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相关论文: Half-Chain Entanglement Entropy in the One-Dimensi…

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We study the entanglement properties of the one-dimensional dimerized Fermi-Hubbard model. Using a matrix-product-state approach, we compute the ground state and identify two insulating phases at 1/2- and 3/4-filling, along with a metallic…

强关联电子 · 物理学 2026-02-25 Min-Chul Cha , Hoon Beom Kwon , Ji-Woo Lee , Myung-Hoon Chung

We consider critical models in one dimension. We study the ground state in thermodynamic limit [infinite lattice]. Following Bennett, Bernstein, Popescu, and Schumacher, we use the entropy of a sub-system as a measure of entanglement. We…

强关联电子 · 物理学 2009-11-10 Vladimir Korepin

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

强关联电子 · 物理学 2016-09-08 Eduardo Fradkin

We numerically investigate the low-lying entanglement spectrum of the ground state of random one-dimensional spin chains obtained after partition of the chain into two equal halves. We consider two paradigmatic models: the spin-1/2 random…

量子气体 · 物理学 2018-09-05 Giacomo Torlai , Kenneth D. McAlpine , Gabriele De Chiara

We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the…

量子物理 · 物理学 2009-11-10 J. P. Keating , F. Mezzadri

We study the entanglement feature of the ground state of a system composed of spin 1 and 1/2 parts. The concurrence vector is shown to be consistent with the measurement of von Neumann entropy for such system. In the light of the ground…

量子物理 · 物理学 2007-05-23 You-Quan Li , Guo-Qiang Zhu , Xue-An Zhao

We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By performing the infinite density matrix renormalization group with…

强关联电子 · 物理学 2021-02-24 Myung-Hoon Chung

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

Entanglement of the ground states in $XXZ$ and dimerized Heisenberg spin chains as well as in a two-leg spin ladder is analyzed by using the spin-spin concurrence and the entanglement entropy between a selected sublattice of spins and the…

量子物理 · 物理学 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang

Entanglement is a physical phenomenon that each state cannot be described individually. Entanglement entropy gives quantitative understanding to the entanglement. We use decomposition of the Hilbert space to discuss properties of the…

高能物理 - 理论 · 物理学 2016-02-17 Chen-Te Ma

The quantum entanglement measure is determined, for the first time, for a collection of spin-1/2 arranged in a infinite chain with finite temperature and applied to a single-crystal \beta-\mathrm{T_eVO_4}. The physical quantity proposed…

强关联电子 · 物理学 2016-05-17 S. L. L. da Silva

We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The…

量子物理 · 物理学 2016-05-25 Yu-Chin Tzeng , Li Dai , M. -C. Chung , Luigi Amico , Leong-Chuan Kwek

We investigate the entanglement properties of a finite size 1+1 dimensional Ising spin chain, and show how these properties scale and can be utilized to reconstruct the ground state wave function. Even at the critical point, few terms in a…

量子物理 · 物理学 2007-05-23 Stein Olav Skrøvseth

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

A quantum state's entanglement across a bipartite cut can be quantified with entanglement entropy or, more generally, Schmidt norms. Using only Schmidt decompositions, we present a simple iterative algorithm to maximize Schmidt norms.…

量子物理 · 物理学 2018-06-14 Robin Reuvers

We devise a method based on the tensor-network formalism to calculate genuine multisite entanglement in ground states of infinite spin chains containing spin-1/2 or spin-1 quantum particles. The ground state is obtained by employing an…

量子物理 · 物理学 2019-06-12 Sudipto Singha Roy , Himadri Shekhar Dhar , Aditi Sen De , Ujjwal Sen

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

强关联电子 · 物理学 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

Bipartite entanglement in the ground state of a chain of $N$ quantum spins can be quantified either by computing pairwise concurrence or by dividing the chain into two complementary subsystems. In the latter case the smaller subsystem is…

量子物理 · 物理学 2007-12-04 J. P. Keating , F. Mezzadri , M. Novaes

Numerical studies of the reduced density matrix of a gapped spin-1/2 Heisenberg antiferromagnet on a two-leg ladder find that it has the same form as the Gibbs density matrix of a gapless spin-1/2 Heisenberg antiferromagnetic chain at a…

强关联电子 · 物理学 2013-08-28 Xiao Chen , Eduardo Fradkin

Fisher-Hartwig formula has been successful applied to describe the von Neumann and R\'enyi entropies of a block of spins in the ground state of XX spin chain. It was based on a determinant representation. In this paper, we generalize the…

量子物理 · 物理学 2011-04-21 B. -Q. Jin , V. E. Korepin