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Many-body-localized (MBL) phases can be topologically distinct, but distinguishing these phases using order parameters can be challenging. Here we show how topologically distinct local integrals of motion, variationally parametrized by…

无序系统与神经网络 · 物理学 2022-05-05 Thorsten B. Wahl , Florian Venn , Benjamin Béri

Since the seminal work of Anderson, localisation has been recognised as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea acquired even more prominence in the last decade as it has been argued that…

混沌动力学 · 物理学 2022-04-25 Bruno Bertini , Pavel Kos , Tomaz Prosen

Many-body localization (MBL) is understood theoretically through the existence of an extensive number of local integrals of motion (LIOMs). These conserved quantities are related to the microscopic quantum degrees of freedom that are…

无序系统与神经网络 · 物理学 2025-12-11 Ben Craps , Oleg Evnin , Dmitry Kovrizhin , Gabriele Pascuzzi

The many-body localization (MBL) is commonly related to a strong spatial disorder. We show that MBL may alternatively be generated by adding a temporal disorder to periodically driven many-body systems. We reach this conclusion by mapping…

无序系统与神经网络 · 物理学 2017-10-11 Marcin Mierzejewski , Krzysztof Giergiel , Krzysztof Sacha

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

统计力学 · 物理学 2015-07-07 Yichen Huang

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

强关联电子 · 物理学 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

Detecting many-body localization (MBL) typically requires the calculation of high-energy eigenstates using numerical approaches. This study investigates methods that assume the use of a quantum device to detect disorder-induced…

无序系统与神经网络 · 物理学 2022-10-31 Kazue Kudo

We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's…

无序系统与神经网络 · 物理学 2015-12-25 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

We study many-body localization (MBL) and delocalization from the perspective of integrals of motion (IOMs). MBL can be understood phenomenologically through the existence of macroscopically many localized IOMs. However, IOMs exist for all…

强关联电子 · 物理学 2021-01-29 Louk Rademaker , Miguel Ortuno , Andres M. Somoza

We discuss the problem of localization in two dimensional electron systems in the quantum Hall (single Landau level) regime. After briefly summarizing the well-studied problem of Anderson localization in the non-interacting case, we…

无序系统与神经网络 · 物理学 2021-04-06 R. N. Bhatt , Akshay Krishna

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…

无序系统与神经网络 · 物理学 2024-05-13 Joey Li , Amos Chan , Thorsten B. Wahl

We develop a procedure which systematically generates all conserved operators in the disordered models of interacting fermions. Among these operators, we identify and count the independent and local integrals of motion (LIOM) which…

强关联电子 · 物理学 2018-03-07 Marcin Mierzejewski , Maciej Kozarzewski , Peter Prelovsek

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…

无序系统与神经网络 · 物理学 2019-06-19 Artur Maksymov , Piotr Sierant , Jakub Zakrzewski

Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly…

无序系统与神经网络 · 物理学 2022-04-20 David M. Long , Philip J. D. Crowley , Anushya Chandran

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

Level statistics of systems that undergo many--body localization transition are studied. An analysis of the gap ratio statistics from the perspective of inter- and intra-sample randomness allows us to pin point differences between…

无序系统与神经网络 · 物理学 2019-03-27 Piotr Sierant , Jakub Zakrzewski

Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various…

量子物理 · 物理学 2020-09-23 Yang Zhao , Rajesh Narayanan , Jaeyoon Cho

We find that a flat-band fermion system with interactions and without disorders exhibits non-thermalized ergodicity-breaking dynamics, an analog of many-body localization (MBL). In the previous works, we observed flat-band many-body…

量子气体 · 物理学 2021-02-24 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

In this work, the interplay between non-Hermiticity, quasi-disorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where non-Hermiticity is induced by the non-reciprocal hoppings…

无序系统与神经网络 · 物理学 2024-04-29 Shujie Cheng , Xixi Feng , Wen Chen , Niaz Ali Khan , Gao Xianlong