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We examine the interplay of interaction and disorder for a Heisenberg spin ladder system with random fields. We identify many-body localized states based on the entanglement entropy scaling, where delocalized and localized states have…

Strongly Correlated Electrons · Physics 2015-12-09 Elliott Baygan , S. P. Lim , D. N. Sheng

We study localization properties of continuously monitored dynamics and associated measurement-induced phase transitions in disordered quantum many-body systems on the basis of the quantum trajectory approach. By calculating the fidelity…

Statistical Mechanics · Physics 2023-06-09 Kazuki Yamamoto , Ryusuke Hamazaki

We review our results for the dynamics of isolated many-body quantum systems described by one-dimensional spin-1/2 models. We explain how the evolution of these systems depends on the initial state and the strength of the perturbation that…

Statistical Mechanics · Physics 2017-08-03 Lea F. Santos , E. Jonathan Torres-Herrera

Translationally invariant flatband Hamiltonians with interactions lead to a many-body localization transition. Our models are obtained from single particle lattices hosting a mix of flat and dispersive bands, and equipped with fine-tuned…

Statistical Mechanics · Physics 2022-02-09 Carlo Danieli , Alexei Andreanov , Sergej Flach

Using a numerically exact method we study the stability of dynamical localization to the addition of interactions in a periodically driven isolated quantum system which conserves only the total number of particles. We find that while even…

Strongly Correlated Electrons · Physics 2017-10-27 David J. Luitz , Yevgeny Bar Lev , Achilleas Lazarides

The presence of algebraically decaying long-range interactions may alter the critical as well as topological behaviour of a quantum many-body systems. However, when the interaction decays at a faster rate, the short-range behaviour is…

Statistical Mechanics · Physics 2019-12-05 Somnath Maity , Utso Bhattacharya , Amit Dutta

We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and many-body localized systems that fail to…

Strongly Correlated Electrons · Physics 2016-07-07 Romain Vasseur , Joel E. Moore

We study quantum quenches in two-dimensional lattice gauge theories with fermions coupled to dynamical $\mathbb{Z}_2$ gauge fields. Through the identification of an extensive set of conserved quantities, we propose a generic mechanism of…

Strongly Correlated Electrons · Physics 2018-06-26 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

Recent experimental and theoretical efforts have focused on the effect of dissipation on quantum many-body systems in their many-body localized (MBL) phase. While in the presence of dephasing noise such systems reach a unique ergodic state,…

Strongly Correlated Electrons · Physics 2017-02-01 Benjamin Everest , Igor Lesanovsky , Juan P. Garrahan , Emanuele Levi

We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium…

Statistical Mechanics · Physics 2019-05-20 Davide Rossini , Ettore Vicari

We study quantum oscillator lattice systems with disorder, in arbitrary dimension, requiring only partial localization of the associated effective one-particle Hamiltonian. This leads to a many-body localized regime of excited states with…

Mathematical Physics · Physics 2022-10-13 Houssam Abdul-Rahman , Robert Sims , Günter Stolz

The level dynamics across the many body localization transition is examined for XXZ-spin model with a random magnetic field. We compare different scenaria of parameter dependent motion in the system and consider measures such as level…

Disordered Systems and Neural Networks · Physics 2019-06-19 Artur Maksymov , Piotr Sierant , Jakub Zakrzewski

Recent years have seen an increasing interest in quantum chaos and related aspects of spatially extended systems, such as spin chains. However, the results are strongly system dependent, generic approaches suggest the presence of many-body…

Statistical Mechanics · Physics 2020-05-26 Petr Braun , Daniel Waltner , Maram Akila , Boris Gutkin , Thomas Guhr

We propose a spatio-temporal characterization of the entanglement dynamics in many-body localized (MBL) systems, which exhibits a striking resemblance with dynamical heterogeneity in classical glasses. Specifically, we find that the…

Disordered Systems and Neural Networks · Physics 2022-05-17 Claudia Artiaco , Federico Balducci , Markus Heyl , Angelo Russomanno , Antonello Scardicchio

Many-body localized phases retain memory of their initial conditions in disordered interacting systems with unitary dynamics. The stability of the localized phase due to the breakdown of unitarity is of relevance to experiment in the…

Disordered Systems and Neural Networks · Physics 2024-03-19 József Mák , M. J. Bhaseen , Arijeet Pal

We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.

Mathematical Physics · Physics 2017-08-23 Michael Aizenman , Simone Warzel

The dynamics of quantum systems strongly depends on the local structure of the Hamiltonian. For short-range interacting systems, the well-known Lieb-Robinson bound defines the effective light cone with an exponentially small error with…

Quantum Physics · Physics 2016-05-31 Tomotaka Kuwahara

Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imposed by gauge invariance. We show that also genuinely…

Strongly Correlated Electrons · Physics 2021-04-07 P. Karpov , R. Verdel , Y. -P. Huang , M. Schmitt , M. Heyl

In this work we investigate the stability of an algebraically localized phase subject to periodic driving. First, we focus on a non-interacting model exhibiting algebraically localized single-particle modes. For this model we find…

Disordered Systems and Neural Networks · Physics 2021-12-15 Heiko Burau , Markus Heyl , Giuseppe De Tomasi