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When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with…

Disordered Systems and Neural Networks · Physics 2019-05-29 Marcel Goihl , Jens Eisert , Christian Krumnow

Quantum many-body scars (QMBS) are exceptional energy eigenstates of quantum many-body systems associated with violations of thermalization for special non-equilibrium initial states. Their various systematic constructions require…

Strongly Correlated Electrons · Physics 2025-02-20 Alessio Lerose , Tommaso Parolini , Rosario Fazio , Dmitry A. Abanin , Silvia Pappalardi

Many-body localization (MBL) provides a mechanism to avoid thermalization in many-body quantum systems. Here, we show that an {\it emergent} symmetry can protect a state from MBL. Specifically, we propose a $\Z_2$ symmetric model with…

Disordered Systems and Neural Networks · Physics 2020-12-15 N. S. Srivatsa , Roderich Moessner , Anne E. B. Nielsen

We numerically explore $\mathbb Z_2$-symmetric random interacting Ising-Majorana chains at high energy. A very rich phase diagram emerges with two topologically distinct many-body localization (MBL) regimes separated by a much broader…

Disordered Systems and Neural Networks · Physics 2022-08-05 Nicolas Laflorencie , Gabriel Lemarié , Nicolas Macé

We demonstrate that the dynamics of quantum coherence serves as an effective probe for identifying dephasing, which is a distinctive signature of many-body localization (MBL). Quantum coherence can be utilized to measure both the local…

Quantum Physics · Physics 2024-09-19 Jin-Jun Chen , Kai Xu , Li-Hang Ren , Yu-Ran Zhang , Heng Fan

In this work, the interplay between non-Hermiticity, quasi-disorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where non-Hermiticity is induced by the non-reciprocal hoppings…

Disordered Systems and Neural Networks · Physics 2024-04-29 Shujie Cheng , Xixi Feng , Wen Chen , Niaz Ali Khan , Gao Xianlong

Many-body localized (MBL) systems are often described using their local integrals of motion, which, for spin systems, are commonly assumed to be a local unitary transform of the set of on-site spin-z operators. We show that this assumption…

Disordered Systems and Neural Networks · Physics 2020-07-27 Thorsten B. Wahl , Benjamin Béri

We study the non-equilibrium phase structure of the three-state random quantum Potts model in one dimension. This spin chain is characterized by a non-Abelian $D_3$ symmetry recently argued to be incompatible with the existence of a…

Disordered Systems and Neural Networks · Physics 2018-09-05 Aaron J. Friedman , Romain Vasseur , Andrew C. Potter , S. A. Parameswaran

Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by rare regions of weak disorder. To examine…

Disordered Systems and Neural Networks · Physics 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet operator (evolution operator over one driving period) can be…

Disordered Systems and Neural Networks · Physics 2017-01-30 Dmitry Abanin , Wojciech De Roeck , François Huveneers

Investigating many-body localization (MBL) using exact numerical methods is limited by the exponentialgrowth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the…

Disordered Systems and Neural Networks · Physics 2022-01-13 Francesca Pietracaprina , Nicolas Laflorencie

We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and localized phases and discuss thermalization…

Quantum Gases · Physics 2015-12-18 Rubem Mondaini , Marcos Rigol

We present an introductory review of nonergodic dynamics in interacting many-body quantum systems, focusing on the phenomenon of many-body localization (MBL). We describe aspects of MBL and summarize the evidence for a crossover from the…

Quantum Physics · Physics 2026-04-15 Jakub Zakrzewski

Phase transitions are driven by collective fluctuations of a system's constituents that emerge at a critical point. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behavior is…

Despite a very good understanding of single-particle Anderson localization in one-dimensional (1D) disordered systems, many-body effects are still full of surprises, a famous example being the interaction-driven many-body localization (MBL)…

Disordered Systems and Neural Networks · Physics 2023-11-14 Jeanne Colbois , Nicolas Laflorencie

We investigate the ergodicity-to-localization transition in interacting fermion systems subjected to a spatially uniform electric field. For that we employ the recently proposed Tensorflow Equations (TFE), a type of continuous unitary flow…

Disordered Systems and Neural Networks · Physics 2025-07-16 Jan-Niklas Herre , Qiyu Liu , Roman Rausch , Christoph Karrasch , Dante M. Kennes

Motivated by the question of whether disorder is a prerequisite for localization to occur in quantum many-body systems, we study a frustrated one-dimensional spin chain, which supports localized many-body eigenstates in the absence of…

Quantum Gases · Physics 2018-07-17 Sayan Choudhury , Eun-ah Kim , Qi Zhou

Persistent oscillatory dynamics in non-equilibrium many-body systems is a tantalizing manifestation of ergodicity breakdown that continues to attract much attention. Recent works have focused on two classes of such systems: discrete time…

Strongly Correlated Electrons · Physics 2022-10-12 Kieran Bull , Andrew Hallam , Zlatko Papić , Ivar Martin

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

We numerically explore the many body localization (MBL) transition through the lens of the {\it entanglement spectrum}. While a direct transition from localization to thermalization is believed to obtain in the thermodynamic limit (the…

Disordered Systems and Neural Networks · Physics 2017-11-17 Scott D. Geraedts , Nicolas Regnault , Rahul M. Nandkishore