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The real-time dynamics of equal-site correlation functions is studied for one-dimensional spin models with quenched disorder. Focusing on infinite temperature, we present a comparison between the dynamics of models with different quantum…

Statistical Mechanics · Physics 2020-02-07 Jonas Richter , Dennis Schubert , Robin Steinigeweg

The random-field spin-1/2 XXZ chains, and the corresponding Anderson insulators of spinless fermions with density-density interaction, have been intensively studied in the context of many-body localization. However, we recently argued [B.…

Statistical Mechanics · Physics 2023-08-08 B. Krajewski , L. Vidmar , J. Bonca , M. Mierzejewski

Many-body localization in a disordered system of interacting spins coupled by the long-range interaction $1/R^{\alpha}$ is investigated combining analytical theory considering resonant interactions and a finite size scaling of exact…

Disordered Systems and Neural Networks · Physics 2015-03-03 Alexander L. Burin

In the presence of strong disorder and weak interactions, closed quantum systems can enter a many-body localized phase where the system does not conduct, does not equilibrate even for arbitrarily long times, and robustly violates quantum…

Disordered Systems and Neural Networks · Physics 2017-01-23 Katharine Hyatt , James R. Garrison , Andrew C. Potter , Bela Bauer

We numerically investigate the growth of the entanglement entropy S_{ent}(t) in time t---after a global quench from a product state---in quantum chains with various kinds of disorder. The main focus is, in particular, on fermionic chains…

Strongly Correlated Electrons · Physics 2016-05-30 Y. Zhao , F. Andraschko , J. Sirker

We study many-body localization (MBL) in a pair-hopping model exhibiting strong fragmentation of the Hilbert space. We show that several Krylov subspaces have both ergodic statistics in the thermodynamic limit and a dimension that scales…

Disordered Systems and Neural Networks · Physics 2021-04-28 Loïc Herviou , Jens H. Bardarson , N. Regnault

We study the entanglement in momentum space of the ground state of a disordered one-dimensional fermion lattice model with attractive interaction. We observe two components in the entanglement spectrum, one of which is related to…

Disordered Systems and Neural Networks · Physics 2017-12-05 Bing-Tian Ye , Zhao-Yu Han , Liang-Zhu Mu , Heng Fan

The disordered XXZ model is a prototype model of the many-body localization transition (MBL). Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due severe…

Disordered Systems and Neural Networks · Physics 2020-05-22 David J. Luitz , Ivan M. Khaymovich , Yevgeny Bar Lev

It is widely believed that many-body localisation in one dimension is fragile and can be easily destroyed by thermal inclusions, however there are still many open questions regarding the stability of the localised phase and under what…

Disordered Systems and Neural Networks · Physics 2023-03-30 S. J. Thomson

We report on measurements of quantum many-body modes in ballistic wires and their dependence on Coulomb interactions, obtained from tunneling between two parallel wires in a GaAs/AlGaAs heterostructure while varying electron density. We…

Strongly Correlated Electrons · Physics 2007-05-23 O. M. Auslaender , H. Steinberg , A. Yacoby , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions. Studying the impacts of average energies of initial product states on dynamics of the system, we provide arguments in favor…

Disordered Systems and Neural Networks · Physics 2020-10-13 Titas Chanda , Piotr Sierant , Jakub Zakrzewski

While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent…

Disordered Systems and Neural Networks · Physics 2024-05-13 Joey Li , Amos Chan , Thorsten B. Wahl

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

Disordered Systems and Neural Networks · Physics 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

We study the relationship between bipartite entanglement, subsystem particle number and topology in a half-filled free fermion system. It is proposed that the spin-projected particle numbers can distinguish the quantum spin Hall state from…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 Y. F. Zhang , L. Sheng , R. Shen , Rui Wang , D. Y. Xing

We consider a two dimensional itinerant SYK model of spin-less fermions, with a linear dispersion, interacting via random long range all-to-all interactions. In the large-N limit, we find an asymptotic power series solution of the…

Strongly Correlated Electrons · Physics 2019-03-05 T. Tzen Ong

Localization is one of the most fundamental interference phenomena caused by randomness, and its universal aspects have been extensively explored from the perspective of one-parameter scaling mainly for static properties. We numerically…

Quantum Gases · Physics 2021-09-01 Kazuya Fujimoto , Ryusuke Hamazaki , Yuki Kawaguchi

We discuss the onset of many body localisation in a one-dimensional system composed of a XXZ quantum spin chain and a Bose-Hubbard model linearly coupled together. We consider two complementary setups depending whether spatial disorder is…

Disordered Systems and Neural Networks · Physics 2018-02-21 J. Marino , R. M. Nandkishore

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions or long-range hopping. Based on perturbative arguments there is a…

Disordered Systems and Neural Networks · Physics 2019-06-14 Sabyasachi Nag , Arti Garg

Localization due to the presence of disorder has proven crucial for our current understanding of relaxation in isolated quantum systems. The many-body localized phase constitutes a robust alternative to the thermalization of complex…

Strongly Correlated Electrons · Physics 2020-10-21 Irene Papaefstathiou , Adam Smith , Johannes Knolle
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