a scheme for molecular simulations, the deep potential molecular dynamics (dpmd) method, based on a many-body potential and interatomic forces generated by a carefully crafted deep neural network trained with ab initio data. the neural network model preserves all the natural symmetries in the problem. it i...
deep potential molecular dynamics: a scalable model with the accuracy of quantum mechanics
deep learning has led to a paradigm shift in artificial intelligence, including web, text, and image search, speech recognition, as well as bioinformatics, with growing impact in chemical physics. machine learning, in general, and deep learning, in particular, are ideally suitable for representing quantum-mechanical in...
schnet - a deep learning architecture for molecules and materials
recent progress on nonlinear properties of parity-time (pt )-symmetric systems is comprehensively reviewed in this article. pt symmetry started out in non-hermitian quantum mechanics, where complex potentials obeying pt symmetry could exhibit all-real spectra. this concept later spread out to optics, bose-einstein cond...
nonlinear waves in pt -symmetric systems
the discovery of quantum many-body scars (qmbs) both in rydberg atom simulators and in the affleck-kennedy-lieb-tasaki spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and theoretical physics. in this review, we provide a pedagogical introduction to and an overview ...
quantum many-body scars and hilbert space fragmentation: a review of exact results
twisted van der waals heterostructures have latterly received prominent attention for their many remarkable experimental properties and the promise that they hold for realizing elusive states of matter in the laboratory. we propose that these systems can, in fact, be used as a robust quantum simulation platform that en...
moiré heterostructures as a condensed-matter quantum simulator
in 1929, only three years after the advent of quantum mechanics, von neumann and wigner showed that schrödinger’s equation can have bound states above the continuum threshold. these peculiar states, called bound states in the continuum (bics), manifest themselves as resonances that do not decay. for several decades aft...
lasing action from photonic bound states in continuum
quantum correlations between two parties are essential for the argument of einstein, podolsky, and rosen in favor of the incompleteness of quantum mechanics. schrödinger noted that an essential point is the fact that one party can influence the wave function of the other party by performing suitable measurements. he ca...
quantum steering
quantum coherence is an essential ingredient in quantum information processing and plays a central role in emergent fields such as nanoscale thermodynamics and quantum biology. however, our understanding and quantitative characterization of coherence as an operational resource are still very limited. here we show that ...
measuring quantum coherence with entanglement
we define dynamical universality classes for many-body systems whose unitary evolution is punctuated by projective measurements. in cases where such measurements occur randomly at a finite rate p for each degree of freedom, we show that the system has two dynamical phases: "entangling" and "disentangling." the former o...
measurement-induced phase transitions in the dynamics of entanglement
random quantum circuits yield minimally structured models for chaotic quantum dynamics, which are able to capture, for example, universal properties of entanglement growth. we provide exact results and coarse-grained models for the spreading of operators by quantum circuits made of haar-random unitaries. we study both ...
operator spreading in random unitary circuits
using conservation of energy - a fundamental property of closed classical and quantum mechanical systems - we develop an efficient gradient-domain machine learning (gdml) approach to construct accurate molecular force fields using a restricted number of samples from ab initio molecular dynamics (aimd) trajectories. the...
machine learning of accurate energy-conserving molecular force fields
quantum fisher information matrix (qfim) is a core concept in theoretical quantum metrology due to the significant importance of quantum cramér-rao bound in quantum parameter estimation. however, studies in recent years have revealed wide connections between qfim and other aspects of quantum mechanics, including quantu...
quantum fisher information matrix and multiparameter estimation
topological operations can achieve certain goals without requiring accurate control over local operational details; for example, they have been used to control geometric phases and have been proposed as a way of controlling the state of certain systems within their degenerate subspaces. more recently, it was predicted ...
topological energy transfer in an optomechanical system with exceptional points
matrix-product states have become the de facto standard for the representation of one-dimensional quantum many body states. during the last few years, numerous new methods have been introduced to evaluate the time evolution of a matrix-product state. here, we will review and summarize the recent work on this topic as a...
time-evolution methods for matrix-product states
the hubbard model is the simplest model of interacting fermions on a lattice and is of similar importance to correlated electron physics as the ising model is to statistical mechanics or the fruit fly to biomedical science. despite its simplicity, the model exhibits an incredible wealth of phases, phase transitions, an...
the hubbard model: a computational perspective
what happens in an isolated quantum system when both disorder and interactions are present? over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. we present a basic introduction to the topic of many-body localization, using the simple examp...
