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We theoretically investigate the many-body localization phase transition in a one-dimensional Ising spin chain with random long-range spin-spin interactions, $V_{ij}\propto\left|i-j\right|^{-\alpha}$, where the exponent of the interaction…

量子气体 · 物理学 2016-12-28 Haoyuan Li , Jia Wang , Xia-Ji Liu , Hui Hu

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

We employ a convolutional neural network to explore the distinct phases in random spin systems with the aim to understand the specific features that the neural network chooses to identify the phases. With the energy spectrum normalized to…

无序系统与神经网络 · 物理学 2020-07-24 Rubah Kausar , Wen-Jia Rao , Xin Wan

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.…

无序系统与神经网络 · 物理学 2017-07-04 Frank Schindler , Nicolas Regnault , Titus Neupert

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

强关联电子 · 物理学 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

Machine-learning techniques are evolving into a subsidiary tool for studying phase transitions in many-body systems. However, most studies are tied to situations involving only one phase transition and one order parameter. Systems that…

统计力学 · 物理学 2019-03-20 Ke Liu , Jonas Greitemann , Lode Pollet

We detect the quantum phase transition of a quantum many-body system by mapping the observed results of the quantum state onto a neural network. In the present study, we utilized the simplest case of a quantum many-body system, namely a…

统计力学 · 物理学 2018-02-26 Shunta Arai , Masayuki Ohzeki , Kazuyuki Tanaka

Many-body localization (MBL) transition emerges at strong disorder in interacting systems, separating chaotic and reversible dynamics. Although the existence of MBL transition within the macroscopic limit in spin chains with a short-range…

无序系统与神经网络 · 物理学 2026-02-06 Illia Lukin , Andrii Sotnikov , Alexander L. Burin

The transition between many-body localized states and the delocalized thermal states is an eigen-state phase transition at finite energy density outside the scope of conventional quantum statistical mechanics. In this work we investigate…

强关联电子 · 物理学 2019-08-13 Wei Zhang , Ziqiang Wang

We study the quantum thermalization and information scrambling dynamics of an experimentally realizable quantum spin model with homogeneous XX-type all-to-all interactions and random local potentials. We identify the…

量子物理 · 物理学 2022-07-20 Shang-Shu Li , Rui-Zhen Huang , Heng Fan

Many-body localization (MBL) of a disordered interacting boson system in one dimension is studied numerically at the filling faction one-half. The von Neumann entanglement entropy SvN is commonly used to detect the MBL phase transition but…

无序系统与神经网络 · 物理学 2024-03-07 Jie Chen , Chun Chen , Xiaoqun Wang

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

强关联电子 · 物理学 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

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…

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

无序系统与神经网络 · 物理学 2015-05-20 Arijeet Pal , David A. Huse

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

无序系统与神经网络 · 物理学 2019-10-09 Sthitadhi Roy , David E. Logan

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

无序系统与神经网络 · 物理学 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

无序系统与神经网络 · 物理学 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body localization transition. We use the time-dependent variational…

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all states and thus effectively working at infinite…

无序系统与神经网络 · 物理学 2015-03-13 Arijeet Pal , David A. Huse

We study the many-body localization of spin chain systems with quasiperiodic fields. We identify the lower bound for the critical disorder necessary to drive the transition between the thermal and many-body localized phase to be $W_{cl}\sim…

无序系统与神经网络 · 物理学 2017-08-30 Mac Lee , Thomas R. Look , D. N. Sheng , S. P. Lim
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