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We calculate exactly the entanglement content of magnon excited states in the integrable spin-1/2 XXX and XXZ chains in the scaling limit. In particular, we show that as far as the number of excited magnons with respect to the size of the…

Statistical Mechanics · Physics 2022-02-16 Jiaju Zhang , M. A. Rajabpour

We consider entanglement in the ground state of the XY spin model on infinite chain. We use von Neumann entropy of a sub-system as a measure of entanglement. The entropy of a large block of neighboring spins approaches a constant as the…

Quantum Physics · Physics 2007-05-23 A. R. Its , B. -Q. Jin , V. E. Korepin

We introduce a family of inhomogeneous XX spin chains whose squared couplings are a polynomial of degree at most four in the site index. We show how to obtain an asymptotic approximation for the R\'enyi entanglement entropy of all such…

Strongly Correlated Electrons · Physics 2023-11-14 Federico Finkel , Artemio González-López

We derive some entanglement properties of the ground states of two classes of quantum spin chains described by the Fredkin model, for half-integer spins, and the Motzkin model, for integer ones. Since the ground states of the two models are…

Statistical Mechanics · Physics 2019-10-25 Luca Dell'Anna

We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacting monomer numbers (i,j) shows clustering in small regions…

Condensed Matter · Physics 2009-10-28 E. Ben-Naim , G. S. Grest , T. A. Witten , A. R. C. Baljon

The reduced dynamics of a single or two qubits coupled to an interacting quantum spin bath modeled by a XXZ spin chain is investigated. By using the method of time-dependent density matrix renormalization group (t-DMRG), we go beyond the…

Strongly Correlated Electrons · Physics 2013-04-04 Cheng-Yan Lai , Jo-Tzu Hung , Chung-Yu Mou , Pochung Chen

We discuss entanglement and critical properties of the spin-3/2 XXZ chain in its entire gapless region. Employing density-matrix renormalization group calculations combined with different methods based on level spectroscopy, correlation…

Strongly Correlated Electrons · Physics 2012-04-11 Marcello Dalmonte , Elisa Ercolessi , Luca Taddia

We begin by deriving bounds for the entanglement of a spin with an (adjacent and non-adjacent) interval of spins in an arbitrary pure Finitely Correlated States (FCS). The bounds we derive become exact in the case where one considers the…

Quantum Physics · Physics 2008-07-31 Spyridon Michalakis

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…

Strongly Correlated Electrons · Physics 2013-10-15 Pochung Chen , Zhi-long Xue , I. P. McCulloch , Ming-Chiang Chung , Miguel Cazalilla , S. -K. Yip

We study the ground-state entanglement of one-dimensional harmonic chains that are coupled to each other by a collective interaction as realized e.g. in an anisotropic ion crystal. Due to the collective type of coupling, where each chain…

Quantum Physics · Physics 2013-05-29 R. G. Unanyan , M. Fleischhauer , D. Bruss

We suggest a method of entangling significantly the distant ends of a spin chain using minimal control. This entanglement between distant individual spins is brought about solely by exploiting the dynamics of an initial mixed state with…

Quantum Physics · Physics 2009-07-13 Hannu Wichterich , Sougato Bose

The entanglement properties of some novel quantum systems are studied that are inspired by recent developments in cold-atom technology. A triangular optical lattice of two atomic species can be employed to generate a variety of spin-1/2…

Quantum Physics · Physics 2007-05-23 Jiannis K. Pachos

We consider the spin k/2 analogue of the XXZ quantum spin chain. We compute the entanglement entropy S associated with splitting the infinite chain into two semi-infinite pieces. In the scaling limit, we find S ~ c_k/6 (ln(xi))+ln(g)+... .…

Mathematical Physics · Physics 2011-02-16 Robert Weston

Entanglement patterns reveal essential information on many-body states and provide a way to classify quantum phases of matter. However, experimental studies of many-body entanglement remain scarce due to their unscalable nature. The present…

Quantum Physics · Physics 2025-10-06 Szczepan Głodzik , Kim Pöyhönen , Ali G. Moghaddam , Teemu Ojanen

We consider two prototypical quantum models, the spin-1/2 XY chain and the quantum Ising chain and study their entanglement entropy, S(l,L), of blocks of l spins in homogeneous or inhomogeneous systems of length L. By using two different…

Statistical Mechanics · Physics 2009-11-13 F. Iglói , R. Juhász

We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a…

Statistical Mechanics · Physics 2015-05-13 Ingo Peschel , Viktor Eisler

In a recent publication, we have discussed the effects of boundary conditions in finite quantum systems and their connection with symmetries. Focusing on the one-dimensional Hubbard Hamiltonian under twisted boundary conditions, we have…

Strongly Correlated Electrons · Physics 2018-08-01 Krissia Zawadzki , Irene D'Amico , Luiz N. Oliveira

This review focuses on the field of quantum entanglement applied to condensed matter physics systems with strong correlations, a domain which has rapidly grown over the last decade. By tracing out part of the degrees of freedom of…

Strongly Correlated Electrons · Physics 2016-08-11 Nicolas Laflorencie

We study the entanglement content of a class of mesoscopic tunable magnetic systems. The systems are closed finite spin-1/2 chains with ferromagnetic nearest-neighbor interactions frustrated by antiferromagnetic next-nearest-neighbor…

Statistical Mechanics · Physics 2009-06-10 Masudul Haque , V. Ravi Chandra , Jayendra N. Bandyopadhyay

In this paper, we study three specific aspects of entanglement in small spin clusters. We first study the effect of inhomogeneous exchange coupling strength on the entanglement properties of the S=1/2 antiferromagnetic linear chain tetramer…

Quantum Physics · Physics 2007-05-23 Amit Tribedi , Indrani Bose
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