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We have studied the diluted Heisenberg spin glass model in a 3-component random field for the commonly-used one-dimensional long-range model where the probability that two spins separated by a distance $r$ interact with one another falls as…

Disordered Systems and Neural Networks · Physics 2025-03-06 Bharadwaj Vedula , M. A. Moore , Auditya Sharma

Entanglement is a vital property of multipartite quantum systems, characterised by the inseparability of quantum states of objects regardless of their spatial separation. Generation of entanglement between increasingly macroscopic and…

Entanglement between individual spins can be detected by using thermodynamics quantities as entanglement witnesses. This applies to collective spins also, provided that their internal degrees of freedom are frozen, as in the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-11-21 F. Troiani , S. Carretta , P. Santini

We carry out a systematic study of the exact block entanglement in XXZ spin-chain at Delta=-1/2. We present, the first analytic expressions for reduced density matrices of n spins in a chain of length L (for n<=6 and arbitrary but odd L) of…

Statistical Mechanics · Physics 2009-11-13 Bernard Nienhuis , Massimo Campostrini , Pasquale Calabrese

In the study of entanglement in a spin chain, people often consider the nearest-neighbor spins. The motivation is the prevailing role of the short range interactions in creating quantum correlation between the 1st neighbor (1N) spins. Here,…

We determine the conditions under which general dimer-type spin chains with $XYZ$ couplings of arbitrary range in a general transverse field will exhibit an exactly separable parity-breaking eigenstate. We also provide sufficient conditions…

Quantum Physics · Physics 2010-08-27 Norma Canosa , Raul Rossignoli , Juan Mauricio Matera

We show how mapping techniques inherent to $N^{2}$-dimensional discrete phase spaces can be used to treat a wide family of spin systems which exhibits squeezing and entanglement effects. This algebraic framework is then applied to the…

Quantum Physics · Physics 2013-07-16 Marcelo A. Marchiolli , Diógenes Galetti , Tiago Debarba

In this paper we revisit the gravitational eikonal amplitudes of two scattering spinning particles and inspect their scrambling power in the spin spaces that is quantified through the tripartite information. We found that in the…

High Energy Physics - Theory · Physics 2023-03-07 Ling-Yan Hung , Kaixin Ji , Tianheng Wang

The monogamous nature of entanglement has been illustrated by the derivation of entanglement sharing inequalities - bounds on the amount of entanglement that can be shared amongst the various parts of a multipartite system. Motivated by…

Quantum Physics · Physics 2009-11-10 Christopher M. Dawson , Andrew P. Hines , Ross H. McKenzie , G. J. Milburn

We investigate the bipartite entanglement for the boundary states in a simple type of spin networks with dangling edges, in which the two complementary parts are linked by two or more edges. Firstly, the spin entanglement is considered in…

High Energy Physics - Theory · Physics 2019-01-23 Yi Ling , Meng-He Wu , Yikang Xiao

The entanglement in one-dimensional random XY spin systems where the impurities of exchange couplings and the external magnetic fields are considered as random variables is investigated by solving the different spin-spin correlation…

Quantum Physics · Physics 2009-11-13 C. J. Shan , W. W. Cheng , T. K. Liu , Y. X. Huang , H. Li

Entanglement in a many-particle system can enable measurement sensitivities beyond that achievable by only classical correlations. For an ensemble of spins, all-to-all interactions are known to reshape the quantum projection noise, leading…

We establish long-range order for discrete nearest-neighbor spin systems on $\mathbb{Z}^d$ satisfying a certain symmetry assumption, when the dimension $d$ is higher than an explicitly described threshold. The results characterize all…

Mathematical Physics · Physics 2026-04-24 Ron Peled , Yinon Spinka

We determine the complete set of generalized spin squeezing inequalities. These are entanglement criteria that can be used for the experimental detection of entanglement in a system of spin-1/2 particles in which the spins cannot be…

Quantum Physics · Physics 2011-11-09 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

What can we learn about entanglement between individual particles in macroscopic samples by observing only the collective properties of the ensembles? Using only a few experimentally feasible collective properties, we establish an…

Quantum Physics · Physics 2007-05-23 Johannes Kofler , Caslav Brukner

In one dimension very general results from conformal field theory and exact calculations for certain quantum spin systems have established universal scaling properties of the entanglement entropy between two parts of a critical system.…

Statistical Mechanics · Physics 2013-05-29 H. Francis Song , Stephan Rachel , Karyn Le Hur

A relation between entanglement and criticality of spin chains is established. The entanglement we exploit is shared between auxiliary particles, which are isolated from each other, but are coupled to the same critical spin-1/2 chain. We…

Quantum Physics · Physics 2009-11-11 X. X. Yi , H. T. Cui , L. C. Wang

We investigate entanglement generation in one-dimensional quantum spin systems with the sinusoidal deformation. In the system, the energy scale of each local term in the Hamiltonian is modified according to a position-dependent function…

Quantum Physics · Physics 2013-05-28 Toshiya Hikihara , Takafumi Suzuki

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

We study spin fluctuations in quarter-filled one-dimensional spin-density-wave systems in presence of short-range Coulomb interactions. By applying a path integral method, the spin-wave velocity is calculated as a function of on-site (U),…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Tomio , N. Dupuis , Y. Suzumura