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We investigate the entanglement properties of non-Hermitian Su-Schrieffer-Heeger (SSH) model from the perspective of the Generalized Brillouin Zone (GBZ). The non-Bloch entanglement entropy is defined on a quasi-reciprocal lattice, obtained…

介观与纳米尺度物理 · 物理学 2025-01-14 Zhenghao Yang , Chaoze Lu , Xiancong Lu

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the…

高能物理 - 理论 · 物理学 2012-05-16 Aitor Lewkowycz

The one-dimensional (1D) tight binding model with random nearest neighbor hopping is known to have a singularity of the density of states and of the localization length at the band center. We study numerically the effects of random long…

无序系统与神经网络 · 物理学 2007-05-23 Chenggang Zhou , R. N. Bhatt

We study the entanglement entropy (EE) for pure gauge theories in 1+1 dimensions with the lattice regularization. Using the definition of the EE for lattice gauge theories proposed in a previous paper [1] (S. Aoki, T. Iritani, M. Nozaki, T.…

高能物理 - 理论 · 物理学 2017-01-04 Sinya Aoki , Etsuko Itou , Keitaro Nagata

We investigate the dynamics of the ground state entanglement entropy for a discretized scalar field propagating within the Oppenheimer-Snyder collapse metric. Starting from a well-controlled initial configuration, we follow the system as it…

广义相对论与量子宇宙学 · 物理学 2025-11-12 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

In this Letter, we investigate the stability of the statistical equilibrium of spherically symmetric collisionless self-gravitating systems. By calculating the second variation of the entropy, we find that perturbations of the relevant…

宇宙学与河外天体物理 · 物理学 2011-06-08 Ping He , Dong-Biao Kang

The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi…

强关联电子 · 物理学 2017-10-13 Barry A. Friedman , Gregory C. Levine

We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results…

统计力学 · 物理学 2015-06-22 J. C. Xavier , F. B. Ramos

We study the probability distribution of entanglement in the Quantum Symmetric Simple Exclusion Process, a model of fermions hopping with random Brownian amplitudes between neighboring sites. We consider a protocol where the system is…

统计力学 · 物理学 2021-07-30 Denis Bernard , Lorenzo Piroli

We study theoretically and numerically the entanglement entropy of the $d$-dimensional free fermions whose one body Hamiltonian is the Anderson model. Using basic facts of the exponential Anderson localization, we show first that the…

量子物理 · 物理学 2014-10-15 L. Pastur , V. Slavin

We study the relative entanglement entropy (EE) among various primary excited states in two critical spin chains: the S=1/2 XXZ chain and the transverse field Ising chain at criticality. For the S=1/2 XXZ chain, which corresponds to c=1…

统计力学 · 物理学 2017-09-26 Yuya O. Nakagawa , Tomonori Ugajin

In a spin chain governed by a local Hamiltonian, we consider a microcanonical ensemble in the middle of the energy spectrum and a contiguous subsystem whose length is a constant fraction of the system size. We prove that if the bandwidth of…

量子物理 · 物理学 2024-12-18 Yichen Huang

The quantum phases of one-dimensional spin $s= 1/2$ chains are discussed for models with two parameters, frustrating exchange $g = J_2 > 0$ between second neighbors and normalized nonfrustrating power-law exchange with exponent $\alpha$ and…

强关联电子 · 物理学 2015-06-17 Manoranjan Kumar , Z. G. Soos

We study the scaling of the Renyi entanglement entropy of two disjoint blocks of critical lattice models described by conformal field theories with central charge c=1. We provide the analytic conformal field theory result for the second…

统计力学 · 物理学 2015-03-19 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We study the Von Neumann and R\'enyi entanglement entropy of long-range harmonic oscillators (LRHO) by both theoretical and numerical means. We show that the entanglement entropy in massless harmonic oscillators increases logarithmically…

统计力学 · 物理学 2013-01-21 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour

We study the ground-state entanglement entropy of a subsystem of size $L$ of non-interacting fermions scattered by a potential of finite range $a$. We derive a general relation between the scattering matrix and the overlap matrix and use it…

统计力学 · 物理学 2014-09-29 A. Ossipov

A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes in exactly solvable one-dimensional quantum…

强关联电子 · 物理学 2023-04-25 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

We develop an excited-state real-space renormalization group (RSRG-X) formalism to describe the dynamics of conserved densities in randomly interacting spin-$\frac{1}{2}$ systems. Our formalism is suitable for systems with $\textrm{U}(1)$…

无序系统与神经网络 · 物理学 2025-08-18 Yi J. Zhao , Samuel J. Garratt , Joel E. Moore

The entanglement spectrum (ES) provides a barometer of quantum entanglement and encodes physical information beyond that contained in the entanglement entropy. In this paper, we explore the ES of stabilizer codes, which furnish exactly…

量子物理 · 物理学 2019-05-09 Albert T. Schmitz , Sheng-Jie Huang , Abhinav Prem

We study analytically the corrections to the leading terms in the Renyi entropy of a massive lattice theory, showing significant deviations from naive expectations. In particular, we show that finite size and finite mass effects give rise…

高能物理 - 理论 · 物理学 2012-05-31 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini