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The quantum kicked rotor is well-known to display dynamical localization in the non-interacting limit. In the interacting case, while the mean-field (Gross-Pitaevskii) approximation displays a destruction of dynamical localization, its fate…

Quantum Gases · Physics 2021-04-13 Radu Chicireanu , Adam Rançon

It is known that there are lattice models in which non-interacting particles get dynamically localized when periodic $\delta$-function kicks are applied with a particular strength. We use both numerical and analytical methods to study the…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Adhip Agarwala , Diptiman Sen

We construct a dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems. Multiple commuting and non-commuting symmetries can be created by means of a self-similar-in-time…

Statistical Mechanics · Physics 2020-09-29 Kartiek Agarwal , Ivar Martin

We present a family of Floquet circuits that can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good…

Statistical Mechanics · Physics 2024-04-02 Dominik Hahn , Luis Colmenarez

A recent experiment by P. Bordia et al. (Periodically Driving a Many Body Localized Quantum System, Nat Phys, Jan 2017) has demonstrated that periodically modulating the potential of a localised many-body quantum system described by the…

Quantum Physics · Physics 2018-07-31 Donato Romito , Carlos Lobo , Alessio Recati

The nature of the dynamical quantum phase transition between the many-body localized (MBL) phase and the thermal phase remains an open question, and one line of attack on this problem is to explore this transition numerically in finite-size…

Disordered Systems and Neural Networks · Physics 2016-12-21 Liangsheng Zhang , Vedika Khemani , David A. Huse

Many-body localization transition in a periodically driven quantum system is investigated using a solution of a matching Bethe lattice problem for Floquet states of a quantum random energy model with a generalization to more realistic…

Disordered Systems and Neural Networks · Physics 2017-02-07 Alexander L. Burin

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

Simulating nonequilibrium dynamics of quantum many-body systems is one of the most promising applications of quantum computers. However, a faithful digital quantum simulation of the Hamiltonian evolution is very challenging in the present…

Quantum Physics · Physics 2025-10-15 Tomoya Hayata , Kazuhiro Seki , Seiji Yunoki

We prove the existence of extensive many-body Hamiltonians with few-body interactions and a many-body mobility edge: all eigenstates below a nonzero energy density are localized in an exponentially small fraction of "energetically allowed…

Statistical Mechanics · Physics 2024-09-24 Chao Yin , Rahul Nandkishore , Andrew Lucas

Local integrals of motion play a central role in the understanding of many-body localization in many-body quantum systems in one dimension subject to a random external potential, but the question of how these local integrals of motion…

Disordered Systems and Neural Networks · Physics 2023-05-24 S. J. Thomson , M. Schiró

Integrable models form pillars of theoretical physics because they allow for full analytical understanding. Despite being rare, many realistic systems can be described by models that are close to integrable. Therefore, an important question…

Strongly Correlated Electrons · Physics 2018-05-03 Marko Znidaric , Marko Ljubotina

We investigate the fate of a many-body localized phase in a non-Hermitian quasiperiodic model of hardcore bosons subjected to periodic driving. While in general, the many-body localized system is known to thermalize with increasing driving…

Disordered Systems and Neural Networks · Physics 2025-09-19 Sanchayan Banerjee , Ayan Banerjee , Tapan Mishra , Flore K. Kunst

We investigate the possibility of Many-Body Localization in translation invariant Hamiltonian systems, which was recently brought up by several authors. A key feature of Many-Body Localized disordered systems is recovered, namely the fact…

Statistical Mechanics · Physics 2015-06-19 Wojciech De Roeck , Francois Huveneers

Many-body localization in an $XY$ model with a long-range interaction is investigated. We show that in the regime of a high strength of disordering compared to the interaction an off-resonant flip-flop spin-spin interaction (hopping)…

Disordered Systems and Neural Networks · Physics 2015-11-17 Alexander L. Burin

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…

We consider fully many-body localized systems, i.e. isolated quantum systems where all the many-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems are integrable, with localized conserved operators.…

Statistical Mechanics · Physics 2014-11-19 David A. Huse , Rahul Nandkishore , Vadim Oganesyan

We study a simple and tractable model of many-body localization. The main idea is to take a renormalization group perspective in which local entanglement is removed to reach a product state. The model is built from a random local unitary…

Disordered Systems and Neural Networks · Physics 2013-07-03 Brian Swingle

For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from a physically reasonable assumption that limits the amount of level attraction in the system. The construction uses a sequence…

Mathematical Physics · Physics 2016-07-08 John Z. Imbrie

We characterise and study dynamical localisation of a finite interacting quantum many-body system. We present explicit bounds on the disorder strength required for the onset of localisation of the dynamics of arbitrary ensemble of sites of…

Mathematical Physics · Physics 2014-02-07 P. -L. Giscard , Z. Choo , M. T. Mitchison , J. J. Mendoza-Arenas , D. Jaksch