[HTML][HTML] Many-body localization: An introduction and selected topics

F Alet, N Laflorencie - Comptes Rendus Physique, 2018 - Elsevier
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 …

Local integrals of motion in many‐body localized systems

JZ Imbrie, V Ros, A Scardicchio - Annalen der Physik, 2017 - Wiley Online Library
We review the current (as of Fall 2016) status of the studies on the emergent integrability in
many‐body localized models. We start by explaining how the phenomenology of fully many …

What is the computational value of finite-range tunneling?

VS Denchev, S Boixo, SV Isakov, N Ding, R Babbush… - Physical Review X, 2016 - APS
Quantum annealing (QA) has been proposed as a quantum enhanced optimization heuristic
exploiting tunneling. Here, we demonstrate how finite-range tunneling can provide …

Rare‐region effects and dynamics near the many‐body localization transition

K Agarwal, E Altman, E Demler… - Annalen der …, 2017 - Wiley Online Library
The low‐frequency response of systems near the many‐body localization phase transition,
on either side of the transition, is dominated by contributions from rare regions that are …

Rare thermal bubbles at the many-body localization transition from the Fock space point of view

G De Tomasi, IM Khaymovich, F Pollmann, S Warzel - Physical Review B, 2021 - APS
In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

Many-body flatband localization

C Danieli, A Andreanov, S Flach - Physical Review B, 2020 - APS
We generate translationally invariant systems exhibiting many-body localization from all-
bands-flat single-particle lattice Hamiltonians dressed with suitable short-range many-body …

Many-body localization transition in Hilbert space

M Tarzia - Physical Review B, 2020 - APS
In this paper we propose a new perspective to analyze the many-body localization (MBL)
transition when recast in terms of a single-particle tight-binding model in the space of many …

Fock-space anatomy of eigenstates across the many-body localization transition

S Roy, DE Logan - Physical Review B, 2021 - APS
We explore the Fock-space structure of eigenstates across the many-body localization
(MBL) transition in a disordered, interacting quantum spin-1 2 chain. Eigenstate expectation …

Many-body localization beyond eigenstates in all dimensions

A Chandran, A Pal, CR Laumann, A Scardicchio - Physical Review B, 2016 - APS
Isolated quantum systems with quenched randomness exhibit many-body localization
(MBL), wherein they do not reach local thermal equilibrium even when highly excited above …

Role of Fock-space correlations in many-body localization

T Scoquart, IV Gornyi, AD Mirlin - Physical Review B, 2024 - APS
Models of many-body localization (MBL) can be represented as tight-binding models in the
many-body Hilbert space (Fock space). We explore the role of correlations between matrix …