many-body localization: an introduction and selected topics
fracton phases constitute a new class of quantum state of matter. they are characterized by excitations that exhibit restricted mobility, being either immobile under local hamiltonian dynamics or mobile only in certain directions. these phases do not wholly fit into any of the existing paradigms but connect to areas in...
fractons
we revisit two-dimensional holography with the sachdev-ye-kitaev models in mind. our main result is to rewrite a generic theory of gravity near a two-dimensional anti-de sitter spacetime throat as a novel hydrodynamics coupled to the correlation functions of a conformal quantum mechanics. this gives a prescription for ...
chaos in ads2 holography
a topological insulator, as originally proposed for electrons governed by quantum mechanics, is characterized by a dichotomy between the interior and the edge of a finite system: the bulk has an energy gap, and the edges sustain excitations traversing this gap. however, it has remained an open question whether the same...
observation of phononic helical edge states in a mechanical topological insulator
we show how a finite number of conservation laws can globally "shatter" hilbert space into exponentially many dynamically disconnected subsectors, leading to an unexpected dynamics with features reminiscent of both many-body localization and quantum scars. a crisp example of this phenomenon is provided by a "fractonic"...
localization from hilbert space shattering: from theory to physical realizations
characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. in the quantum realm, the many-body localization (mbl) was proposed to be the paradigmatic ergodicity breaking phenomenon, which extends the concept of anderson localization to interacting systems. a...
quantum chaos challenges many-body localization
we analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. we introduce a random unitary circuit model with intermittent projective measurements, in which the degree of information scrambling by the unitary and the rate o...
quantum error correction in scrambling dynamics and measurement-induced phase transition
over the last decade impressive progress has been made in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. many physically relevant models in one dimension are bethe-ansatz integrable, including the anisotropic spin-1 /2 heisenberg (also called the spin-1 /2 xxz c...
finite-temperature transport in one-dimensional quantum lattice models
an interacting quantum system that is subject to disorder may cease to thermalize owing to localization of its constituents, thereby marking the breakdown of thermodynamics. the key to understanding this phenomenon lies in the system’s entanglement, which is experimentally challenging to measure. we realize such a many...
probing entanglement in a many-body-localized system
in recent years, the study of heat to work conversion has been re-invigorated by nanotechnology. steady-state devices do this conversion without any macroscopic moving parts, through steady-state flows of microscopic particles such as electrons, photons, phonons, etc. this review aims to introduce some of the theories ...
fundamental aspects of steady-state conversion of heat to work at the nanoscale
the study of classical wave physics has been reinvigorated by incorporating the concept of the geometric phase, which has its roots in optics, and topological notions that were previously explored in condensed matter physics. recently, sound waves and a variety of mechanical systems have emerged as excellent platforms ...
topological phases in acoustic and mechanical systems
continuously monitoring the environment of a quantum many-body system reduces the entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of the measurements. we show that, for mixed initial states, a balanced competition between measurements and entangling interactions within the sy...
dynamical purification phase transition induced by quantum measurements
quantum coherence and quantum correlations are of fundamental and practical significance for the development of quantum mechanics. they are also cornerstones of quantum computation and quantum communication theory. searching physically meaningful and mathematically rigorous quantifiers of them are long-standing concern...
quantum coherence and geometric quantum discord
gauge theories are fundamental to our understanding of interactions between the elementary constituents of matter as mediated by gauge bosons. however, computing the real-time dynamics in gauge theories is a notorious challenge for classical computational methods. this has recently stimulated theoretical effort, using ...
real-time dynamics of lattice gauge theories with a few-qubit quantum computer
we introduce and explore a one-dimensional "hybrid" quantum circuit model consisting of both unitary gates and projective measurements. while the unitary gates are drawn from a random distribution and act uniformly in the circuit, the measurements are made at random positions and times throughout the system. by varying...
quantum zeno effect and the many-body entanglement transition
in this paper we continue to explore "hybrid" quantum circuit models in one-dimension with both unitary and measurement gates, focusing on the entanglement properties of wave function trajectories at long times, in the steady state. we simulate a large class of clifford circuits, including models with or without random...
measurement-driven entanglement transition in hybrid quantum circuits
we consider the nonequilibrium time evolution of piecewise homogeneous states in the x x z spin-1 /2 chain, a paradigmatic example of an interacting integrable model. the initial state can be thought of as the result of joining chains with different global properties. through dephasing, at late times, the state becomes...
