Quantum Many-Body Physics & Simulation
Thermalization and its breakdown, many-body localization, quantum scars, discrete time crystals and analog quantum simulators.
Most influential
- Many body localization and thermalization in quantum statistical mechanics
We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the `Eigenstate Thermalization Hypothesis' (ETH), and the resulting `single-eigenstate statistical mechanics'. We then focus on a class of systems which fail to quantum thermali…
Review2,493 citationsarXiv:1404.0686doi:10.1146/annurev-conmatphys-031214-… - Many-body localization, thermalization, and entanglement
Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in strongly disordered systems. Many-body localized (MBL) systems remain perfect insulators at non-zero temperature, which do …
Article1,828 citationsarXiv:1804.11065doi:10.1103/revmodphys.91.021001 - Observation of many-body localization of interacting fermions in a quasirandom optical lattice
We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge density wave. For sufficiently weak disorder the time evolution appears ergodic and thermalizing, erasing all remnants of …
Article1,728 citationsarXiv:1501.05661doi:10.1126/science.aaa7432 - Many-body localization phase transition
We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, "ergodic" pha…
Article1,499 citationsarXiv:1010.1992doi:10.1103/physrevb.82.174411 - Quantum many-body systems out of equilibrium
Closed quantum many-body systems out of equilibrium pose several long-standing problems in physics. Recent years have seen a tremendous progress in approaching these questions, not least due to experiments with cold atoms and trapped ions in instances of quantum simulations. This article provides an overview on the progress in understanding dynamical equilib…
Article1,255 citationsarXiv:1408.5148doi:10.1038/nphys3215 - Measuring entanglement entropy in a quantum many-body system
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 rapidly gaining prominence in diverse fields ranging from condensed matter to quantum gravity. Despite this generality, measuring entanglement remains chall…
Article1,168 citationsarXiv:1509.01160doi:10.1038/nature15750 - Observation of a discrete time crystal
Spontaneous symmetry breaking is a fundamental concept in many areas of physics, ranging from cosmology and particle physics to condensed matter. A prime example is the breaking of spatial translation symmetry, which underlies the formation of crystals and the phase transition from liquid to solid. Analogous to crystals in space, the breaking of translation …
Article1,142 citationsarXiv:1609.08684doi:10.1038/nature21413 - Unbounded Growth of Entanglement in Models of Many-Body Localization
An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of interacting spinless fermions in one dimension described by the random-field XXZ Hamiltonian. Interactions induce a dram…
Article1,057 citationsarXiv:1202.5532doi:10.1103/physrevlett.109.017202 - Many-body localization edge in the random-field Heisenberg chain
We present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to $L=22$ spins, we use a spectral transformation which can be applied in a massively parallel fashion. Our results allow f…
Article1,026 citationsarXiv:1411.0660doi:10.1103/physrevb.91.081103 - Weak ergodicity breaking from quantum many-body scars
Certain wave functions of non-interacting quantum chaotic systems can exhibit "scars" in the fabric of their real-space density profile. Quantum scarred wave functions concentrate in the vicinity of unstable periodic classical trajectories. We introduce the notion of many-body quantum scars which reflect the existence of a subset of special many-body eigenst…
Article995 citationsarXiv:1711.03528doi:10.1038/s41567-018-0137-5 - Exploring the many-body localization transition in two dimensions
One 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, challenging our understanding of the connection between statistical physics and quantum mechanics. Here we report on the observation of a ma…
Article979 citationsarXiv:1604.04178doi:10.1126/science.aaf8834 - Floquet Time Crystals
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.
Article973 citationsarXiv:1603.08001doi:10.1103/physrevlett.117.090402 - Quantum Many-Body Scars and Weak Breaking of Ergodicity
Recent discovery of persistent revivals in quantum simulators based on Rydberg atoms have pointed to the existence of a new type of dynamical behavior that challenged the conventional paradigms of integrability and thermalization. This novel collective effect has been named quantum many-body scars by analogy with weak ergodicity breaking of a single particle…
Article541 citationsarXiv:2011.09486doi:10.1038/s41567-021-01230-2 - Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
The presence of long-range quantum spin correlations underlies a variety of physical phenomena in condensed matter systems, potentially including high-temperature superconductivity. However, many properties of exotic strongly correlated spin systems (e.g., spin liquids) have proved difficult to study, in part because calculations involving N-body entanglemen…
Article941 citationsarXiv:1204.5789doi:10.1038/nature10981 - Phenomenology of fully many-body-localized systems
We consider isolated quantum systems with all of their many-body eigenstates localized. We define a sense in which such systems are integrable, and discuss a method for finding their localized conserved quantum numbers ("constants of motion"). These localized operators are interacting pseudospins and are subject to dephasing but not to dissipation, so any qu…
Article939 citationsarXiv:1305.4915doi:10.1103/physrevb.90.174202
Newest work
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- Digital-Analog Quantum Neural Network with Long-Range InteractionsPreprintarXiv:2610.39847
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- Rapid mixing for Gibbs samplers for quantum spin systems with all-to-all interactionsPreprintarXiv:2610.40361
- Using domain walls to benchmark fast quantum annealsPreprintarXiv:2610.40504