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We prove a finite entanglement length for the Gibbs state of any local Hamiltonian on a spin chain at any finite temperature: After removing an interval of size at least equal to the entanglement length, the remaining left and right…

Quantum Physics · Physics 2026-02-25 Samuel O. Scalet

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…

Quantum Physics · Physics 2007-05-23 Stein Olav Skrøvseth

We consider rather general spin-$1/2$ lattices with large coordination numbers $Z$. Based on the monogamy of entanglement and other properties of the concurrence $C$, we derive rigorous bounds for the entanglement between neighboring spins,…

Quantum Physics · Physics 2015-03-17 Andreas Osterloh , Ralf Schützhold

We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with N\'eel order, a free Dirac fermion in the {\pi}-flux phase, and…

Strongly Correlated Electrons · Physics 2012-04-25 Hyejin Ju , Ann B. Kallin , Paul Fendley , Matthew B. Hastings , Roger G. Melko

We study the divergences of Wilson loops for a contour with a cusp of zero opening angle, combined with a nonzero discontinuity of its curvature. The analysis is performed in lowest order, both for weak and strong coupling. Such a spike…

High Energy Physics - Theory · Physics 2018-05-08 Harald Dorn

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

A scalar field in the ground state, when partially hidden from observation by a spherical boundary, acquires entanglement entropy $S$ proportional to the area of the surface. This area law is well established in flat space, where it follows…

Quantum Physics · Physics 2013-10-01 Katja Ried

We consider a general class of two-dimensional spin systems, with continuous but not necessarily smooth, possibly long-range, $O(N)$-symmetric interactions, for which we establish algebraically decaying upper bounds on spin-spin…

Probability · Mathematics 2014-10-22 Maxime Gagnebin , Yvan Velenik

A complete set of generalized spin-squeezing inequalities is derived for an ensemble of particles with an arbitrary spin. Our conditions are formulated with the first and second moments of the collective angular momentum coordinates. A…

Quantum Physics · Physics 2015-01-27 Giuseppe Vitagliano , Iagoba Apellaniz , Inigo L. Egusquiza , Geza Toth

To understand an emergent spacetime is to understand the emergence of locality. Entanglement entropy is a powerful diagnostic of locality, because locality leads to a large amount of short distance entanglement. Two dimensional string…

High Energy Physics - Theory · Physics 2015-09-23 Sean A. Hartnoll , Edward Mazenc

The entanglement in a general mixed spin chain with arbitrary spin $S$ and 1/2 is investigated in the thermodynamical limit. The entanglement is witnessed by the magnetic susceptibility which decides a characteristic temperature for an…

Quantum Physics · Physics 2009-11-13 Xiang Hao , Shiqun Zhu

Entanglement is an essential property of quantum many-body systems. However, its local detection is challenging and was so far limited to spin degrees of freedom in ion chains. Here we measure entanglement between the spins of atoms located…

The entanglement between spin-1/2 interstitial Heisenberg dimers in the mixed spin-(1,1/2) Ising-XXZ double sawtooth ladder is investigated at low temperature. Here, we consider a cyclic four-spin exchange interaction in square plaquette of…

Statistical Mechanics · Physics 2018-05-09 Hamid Arian Zad , Nerses Ananikian

We consider a spin-1/2 anisotropic XY model with time-dependent spin-spin coupling as means of creating long-distance entanglement. We predict the emergence of significant entanglement between the first and the last spin whenever the ac…

Quantum Physics · Physics 2009-03-29 Fernando Galve , David Zueco , Sigmund Kohler , Eric Lutz , Peter Hänggi

We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a phase transition between bounded and extensive entanglement entropy scaling. In this chain, spins have a local interaction of three nearest neighbors.…

Statistical Mechanics · Physics 2017-10-10 Olof Salberger , Takuma Udagawa , Zhao Zhang , Hosho Katsura , Israel Klich , Vladimir Korepin

The present work reports an experimental observation of thermal entanglement in a clusterized spin chain formed in the compound Na$_2$Cu$_5$Si$_4$O$_{14}$. The presence of entanglement was investigated through two measured quantities, an…

Quantum Physics · Physics 2009-11-13 A. M. Souza , M. S. Reis , D. O. Soares-Pinto , I. S. Oliveira , R. S. Sarthour

What is the relation between spin squeezing and entanglement? To clarify this, we derive the full set of generalized spin squeezing inequalities for the detection of entanglement. These are inequalities for the mean values and variances of…

Quantum Physics · Physics 2009-05-08 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

This article studies the decoherence induced on a system of two qubits by local interactions with a spin chain with nontrivial internal dynamics (governed by an XY Hamiltonian). Special attention is payed to the transition between two…

Quantum Physics · Physics 2013-05-29 Cecilia Cormick , Juan Pablo Paz

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

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…

Quantum Physics · Physics 2015-06-26 Yan Chen , Paolo Zanardi , Z. D. Wang , F. C. Zhang