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An interacting quantum system can transition from an ergodic to a many-body localized (MBL) phase under the presence of sufficiently large disorder. Both phases are radically different in their dynamical properties, which are characterized…

无序系统与神经网络 · 物理学 2020-05-29 Benjamin Villalonga , Bryan K. Clark

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

无序系统与神经网络 · 物理学 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external laser field with long range interactions…

无序系统与神经网络 · 物理学 2022-02-28 Titas Chanda , Jakub Zakrzewski

Due to a phenomenon of many-body localization (MBL), the strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems. A sufficiently deep quasiperiodic potential may also inhibit…

无序系统与神经网络 · 物理学 2025-01-14 Pedro R. Nicácio Falcão , Adith Sai Aramthottil , Piotr Sierant , Jakub Zakrzewski

We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex…

量子气体 · 物理学 2016-11-23 Chen Cheng , Rubem Mondaini

Many-body localization (MBL) is a result of the balance between interference-based Anderson localization and many-body interactions in an ultra-high dimensional Fock space. It is usually expected that dissipation is blurring interference…

无序系统与神经网络 · 物理学 2018-07-25 I. Vakulchyk , I. Yusipov , M. Ivanchenko , S. Flach , S. Denisov

We numerically explore $\mathbb Z_2$-symmetric random interacting Ising-Majorana chains at high energy. A very rich phase diagram emerges with two topologically distinct many-body localization (MBL) regimes separated by a much broader…

无序系统与神经网络 · 物理学 2022-08-05 Nicolas Laflorencie , Gabriel Lemarié , Nicolas Macé

Many body localization (MBL) has emerged as a powerful paradigm for understanding non-equilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL only arises in systems with short range interactions. Here we…

强关联电子 · 物理学 2017-10-27 Rahul M. Nandkishore , S. L. Sondhi

We study the many-body localization (MBL) properties of a chain of interacting fermions subject to a quasiperiodic potential such that the non-interacting chain is always delocalized and displays multifractality. Contrary to naive…

无序系统与神经网络 · 物理学 2019-05-01 Nicolas Macé , Nicolas Laflorencie , Fabien Alet

It is known that strong disorder in closed quantum systems leads to many-body localization (MBL), and that this quantum phase can be destroyed by coupling to an infinitely large Markovian environment. However, the stability of the MBL phase…

无序系统与神经网络 · 物理学 2023-07-07 Shao-Hen Chiew , Jiangbin Gong , Leong-Chuan Kwek , Chee-Kong Lee

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…

无序系统与神经网络 · 物理学 2022-08-17 M. S. Bahovadinov , D. V. Kurlov , S. I. Matveenko , B. L. Altshuler , G. V. Shlyapnikov

Characterizing out-of-equilibrium many-body dynamics is a complex but crucial task for quantum applications and the understanding of fundamental phenomena. A central question is the role of localization in quenching quantum thermalization,…

无序系统与神经网络 · 物理学 2018-02-20 Ken Xuan Wei , Chandrasekhar Ramanathan , Paola Cappellaro

We study the phenomenon of many-body localization (MBL) in an interacting system subjected to a combined DC as well as a square wave AC electric field. First, the condition for the dynamical localization, coherent destruction of…

无序系统与神经网络 · 物理学 2020-09-02 Devendra Singh Bhakuni , Ritu Nehra , Auditya Sharma

Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with non-ergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body…

无序系统与神经网络 · 物理学 2019-01-23 Maxime Dupont , Nicolas Laflorencie

We consider a chain of interacting fermions with random disorder that was intensively studied in the context of many-body localization. We show that only a small fraction of the two-body interaction represents a true local perturbation to…

统计力学 · 物理学 2023-01-12 B. Krajewski , L. Vidmar , J. Bonca , M. Mierzejewski

Studies of disordered spin chains have recently experienced a renewed interest, inspired by the question to which extent the exact numerical calculations comply with the existence of a many-body localization phase transition. For the…

无序系统与神经网络 · 物理学 2022-01-05 Lev Vidmar , Bartosz Krajewski , Janez Bonca , Marcin Mierzejewski

We investigate the effect of ergodic inclusions in putative many-body localized systems. To this end, we consider the random field Heisenberg chain, which is many-body localized at strong disorder and we couple it to an ergodic bubble,…

无序系统与神经网络 · 物理学 2024-07-08 Luis Colmenarez , David J. Luitz , Wojciech De Roeck

we investigate the thermodynamic properties of weakly anisotropic disordered magnetic chains where the nearest-neighbor Heisenberg exchange coupling is the dominant spin-spin interaction. In addition to the exchange interaction, there is…

无序系统与神经网络 · 物理学 2009-11-07 I. Avgin , D. L. Huber

We study many-body localization properties of the disordered XXZ spin chain in the Ising phase. Disorder is introduced via a random magnetic field in the $z$-direction. We prove a strong form of dynamical exponential clustering for…

数学物理 · 物理学 2017-07-31 Alexander Elgart , Abel Klein , Günter Stolz

We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point correlation functions. The system considered is the Heisenberg spin-1/2 chain with exchange interaction…

无序系统与神经网络 · 物理学 2017-07-26 Jaime L. C. da C. Filho , Andreia Saguia , Lea F. Santos , Marcelo S. Sarandy