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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…

量子物理 · 物理学 2019-11-27 Nicholas Carrillo

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

强关联电子 · 物理学 2016-11-25 Yangang Chen , Guifre Vidal

Quantifying entanglement of multiple subsystems is a challenging open problem in interacting quantum systems. Here, we focus on two subsystems of length $\ell$ separated by a distance $r=\alpha\ell$ and quantify their entanglement…

无序系统与神经网络 · 物理学 2022-08-17 Jay S. Zou , Helen S. Ansell , István A. Kovács

We study the transition from a many-body localized phase to an ergodic phase in spin chain with correlated random magnetic fields. Using multiple statistical measures like gap statistics and extremal entanglement spectrum distributions, we…

无序系统与神经网络 · 物理学 2022-09-14 Abhisek Samanta , Ahana Chakraborty , Rajdeep Sensarma

The transition between ergodic phase and many-body localization (MBL) phase lies at the heart in understanding quantum thermalization of many-body systems. Here we predict a many-body critical phase in the one-dimensional extended…

无序系统与神经网络 · 物理学 2021-02-26 Yucheng Wang , Chen Cheng , Xiong-jun Liu , Dapeng Yu

We investigate the scaling of the bipartite entanglement entropy across Lifshitz quantum phase transitions, where the topology of the Fermi surface changes without any changes in symmetry. We present both numerical and analytical results…

强关联电子 · 物理学 2013-03-26 Marlon Rodney , H. Francis Song , Sung-Sik Lee , Karyn Le Hur , Erik Sorensen

The dynamics of entanglement has recently been realized as a useful probe in studying ergodicity and its breakdown in quantum many-body systems. In this paper, we study theoretically the growth of entanglement in quantum many-body systems…

统计力学 · 物理学 2017-03-02 Wen Wei Ho , Dmitry A. Abanin

The entanglement entropy (EE) encodes key properties of quantum many-body systems. It is usually calculated for subregions of finite volume (or area in 2d). In this work, we study the EE of skeletal regions that have \textit{no} volume,…

强关联电子 · 物理学 2022-09-07 Clément Berthiere , William Witczak-Krempa

We study the many-body localization aspects of single-particle mobility edges in fermionic systems. We investigate incommensurate lattices and random disorder Anderson models. Many-body localization and quantum nonergodic properties are…

统计力学 · 物理学 2016-06-07 Xiaopeng Li , J. H. Pixley , Dong-Ling Deng , Sriram Ganeshan , S. Das Sarma

We study many-body localization for a disordered chain of spin 1/2 fermions. In [Phys. Rev. B \textbf{94}, 241104 (2016)], when both down and up components are exposed to the same strong disorder, the authors observe a power law growth of…

无序系统与神经网络 · 物理学 2018-07-25 Jakub Zakrzewski , Dominique Delande

Quantum fluctuations of local quantities can be a direct signature of entanglement in an extended quantum many-body system. Hence they may serve as a theoretical (as well as an experimental) tool to detect the spatial properties of the…

量子气体 · 物理学 2017-05-24 Irénée Frérot , Tommaso Roscilde

Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully…

无序系统与神经网络 · 物理学 2024-02-20 Jiameng Hong , Taotao Hu

We investigate the distribution of entanglement entropy in hybrid quantum circuits consisting of random unitary gates and local measurements applied at a finite rate. We demonstrate that higher moments of the entanglement entropy…

量子物理 · 物理学 2026-04-14 Jeonghyeok Park , Hyukjoon Kwon , Hyunseok Jeong

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

We study the entanglement entropy scaling of the XXZ chain. While in the critical XY phase of the XXZ chain the entanglement entropy scales logarithmically with a coefficient that is determined by the associated conformal field theory, at…

强关联电子 · 物理学 2013-10-15 Pochung Chen , Zhi-long Xue , I. P. McCulloch , Ming-Chiang Chung , Miguel Cazalilla , S. -K. Yip

The disordered XXZ model is a prototype model of the many-body localization transition (MBL). Despite numerous studies of this model, the available numerical evidence of multifractality of its eigenstates is not very conclusive due severe…

无序系统与神经网络 · 物理学 2020-05-22 David J. Luitz , Ivan M. Khaymovich , Yevgeny Bar Lev

We investigate the number entropy $S_N$---which characterizes particle-number fluctuations between subsystems---following a quench in one-dimensional interacting many-body systems with potential disorder. We find evidence that in the regime…

无序系统与神经网络 · 物理学 2020-06-18 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Michael Fleischhauer , Jesko Sirker

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

无序系统与神经网络 · 物理学 2015-05-13 Gil Refael , Joel E. Moore

We analyze the localization properties of the disordered Hubbard model in the presence of a synthetic magnetic field. An analysis of level spacing ratio shows a clear transition from ergodic to many-body localized phase. The transition…

无序系统与神经网络 · 物理学 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

The disordered many-body systems can undergo a transition from the extended ensemble to a localized ensemble, known as many-body localization (MBL), which has been intensively explored in recent years. Nevertheless, the relation between…

无序系统与神经网络 · 物理学 2019-10-17 Hong-Ze Xu , Shun-Yao Zhang , Ze-Yu Rao , Zhengwei Zhou , Guang-Can Guo , Ming Gong