transport in out-of-equilibrium x x z chains: exact profiles of charges and currents
characterizing how entanglement grows with time in a many-body system, for example, after a quantum quench, is a key problem in nonequilibrium quantum physics. we study this problem for the case of random unitary dynamics, representing either hamiltonian evolution with time-dependent noise or evolution by a random quan...
quantum entanglement growth under random unitary dynamics
out of equilibrium, a lack of reciprocity is the rule rather than the exception. non-reciprocity occurs, for instance, in active matter1-6, non-equilibrium systems7-9, networks of neurons10,11, social groups with conformist and contrarian members12, directional interface growth phenomena13-15 and metamaterials16-20. al...
non-reciprocal phase transitions
to access superconductivity via the electric field effect in a clean, two-dimensional device is a central goal of nanoelectronics. recently, superconductivity has been realized in graphene moiré heterostructures1-4; however, many of these structures are not mechanically stable, and experiments show signatures of strong...
superconductivity in rhombohedral trilayer graphene
heat engines convert thermal energy into mechanical work and generally involve a large number of particles. we report the experimental realization of a single-atom heat engine. an ion is confined in a linear paul trap with tapered geometry and driven thermally by coupling it alternately to hot and cold reservoirs. the ...
a single-atom heat engine
entropy production is a key quantity in any finite-time thermodynamic process. it is intimately tied with the fundamental laws of thermodynamics, embodying a tool to extend thermodynamic considerations all the way to nonequilibrium processes. it is also often used in attempts to provide the quantitative characterizatio...
irreversible entropy production: from classical to quantum
the ability to accurately control the dynamics of physical systems by measurement and feedback is a pillar of modern engineering1. today, the increasing demand for applied quantum technologies requires adaptation of this level of control to individual quantum systems2,3. achieving this in an optimal way is a challengin...
real-time optimal quantum control of mechanical motion at room temperature
classifying phases of matter is key to our understanding of many problems in physics. for quantum-mechanical systems in particular, the task can be daunting due to the exponentially large hilbert space. with modern computing power and access to ever-larger data sets, classification problems are now routinely solved usi...
learning phase transitions by confusion
in little more than 20 years, the number of applications of the density functional (df) formalism in chemistry and materials science has grown in an astonishing fashion. the number of publications alone shows that df calculations make up a huge success story, and many younger colleagues are surprised to learn that the ...
density functional theory: its origins, rise to prominence, and future
this is a review of the sachdev-ye-kitaev (syk) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-fermi liquids in condensed matter physics. the review is placed in the context of numerous experimental observations on correlated ...
sachdev-ye-kitaev models and beyond: window into non-fermi liquids
quantum many-body systems display rich phase structure in their low-temperature equilibrium states1. however, much of nature is not in thermal equilibrium. remarkably, it was recently predicted that out-of-equilibrium systems can exhibit novel dynamical phases2-8 that may otherwise be forbidden by equilibrium thermodyn...
time-crystalline eigenstate order on a quantum processor
we investigate the critical behavior of the entanglement transition induced by projective measurements in (haar) random unitary quantum circuits. using a replica approach, we map the calculation of the entanglement entropies in such circuits onto a two-dimensional statistical-mechanics model. in this language, the area...
measurement-induced criticality in random quantum circuits
we present a theory of the entanglement transition tuned by measurement strength in qudit chains evolved by random unitary circuits and subject to either weak or random projective measurements. the transition can be understood as a nonanalytic change in the amount of information extracted by the measurements about the ...
theory of the phase transition in random unitary circuits with measurements
atomically thin two-dimensional semiconductors such as mos2 hold great promise for electrical, optical and mechanical devices and display novel physical phenomena. however, the electron mobility of mono- and few-layer mos2 has so far been substantially below theoretically predicted limits, which has hampered efforts to...
multi-terminal transport measurements of mos2 using a van der waals heterostructure device platform
we have built a new type of mechanical metamaterial: a "gyroscopic metamaterial" composed of rapidly spinning objects that are coupled to each other. at the edges of these materials, we find sound waves that are topologically protected (i.e. they cannot be scattered backward or into the bulk). these waves, which propag...
topological mechanics of gyroscopic metamaterials
recently, several quantum machine learning algorithms have been proposed that may offer quantum speed-ups over their classical counterparts. most of these algorithms are either heuristic or assume that data can be accessed quantum-mechanically, making it unclear whether a quantum advantage can be proven without resorti...
