Colloquium : Many-body localization, thermalization, and entanglement

: Many-body localization, thermalization, and entanglement},
  author={Dmitry A. Abanin and Ehud Altman and Immanuel Bloch and Maksym Serbyn},
  journal={Reviews of Modern Physics},
Thermalizing quantum systems are conventionallydescribed by statistical mechanics at equilib-rium. However, not all systems fall into this category, with many-body localization providinga generic mechanism for thermalization to fail in strongly disordered systems. Many-bodylocalized (MBL) systems remain perfect insulators at nonzero temperature, which do notthermalize and therefore cannot be describedusing statistical mechanics. This Colloquiumreviews recent theoretical and experimental… 
Escaping many-body localization in an exact eigenstate
Closed quantum systems typically follow the eigenstate thermalization hypothesis, but there are exceptions, such as many-body localized (MBL) systems and quantum many-body scars. Here, we present the
Dynamics and transport at the threshold of many-body localization
Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by
Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space
The relaxation of few-body quantum systems can strongly depend on the initial state when the system’s semiclassical phase space is mixed; i.e., regions of chaotic motion coexist with regular islands.
Weak ergodicity breaking through the lens of quantum entanglement
Recent studies of interacting systems of quantum spins, ultracold atoms and correlated fermions have shed a new light on how isolated many-body systems can avoid rapid equilibration to their thermal
Motif magnetism and quantum many-body scars
We generally expect quantum systems to thermalize and satisfy the eigenstate thermalization hypothesis (ETH), which states that finite energy density eigenstates are thermal. However, some systems,
Can quantum many-body systems behave as strongly chaotic, being completely integrable ?
We study the paradigmatic Lieb-Liniger (LL) model belonging to the class of integrable quantum many-body systems, by considering its statistical properties in the many-body Hilbert space. We
Signature of Many-Body Localization of Phonons in Strongly Disordered Superlattices.
This work provides momentum-resolved experimental evidence of phonon localization and proposes a theoretical model for the effective phonon Hamiltonian in disordered superlattices, showing that it can be mapped exactly to a disordered 1D Bose-Hubbard model with a known MBL phase.
Quench dynamics of quasi-periodic systems exhibiting Rabi oscillations of two-level integrals of motion
The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of
Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in
Topological pumping of a 1D dipolar gas into strongly correlated prethermal states
Cycling the contact interaction between dipolar dysprosium atoms creates a series of excited nonthermal quantum states that are an energy-space topological pump (caused by a quantum holonomy) and offers an unexplored topological pumping method to create a hierarchy of increasingly excited prethermal states.


Emulating Many-Body Localization with a Superconducting Quantum Processor.
An experiment fully emulating the MBL dynamics with a 10-qubit superconducting quantum processor, which represents a spin-1/2 XY model featuring programmable disorder and long-range spin-spin interactions, and provides essential signatures of MBL, such as the imbalance due to the initial nonequilibrium, the violation of eigenstate thermalization hypothesis, and the long-time logarithmic growth of entanglement entropy.
Thermal inclusions: how one spin can destroy a many-body localized phase
The results support the arguments that the MBL phase is unstable in systems with short-range interactions and quenched randomness in dimensions d that are high but finite.
Probing entanglement in a many-body–localized system
This work experimentally establishes many-body localization as a qualitatively distinct phenomenon from localization in noninteracting, disordered systems in a disordered Bose-Hubbard chain.
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
Quantum quenches in the many-body localized phase
Many-body localized (MBL) systems are characterized by the absence of transport and thermalization, and therefore cannot be described by conventional statistical mechanics. In this paper, using
Signatures of Many-Body Localization in a Controlled Open Quantum System
In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times, even weak couplings to any thermal
Many-body localization in a quantum simulator with programmable random disorder
Interacting quantum systems are expected to thermalize, but in some situations in the presence of disorder they can exist in localized states instead. This many-body localization is studied
Exploring the many-body localization transition in two dimensions
The observation of a many-body localization transition between thermal and localized phases for bosons in a two-dimensional disordered optical lattice is reported, highlighting the power of quantum simulation to solve problems that are currently inaccessible to classical computing techniques.
Spectral signatures of many-body localization of interacting photons
Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can
Phenomenology of fully many-body-localized systems
Initiative for the Theoretical Sciences, The Graduate Center, CUNY, New York, NY 10016, USA(Dated: August 20, 2014)We consider fully many-body localized systems, i.e. isolated quantum systems where