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We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. We consider a general family of disorder models, parameterized by how strong the…

Disordered Systems and Neural Networks · Physics 2022-10-18 Zhengyan Darius Shi , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

We show that a simple artificial neural network trained on entanglement spectra of individual states of a many-body quantum system can be used to determine the transition between a many-body localized and a thermalizing regime.…

Disordered Systems and Neural Networks · Physics 2017-07-04 Frank Schindler , Nicolas Regnault , Titus Neupert

The principles of ergodicity and thermalization constitute the foundation of statistical mechanics, positing that a many-body system progressively loses its local information as it evolves. Nevertheless, these principles can be disrupted…

Quantum Physics · Physics 2024-01-09 M. G. Sousa , Rafael F. P. Costa , G. D. de Moraes Neto , E. Vernek

We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

Disordered Systems and Neural Networks · Physics 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

Due to the presence of phonons, many body localization (MBL) does not occur in disordered solids, even if disorder is strong. Local conservation laws characterizing an underlying MBL phase decay due to the coupling to phonons. Here we show…

Strongly Correlated Electrons · Physics 2019-01-02 Zala Lenarčič , Ehud Altman , Achim Rosch

One fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. Recently, the emergence of many-body localized systems has questioned this concept, challenging our…

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

We demonstrate many-body localization (MBL) transition in a one-dimensional isotropic XY chain with a weak next-nearest-neighbor frustration in a random magnetic field. We perform finite-size exact diagonalization calculations of…

Disordered Systems and Neural Networks · Physics 2022-08-17 M. S. Bahovadinov , D. V. Kurlov , S. I. Matveenko , B. L. Altshuler , G. V. Shlyapnikov

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

We study the ergodic side of the many-body localization transition in its standard model, the disordered Heisenberg quantum spin chain. We show that the Thouless energy, extracted from long-range spectral statistics and the power-spectrum…

Statistical Mechanics · Physics 2020-07-02 Ángel L. Corps , Rafael A. Molina , Armando Relaño

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

Many-body localized (MBL) systems are known to thermalize in periodically driven systems. In this work, we demonstrate that under proper driving protocol, this thermalization this thermalization can be resisted such that the MBL phase turns…

Disordered Systems and Neural Networks · Physics 2026-05-08 Biswajit Paul , Nilanjan Roy , Tapan Mishra

The many-body localization transition is a dynamical quantum phase transition between a localized and an extended phase. We study this transition in the XXZ model with disordered magnetic field and focus on the time evolution following a…

Disordered Systems and Neural Networks · Physics 2016-02-24 Rajeev Singh , Jens H. Bardarson , Frank Pollmann

Recent numerical and experimental works have revealed a disorder-free many-body localization (MBL) in an interacting system subjecting to a linear potential, known as the Stark MBL. The conventional MBL, induced by disorder, has been widely…

Quantum Physics · Physics 2023-02-10 Yong-Yi Wang , Zheng-Hang Sun , Heng Fan

Disorder and localization have dramatic influence on the topological properties of a quantum system. While strong disorder can close the band gap thus depriving topological materials of topological features, disorder may also induce…

Quantum Gases · Physics 2021-09-17 Teng Xiao , Dizhou Xie , Zhaoli Dong , Tao Chen , Wei Yi , Bo Yan

Many body localization (MBL) is a phenomena that allows for the preservation of quantum information for long times. We study a variation of the disordered-Heisenberg model, which is known to exhibit an MBL phase [5][6], known as the…

Quantum Physics · Physics 2019-11-27 Nicholas Carrillo

In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times even weak couplings to any thermal environment will necessarily thermalize the…

In this paper, we study periodically modulated $s=1/2$ spin chain in a linear gradient potential (LP) that is generated by an external magnetic field. In the absence of the LP, the system has topological states that exhibit a magnetization…

Strongly Correlated Electrons · Physics 2019-12-11 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

The absence of thermalization in certain isolated many-body systems is of great fundamental interest. Many-body localization (MBL) is a widely studied mechanism for thermalization to fail in strongly disordered quantum systems, but it is…

Disordered Systems and Neural Networks · Physics 2023-11-07 L. J. Stanley , Ping V. Lin , J. Jaroszyński , Dragana Popović

Considering ultracold atoms in optical lattices, we propose experimental protocols to study many-body localization (MBL) length and criticality in quench dynamics. Through numerical simulations with exact diagonalization, we show that in…

Strongly Correlated Electrons · Physics 2018-03-30 Xuefei Guo , Xiaopeng Li