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The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

无序系统与神经网络 · 物理学 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical…

量子气体 · 物理学 2013-09-23 J. Schachenmayer , B. P. Lanyon , C. F. Roos , A. J. Daley

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

统计力学 · 物理学 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the…

量子物理 · 物理学 2024-07-25 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukan , Aditi Sen De

The quantum Ising chain of length, L, which is separated into two parts by localized or extended defects is considered at the critical point where scaling of the interface magnetization is non-universal. We measure the entanglement entropy…

统计力学 · 物理学 2013-05-29 Ferenc Iglói , Zsolt Szatmári , Yu-Cheng Lin

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

强关联电子 · 物理学 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

高能物理 - 理论 · 物理学 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

Entanglement generated by Ising model has been studied for several authors in order to understand the relation between it and magnetic properties of materials, principally using one or two dimensional models for two or more particles. In…

量子物理 · 物理学 2008-10-01 Francisco Delgado

We study the scaling of the Renyi and entanglement entropy of two disjoint blocks of critical Ising models, as function of their sizes and separations. We present analytic results based on conformal field theory that are quantitatively…

统计力学 · 物理学 2010-02-22 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entanglement entropy between two halves of a chain varies logarithmically with…

统计力学 · 物理学 2009-11-13 V. Eisler , F. Igloi , I. Peschel

We describe an algorithm for studying the entanglement entropy and spectrum of 2D systems, as a coupled array of $N$ one dimensional chains in their continuum limit. Using the algorithm to study the quantum Ising model in 2D, (both in its…

统计力学 · 物理学 2015-03-31 A. J. A. James , R. M. Konik

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

统计力学 · 物理学 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

The correlation length plays a pivotal role in finite-size scaling and hyperscaling at continuous phase transitions. Below the upper critical dimension, where the correlation length is proportional to the system length, both finite-size…

统计力学 · 物理学 2015-02-18 E. J. Flores-Sola , B. Berche , R. Kenna , M. Weigel

The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and…

无序系统与神经网络 · 物理学 2009-11-13 Yu-Cheng Lin , Ferenc Igloi , Heiko Rieger

The Ising chains in a transverse magnetic field of constant strength (h=1) and with the spin interaction value \lambda are considered. In the case of infinitely long chain, exact analytical expressions are found for the second central…

量子物理 · 物理学 2015-05-20 M. A. Yurishchev

We investigate the evolution of entanglement spectra under a global quantum quench from a short-range correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra…

统计力学 · 物理学 2019-11-11 Qicheng Tang , W. Zhu

The role of two-point and multipartite entanglement at quantum phase transitions (QPTs) in correlated electron systems is investigated. We consider a bond-charge extended Hubbard model exactly solvable in one dimension which displays…

强关联电子 · 物理学 2009-11-11 Alberto Anfossi , Paolo Giorda , Arianna Montorsi

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

高能物理 - 理论 · 物理学 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya
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