How a Small Quantum Bath Can Thermalize Long Localized Chains.
Reads0
Chats0
TLDR
A simple theory is presented that assumes a system to be locally ergodic unless the local relaxation time determined by Fermi's golden rule is larger than the inverse level spacing and predicts a critical value for the localization length that is perfectly consistent with the numerical calculations.Abstract:
Numerical simulations show that an imperfection as small as three units can destabilize the many-body localized phase of a one-dimensional chain.read more
Citations
More filters
Journal ArticleDOI
Colloquium: Many-body localization, thermalization, and entanglement
TL;DR: Theoretically, many-body localized (MBL) systems exhibit a new kind of robust integrability: an extensive set of quasilocal integrals of motion emerges, which provides an intuitive explanation of the breakdown of thermalization as mentioned in this paper.
Journal ArticleDOI
Many-body localization: An introduction and selected topics
Fabien Alet,Nicolas Laflorencie +1 more
TL;DR: In this article, the authors present a basic introduction to the topic of many-body localization, using the simple example of a quantum spin chain that allows us to illustrate several of the properties of this phase.
Journal ArticleDOI
Quantum chaos challenges many-body localization.
TL;DR: It is argued that the ergodicity breaking transition in interacting spin chains occurs when both time scales are of the same order, t_{Th}≈t_{H}, and g becomes a system-size independent constant, and carries certain analogies with the Anderson localization transition.
Journal Article
Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems
TL;DR: For weak interactions, the entanglement entropy grows as ξln(Vt/ℏ), where V is the interaction strength, and ξ is the single-particle localization length.
Journal ArticleDOI
Many-Body Delocalization as a Quantum Avalanche
TL;DR: A multiscale diagonalization scheme to study disordered one-dimensional chains, in particular, the transition between many-body localization and the ergodic phase, expected to be governed by resonant spots, shows that a few natural assumptions imply that the system is localized with probability one at criticality.
References
More filters
Journal ArticleDOI
Absence of Diffusion in Certain Random Lattices
TL;DR: In this article, a simple model for spin diffusion or conduction in the "impurity band" is presented, which involves transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites.
Journal ArticleDOI
Chaos and quantum thermalization
TL;DR: It is shown that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey Berry's conjecture, and argued that these results constitute a sound foundation for quantum statistical mechanics.
Journal ArticleDOI
Thermalization and its mechanism for generic isolated quantum systems
TL;DR: It is demonstrated that a generic isolated quantum many-body system does relax to a state well described by the standard statistical-mechanical prescription, and it is shown that time evolution itself plays a merely auxiliary role in relaxation, and that thermalization instead happens at the level of individual eigenstates, as first proposed by Deutsch and Srednicki.
Journal ArticleDOI
Quantum statistical mechanics in a closed system
TL;DR: A closed quantum-mechanical system with a large number of degrees of freedom does not necessarily give time averages in agreement with the microcanonical distribution, so by adding a finite but very small perturbation in the form of a random matrix, the results of quantum statistical mechanics are recovered.
Journal ArticleDOI
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Rahul Nandkishore,David A. Huse +1 more
TL;DR: In this paper, the authors provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics.
Related Papers (5)
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Rahul Nandkishore,David A. Huse +1 more