a rigorous and robust quantum speed-up in supervised machine learning
entanglement, an essential feature of quantum theory that allows for inseparable quantum correlations to be shared between distant parties, is a crucial resource for quantum networks1. of particular importance is the ability to distribute entanglement between remote objects that can also serve as quantum memories. this...
remote quantum entanglement between two micromechanical oscillators
the theory of phase transitions represents a central concept for the characterization of equilibrium matter. in this work we study experimentally an extension of this theory to the nonequilibrium dynamical regime termed dynamical quantum phase transitions (dqpts). we investigate and measure dqpts in a string of ions si...
direct observation of dynamical quantum phase transitions in an interacting many-body system
despite being forbidden in equilibrium, spontaneous breaking of time translation symmetry can occur in periodically driven, floquet systems with discrete time-translation symmetry. the period of the resulting discrete time crystal is quantized to an integer multiple of the drive period, arising from a combination of co...
discrete time crystals: rigidity, criticality, and realizations
optical quantum states based on entangled photons are essential for solving questions in fundamental physics and are at the heart of quantum information science. specifically, the realization of high-dimensional states (d-level quantum systems, that is, qudits, with d > 2) and their control are necessary for fundame...
on-chip generation of high-dimensional entangled quantum states and their coherent control
critical systems represent physical boundaries between different phases of matter and have been intensely studied for their universality and rich physics. yet, with the rise of non-hermitian studies, fundamental concepts underpinning critical systems - like band gaps and locality - are increasingly called into question...
critical non-hermitian skin effect
an extensively pursued current direction of research in physics aims at the development of practical technologies that exploit the effects of quantum mechanics. as part of this ongoing effort, devices for quantum information processing, secure communication, and high-precision sensing are being implemented with diverse...
quantum technologies with hybrid systems
understanding the general principles underlying strongly interacting quantum states out of equilibrium is one of the most important tasks of current theoretical physics. with experiments accessing the intricate dynamics of many-body quantum systems, it is paramount to develop powerful methods that encode the emergent p...
emergent hydrodynamics in integrable quantum systems out of equilibrium
in ordinary thermodynamics, transitions are governed by a single quantity-the free energy. its monotonicity is a formulation of the second law. here, we find that the second law for microscopic or highly correlated systems takes on a very different form than it does at the macroscopic scale, imposing not just one const...
the second laws of quantum thermodynamics
dftb+ is a versatile community developed open source software package offering fast and efficient methods for carrying out atomistic quantum mechanical simulations. by implementing various methods approximating density functional theory (dft), such as the density functional based tight binding (dftb) and the extended t...
dftb+, a software package for efficient approximate density functional theory based atomistic simulations
quantum entanglement is a phenomenon whereby systems cannot be described independently of each other, even though they may be separated by an arbitrarily large distance1. entanglement has a solid theoretical and experimental foundation and is the key resource behind many emerging quantum technologies, including quantum...
stabilized entanglement of massive mechanical oscillators
quantum fluctuations are the origin of genuine quantum many-body effects, and can be neglected in classical mean-field phenomena. here, we report on the observation of stable quantum droplets containing ∼800 atoms that are expected to collapse at the mean-field level due to the essentially attractive interaction. by sy...
observation of quantum droplets in a strongly dipolar bose gas
we numerically study both the avalanche instability and many-body resonances in strongly disordered spin chains exhibiting many-body localization (mbl). finite-size systems behave like mbl within the mbl regimes, which we divide into the asymptotic mbl phase and the finite-size mbl regime; the latter regime is, however...
avalanches and many-body resonances in many-body localized systems
we report a new type of phononic crystals with topologically nontrivial band gaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. in our design, gyroscopic inertial effects are used to break the time-reversal symmetry and realize the phononic analogue of the electr...
topological phononic crystals with one-way elastic edge waves
according to the mean-field theory a condensed bose-bose mixture collapses when the interspecies attraction becomes stronger than the geometrical average of the intraspecies repulsions, g122>g11g22. we show that instead of collapsing such a mixture gets into a dilute liquidlike droplet state stabilized by quantum fl...
quantum mechanical stabilization of a collapsing bose-bose mixture
the thermalization of isolated quantum many-body systems is deeply related to fundamental questions of quantum information theory. while integrable or many-body localized systems display non-ergodic behavior due to extensively many conserved quantities, recent theoretical studies have identified a rich variety of more ...
observing non-ergodicity due to kinetic constraints in tilted fermi-hubbard chains
we study chaos and scrambling in unitary channels by considering their entanglement properties as states. using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum information. we show that the generic decay of such correlators implies that any input su...
