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A simple and efficient method for calculating the ground state for a class of antiferromagnet systems is presented. It combines the valence bond structure of the ground state for this class of systems and real space renormalization group.…

Strongly Correlated Electrons · Physics 2007-05-23 E. Rico

We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most…

Quantum Physics · Physics 2009-11-13 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

We calculate the entanglement between two spins in the ferromagnetic Heisenberg chain at low temperatures, and show that when only the ground state and the one particle states are populated, the entanglement profile is a gaussian with a…

Quantum Physics · Physics 2016-09-08 M. Asoudeh , V. Karimipour

There have been numerous studies of entanglement in spin systems. These have usually focussed on examining the entanglement between individual spins or determining whether the state of the system is completely separable. Here we present…

Quantum Physics · Physics 2015-05-19 Hongjun Zheng , Ho Trung Dung , Mark Hillery

We consider general locally-interacting arbitrary-dimensional lattice spin systems that are gapped for any system size. We show under reasonable conditions that nondegenerate ground states of such systems obey the entanglement area law. In…

Quantum Physics · Physics 2014-11-11 Jaeyoon Cho

The phase diagram of spins 1/2 embedded in a magnetic field mutually interacting antiferromagnetically is determined. Contrary to the ferromagnetic case where a second order quantum phase transition occurs, a first order transition is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Vidal , R. Mosseri , J. Dukelsky

We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero temperature) at the initial instant, and it starts…

Quantum Physics · Physics 2009-10-20 Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

In this study, considering the long-range interaction with an inverse-square and its trigonometric and hyperbolic variants in SCM model we investigate entanglement in (1/2,1) mixed-spin XY model. We also discuss the temperature and magnetic…

Quantum Physics · Physics 2012-04-03 S. D. Han , T. Tufekci , T. P. Spiller , E. Aydiner

We have composed the ideas of quantum renormalization group and quantum information by exploring the low energy states dynamic of entanglement resources of a system close to its quantum critical point. We demonstrate the low energy states…

Quantum Physics · Physics 2010-11-25 R. Jafari

The paper presents a computational study of the ground-state properties of a quantum nanomagnet possessing the shape of a finite two-legged ladder composed of 12 spins $S=1/2$. The system is described with isotropic quantum Heisenberg model…

Statistical Mechanics · Physics 2018-01-03 K. Szałowski , P. Kowalewska

We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence,…

Statistical Mechanics · Physics 2011-03-01 M. Filippone , S. Dusuel , J. Vidal

We study the multi-spin entanglement for the 1D anisotropic XY model concentrating on the simplest case of three-spin entanglement. As compared to the pairwise entanglement, three-party quantum correlations have a longer range and they are…

Quantum Physics · Physics 2009-11-13 D. Patané , R. Fazio , L. Amico

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 analytically study momentum-space entanglement in quantum spin-half ladders consisting of two coupled critical XXZ spin-half chains using field theoretical methods. When the system is gapped, the momentum-space entanglement Hamiltonian…

Strongly Correlated Electrons · Physics 2016-03-09 Rex Lundgren

We consider a two-dimensional geometrically frustrated integer-spin Heisenberg system that admits an exact ground state. The system corresponds to a decorated square lattice with two coupling constants J1 and J2, and it can be understood as…

Strongly Correlated Electrons · Physics 2015-06-04 Johannes Richter , Heinz-Jürgen Schmidt

We study the equilibrium properties of the spin-$1/2$ XY chain with an infinite-range transverse interaction. At zero temperature, competition between the XY- and the $z$-ordered phases induced by the infinite-range interactions gives rise…

Statistical Mechanics · Physics 2023-10-17 Bojan Žunkovič , Pedro Ribeiro

Solid-state spin arrays are being engineered in varied systems, including gated coupled quantum dots and interacting dopants in semiconductor structures. Beyond quantum computation, these arrays are useful integrated analog simulators for…

Strongly Correlated Electrons · Physics 2017-01-17 Leonardo Banchi , Abolfazl Bayat , Sougato Bose

We derive bounds for the entanglement of a spin with an (adjacent and non-adjacent) interval of spins in an arbitrary pure finitely correlated state (FCS) on a chain of spins of any magnitude. Finitely correlated states are otherwise known…

Mathematical Physics · Physics 2007-05-23 Spyridon Michalakis , Bruno Nachtergaele

Quantum one-dimensional systems in their ordered phase admit kinks as elementary excitations above their symmetry-broken vacua. While the scattering properties of the kinks resemble those of quasiparticles, they have distinct locality…

Strongly Correlated Electrons · Physics 2025-11-12 Luca Capizzi , Michele Mazzoni

Shannon-R\'enyi entropies and associated participation spectra quantify how much a many-body wave-function is localized in a given configuration basis. Using these tools, we present an analysis of the ground-state wave functions of various…

Strongly Correlated Electrons · Physics 2014-08-26 David J. Luitz , Nicolas Laflorencie , Fabien Alet
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