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I investigate entanglement entropy of one dimension (1D) cluster states to discuss the delocalization of clusters in linear-chain $3\alpha$- and $4\alpha$-cluster states. In analysis of entanglement entropy of 1D…

核理论 · 物理学 2015-06-23 Yoshiko Kanada-En'yo

Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic ergodicity breaking…

强关联电子 · 物理学 2021-01-01 J. Šuntajs , J. Bonča , T. Prosen , L. Vidmar

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 establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a general setting, using methods of conformal field theory.…

量子物理 · 物理学 2009-11-11 R. Orus , J. I. Latorre , J. Eisert , M. Cramer

We introduce the spectrum bifurcation renormalization group (SBRG) as a generalization of the real-space renormalization group for the many-body localized (MBL) system without truncating the Hilbert space. Starting from a disordered…

强关联电子 · 物理学 2016-04-06 Yi-Zhuang You , Xiao-Liang Qi , Cenke Xu

The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von-Neumann entropy, Havrda-Charv{\' a}t-Tsallis entropies,…

We investigate the transition from the many-body localized phase to the ergodic thermalized phase at an infinite temperature in an $XY$ spin chain with $L$ spins, which experiences power-law decaying interactions in the form of…

量子气体 · 物理学 2019-12-18 Sebastian Schiffer , Jia Wang , Xia-Ji Liu , Hui Hu

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

无序系统与神经网络 · 物理学 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

We numerically investigate the link between the delocalization-localization transition and entanglement in a disordered long-range hopping model of spinless fermions by studying various static and dynamical quantities. This includes the…

强关联电子 · 物理学 2018-03-14 Nilanjan Roy , Auditya Sharma

We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal…

统计力学 · 物理学 2020-10-20 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many…

无序系统与神经网络 · 物理学 2023-03-07 Youcef Mohdeb , Javad Vahedi , Ravindra N. Bhatt , Stephan Haas , Stefan Kettemann

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains, e.g. in Fibonacci chains. For marginal and relevant…

统计力学 · 物理学 2009-11-13 F. Igloi , R. Juhasz , Z. Zimboras

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…

无序系统与神经网络 · 物理学 2022-10-18 Zhengyan Darius Shi , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

Estimating global properties of many-body quantum systems such as entropy or bipartite entanglement is a notoriously difficult task, typically requiring a number of measurements or classical post-processing resources growing exponentially…

Despite a very good understanding of single-particle Anderson localization in one-dimensional (1D) disordered systems, many-body effects are still full of surprises, a famous example being the interaction-driven many-body localization (MBL)…

无序系统与神经网络 · 物理学 2023-11-14 Jeanne Colbois , Nicolas Laflorencie

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 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 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

We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of the system belongs to a fully-entangled state,…

量子物理 · 物理学 2020-05-08 Sagar Vijay

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main probes of the system's behavior we use the sensitivity of eigenstates to adiabatic transformations, as expressed through the fidelity susceptibility, in…

量子物理 · 物理学 2021-11-09 Dries Sels , Anatoli Polkovnikov