chaos in quantum channels
the study of non-hermitian systems with parity-time (pt) symmetry is a rapidly developing frontier. realized in recent experiments, pt-symmetric classical optical systems with balanced gain and loss hold great promise for future applications. here we report the experimental realization of passive pt-symmetric quantum d...
observation of topological edge states in parity-time-symmetric quantum walks
this monograph describes the new quantum theory called the weakest bound electron theory (wbe theory) proposed by prof. neng-wu zheng and its applications. it starts with the fundamentals of quantum mechanics and then illustrates the key points of wbe theory and the mathematical expressions of wbe theory. finally, it p...
weakest bound electron theory and applications
starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. in contrast, local projective measurements disentangle degrees of freedom and decrease entanglement. we study the interplay of these competing tendencies by considering time evolutio...
unitary-projective entanglement dynamics
tests of quantum mechanics on a macroscopic scale require extreme control over mechanical motion and its decoherence1-3. quantum control of mechanical motion has been achieved by engineering the radiation-pressure coupling between a micromechanical oscillator and the electromagnetic field in a resonator4-7. furthermore...
quantum control of a nanoparticle optically levitated in cryogenic free space
we study the scrambling of local quantum information in chaotic many-body systems in the presence of a locally conserved quantity like charge or energy that moves diffusively. the interplay between conservation laws and scrambling sheds light on the mechanism by which unitary quantum dynamics, which is reversible, give...
operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
the theory of open quantum systems is one of the most essential tools for the development of quantum technologies. furthermore, the lindblad (or gorini-kossakowski-sudarshan-lindblad) master equation plays a key role as it is the most general generator of markovian dynamics in quantum systems. in this paper, we present...
a short introduction to the lindblad master equation
developments in the thermodynamics of small quantum systems envisage nonclassical thermal machines. in this scenario, energy fluctuations play a relevant role in the description of irreversibility. we experimentally implement a quantum heat engine based on a spin-1 /2 system and nuclear magnetic resonance techniques. i...
experimental characterization of a spin quantum heat engine
according to quantum mechanics, a harmonic oscillator can never be completely at rest. even in the ground state, its position will always have fluctuations, called the zero-point motion. although the zero-point fluctuations are unavoidable, they can be manipulated. using microwave frequency radiation pressure, we have ...
quantum squeezing of motion in a mechanical resonator
photons have been a flagship system for studying quantum mechanics, advancing quantum information science, and developing quantum technologies. quantum entanglement, teleportation, quantum key distribution, and early quantum computing demonstrations were pioneered in this technology because photons represent a naturall...
photonic quantum information processing: a concise review
we analyze the quantum trajectory dynamics of free fermions subject to continuous monitoring. for weak monitoring, we identify a novel dynamical regime of subextensive entanglement growth, reminiscent of a critical phase with an emergent conformal invariance. for strong monitoring, however, the dynamics favors a transi...
entanglement transition in a monitored free-fermion chain: from extended criticality to area law
random walk is a fundamental concept with applications ranging from quantum physics to econometrics. remarkably, one specific model of random walks appears to be ubiquitous across many fields as a tool to analyze transport phenomena in which the dispersal process is faster than dictated by brownian diffusion. the lévy-...
lévy walks
learning from data has led to paradigm shifts in a multitude of disciplines, including web, text and image search, speech recognition, as well as bioinformatics. can machine learning enable similar breakthroughs in understanding quantum many-body systems? here we develop an efficient deep learning approach that enables...
quantum-chemical insights from deep tensor neural networks
we review the dynamics after quantum quenches in integrable quantum spin chains. we give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (generalized) gibbs ensembles. we then turn to general features in the time evolution of local observables aft...
quench dynamics and relaxation in isolated integrable quantum spin chains
one of the most widely known building blocks of modern physics is heisenberg’s indeterminacy principle. among the different statements of this fundamental property of the full quantum mechanical nature of physical reality, the uncertainty relation for energy and time has a special place. its interpretation and its cons...
quantum speed limits: from heisenberg’s uncertainty principle to optimal quantum control
recent realization of a kinetically constrained chain of rydberg atoms by bernien et al., [nature (london) 551, 579 (2017), 10.1038/nature24622] resulted in the observation of unusual revivals in the many-body quantum dynamics. in our previous work [c. j. turner et al., nat. phys. 14, 745 (2018), 10.1038/s41567-018-013...
quantum scarred eigenstates in a rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations