Many-body localization in a quasiperiodic system

  title={Many-body localization in a quasiperiodic system},
  author={Shankar Iyer and Vadim Oganesyan and Gil Refael and David A. Huse},
  journal={Physical Review B},
Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy localization, leading to a so-called many-body localization transition. This dynamical phase transition is relevant to questions of thermalization in extended quantum systems far from the zero-temperature limit. It separates a many-body localized phase, in which… 
Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems.
This work experimentally and numerically investigates the regime close to the many-body localization transition in quasiperiodic systems and finds slow relaxation of the density imbalanceclose to the transition, strikingly similar to the behavior near the transition in true-random systems.
Quantum order, entanglement and localization in many-body systems
The interplay of disorder and interactions can have remarkable effects on the physics of quantum systems. A striking example is provided by the long conjectured—and recently confirmed—phenomenon of
From Bloch oscillations to many-body localization in clean interacting systems
It is demonstrated that nonrandom mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder, and a class of generic nonrandom models that fail to thermalize are constituted, which suggest new directions for experimentally exploring and understanding the phenomena of many- body localization.
Observation of Stark many-body localization without disorder.
The results demonstrate the unexpected generality of MBL, with implications about the fundamental requirements for thermalization and with potential uses in engineering long-lived non-equilibrium quantum matter.
Dynamical localization and many-body localization in periodically kicked quasiperiodic lattices
We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-André model. In the non-interacting limit, by analyzing the quasienergy spectrum
Many-Body Localization and Quantum Nonergodicity in a Model with a Single-Particle Mobility Edge.
It is established that the model possesses an infinite temperature many-body localization transition despite the existence of a single-particle mobility edge and proposes a practical scheme to test the predictions in atomic optical lattice experiments which can directly probe the effects of the mobility edge.
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
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
This experiment experimentally observed this nonergodic evolution for interacting fermions in a one-dimensional quasirandom optical lattice and identified the MBL transition through the relaxation dynamics of an initially prepared charge density wave.
Many-body localization, symmetry and topology.
This work explores how the interplay of symmetry and dimensionality with many-body localization constrains its role in stabilizing topological phases out of equilibrium.
Detecting a many-body mobility edge with quantum quenches
The many-body localization (MBL) transition is a quantum phase transition involving highly excited eigenstates of a disordered quantum many-body Hamiltonian, which evolve from "extended/ergodic"


Quantum Phase Transitions
Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as
Conductor Insulator Quantum Phase Transitions
PART I: METAL-INSULATOR TRANSITIONS 1. Introduction to Metal-Insulator Transitions 2. Anderson Localisation 3. Visualizing Critical Correlations near the Metal-Insulator Transition in Ga1??xMnxAs 4.
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Both the many-body ergodic and localized phases differ
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