[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 …

Recent progress in many‐body localization

DA Abanin, Z Papić - Annalen der Physik, 2017‏ - Wiley Online Library
This article is a brief introduction to the rapidly evolving field of many‐body localization.
Rather than giving an in‐depth review of the subject, our aspiration here is simply to …

Weak ergodicity breaking from quantum many-body scars

CJ Turner, AA Michailidis, DA Abanin, M Serbyn… - Nature Physics, 2018‏ - nature.com
The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

Disorder-free localization

A Smith, J Knolle, DL Kovrizhin, R Moessner - Physical review letters, 2017‏ - APS
The venerable phenomena of Anderson localization, along with the much more recent many-
body localization, both depend crucially on the presence of disorder. The latter enters either …

-pairing states as true scars in an extended Hubbard model

DK Mark, OI Motrunich - Physical Review B, 2020‏ - APS
The η-pairing states are a set of exactly known eigenstates of the Hubbard model on
hypercubic lattices, first discovered by Yang [CN Yang, Phys. Rev. Lett. 63, 2144 (1989) …

The ergodic side of the many‐body localization transition

DJ Luitz, YB Lev - Annalen der Physik, 2017‏ - Wiley Online Library
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Absence of ergodicity without quenched disorder: From quantum disentangled liquids to many-body localization

A Smith, J Knolle, R Moessner, DL Kovrizhin - Physical Review Letters, 2017‏ - APS
We study the time evolution after a quantum quench in a family of models whose degrees of
freedom are fermions coupled to spins, where quenched disorder appears neither in the …

Clean Floquet time crystals: models and realizations in cold atoms

B Huang, YH Wu, WV Liu - Physical review letters, 2018‏ - APS
Time crystals, a phase showing spontaneous breaking of time-translation symmetry, has
been an intriguing subject for systems far away from equilibrium. Recent experiments found …

Operationally accessible entanglement of one-dimensional spinless fermions

H Barghathi, E Casiano-Diaz, A Del Maestro - Physical Review A, 2019‏ - APS
For indistinguishable itinerant particles subject to a superselection rule fixing their total
number, a portion of the entanglement entropy under a spatial bipartition of the ground state …

Exact localized and ballistic eigenstates in disordered chaotic spin ladders and the Fermi-Hubbard model

T Iadecola, M Žnidarič - Physical Review Letters, 2019‏ - APS
We demonstrate the existence of exact atypical many-body eigenstates in a class of
disordered, interacting one-dimensional quantum systems that includes the Fermi-Hubbard …