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Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this…

Strongly Correlated Electrons · Physics 2018-03-14 Peter Prelovšek , Osor S. Barišić , Marcin Mierzejewski

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 study the effects of dephasing noise on a prototypical many-body localized system -- the XXZ spin 1/2 chain with a disordered magnetic field. At times longer than the inverse dephasing strength the dynamics of the system is described by…

Strongly Correlated Electrons · Physics 2016-04-12 Mariya V. Medvedyeva , Tomaz Prosen , Marko Znidaric

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

In a fast scrambling many-body quantum system, information is spread and entanglement is built up on a timescale that grows logarithmically with the system size. This is of fundamental interest in understanding the dynamics of many-body…

Quantum Physics · Physics 2023-09-07 Sridevi Kuriyattil , Tomohiro Hashizume , Gregory Bentsen , Andrew J. Daley

We show that many-body localization (MBL) effects can be observed in a finite chain of exchange-coupled spin qubits in the presence of both exchange and magnetic noise, a system that has been experimentally realized in semiconductors and is…

Mesoscale and Nanoscale Physics · Physics 2021-05-03 Robert E. Throckmorton , S. Das Sarma

In presence of strong enough disorder one dimensional systems of interacting spinless fermions at non-zero filling factor are known to be in a many body localized phase. When represented in Fock space, the Hamiltonian of such a system looks…

Disordered Systems and Neural Networks · Physics 2019-05-01 Soumi Ghosh , Atithi Acharya , Subhayan Sahu , Subroto Mukerjee

We study many-body localization (MBL) transition in disordered Floquet systems using a polynomially filtered exact diagonalization (POLFED) algorithm. We focus on disordered kicked Ising model and quantitatively demonstrate that finite size…

Disordered Systems and Neural Networks · Physics 2023-08-17 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Jakub Zakrzewski

In this work we demonstrate that non-random mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder. In particular, we consider interacting spins and fermions in the…

Disordered Systems and Neural Networks · Physics 2019-04-26 Evert P. L. van Nieuwenburg , Yuval Baum , Gil Refael

We analyze the finite-size scaling of the average gap-ratio and the entanglement entropy across the many-body localization (MBL) transition in one dimensional Heisenberg spin-chain with quasi-periodic (QP) potential. By using the recently…

Disordered Systems and Neural Networks · Physics 2021-12-10 Adith Sai Aramthottil , Titas Chanda , Piotr Sierant , Jakub Zakrzewski

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of…

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

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

Recent numerical works have revealed the instability of many-body localized (MBL) phase in disordered quantum many-body systems with finite system sizes and over finite timescales. This instability arises from Griffith regions that occur at…

Disordered Systems and Neural Networks · Physics 2025-01-13 Lv Zhang , Kai Xu , Heng Fan

We provide a systematic comparison of the many-body localization transition in spin chains with nonrandom quasiperiodic vs. random fields. We find evidence that these belong to two separate universality classes: one dominated by "intrinsic"…

Disordered Systems and Neural Networks · Physics 2017-08-22 Vedika Khemani , D. N. Sheng , David A. Huse

The presence of frozen uncorrelated random on-site potential in interacting quantum systems can induce a transition from an ergodic phase to a localized one, the so-called many-body localization. Here we numerically study the effects of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Isaías Vallejo-Fabila , E. Jonathan Torres-Herrera

Some interacting disordered many-body systems are unable to thermalize when the quenched disorder becomes larger than a threshold value. Although several properties of nonzero energy density eigenstates (in the middle of the many-body…

Disordered Systems and Neural Networks · Physics 2020-09-09 Abhisek Samanta , Kedar Damle , Rajdeep Sensarma

Power-law interactions play a key role in a large variety of physical systems. In the presence of disorder, these systems may undergo many-body localization for a sufficiently large disorder. Within the many-body localized phase the system…

Disordered Systems and Neural Networks · Physics 2020-07-08 Xiaolong Deng , Guido Masella , Guido Pupillo , Luis Santos

Motivated by recent debates around the many-body localization (MBL) problem, and in particular its stability against systemwide resonances, we investigate long-distance spin-spin correlations across the phase diagram of the random-field XXZ…

Disordered Systems and Neural Networks · Physics 2025-01-10 Jeanne Colbois , Fabien Alet , Nicolas Laflorencie

Dynamical localization is one of the most startling manifestations of quantum interference, where the evolution of a simple system is frozen out under a suitably tuned coherent periodic drive. Here, we show that, although any randomness in…

Statistical Mechanics · Physics 2015-03-17 Analabha Roy , Arnab Das
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