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The dynamics of entanglement in the one-dimensional spin-1/2 anisotropic XXZ model is studied using the quantum renormalization-group method. We obtain the analytical expression of the concurrence, for two different quenching methods, it is…

Statistical Mechanics · Physics 2020-04-09 Han Zhang , Yu-Liang Xu , Rong-Tao Zhang , Zhe Wang , Pan-Pan Fang , Zhong-Qiang Liu , Xiang-Mu Kong

Using the matrix product formalism, we introduce a two parameter family of exactly solvable $xyz$ spin 1/2 Heisenberg chains in magnetic field (with nearest neighbor interactions) and calculate the ground state and correlation functions in…

Quantum Physics · Physics 2013-05-29 M. Asoudeh , V. Karimipour , A. Sadrolashrafi

This paper investigates the dynamical generation of entanglement in scattering systems, in particular two spin systems that interact via rotationally-invariant scattering. The spin degrees of freedom of the in-states are assumed to be in…

Quantum Physics · Physics 2009-11-11 N. L. Harshman

We show that using a slightly modified XX model for a spin-1/2 chain, one can transmit almost perfectly a maximally entangled two-qubit state from one end of the chain to the other one. This is accomplished without external fields or…

Quantum Physics · Physics 2018-08-06 Rafael Vieira , Gustavo Rigolin

A scheme for generating an entangled state in a two spin-1/2 system by means of a spin-dependent potential scattering of another qubit is presented and analyzed in three dimensions. The entanglement is evaluated in terms of the concurrence…

Quantum Physics · Physics 2010-04-07 Yuichiro Hida , Hiromichi Nakazato , Kazuya Yuasa , Yasser Omar

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,…

The evolution of $N$ spin-$1/2$ system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the amount of spins and the…

Quantum Physics · Physics 2018-04-18 A. R. Kuzmak

We study two-spin entanglement and order parameter fluctuations as a function of the system size in the XY model in a transverse field and in the isotropic XXX model. Both models are characterized by the occurrence of ground state…

Quantum Physics · Physics 2010-10-19 Ferdinando de Pasquale , Gian Luca Giorgi , Marco Zannetti

Entanglement is believed to be crucial in macroscopic physical systems for understanding the collective quantum phenomena such as quantum phase transitions. We start from and solve exactly a novel Yang-Baxter spin-1/2 chain model with…

Quantum Physics · Physics 2008-11-17 Ming-Guang Hu , Kang Xue , Mo-Lin Ge

A subsystem of an entangled ground state is in a mixed state. Thus, if we isolate this subsystem from its surroundings we may be able to extract work applying unitary transformations, up to a maximal amount which is called ergotropy. Once…

We study the ground-state properties of a spin-1/2 model on a chain containing four-spin Ising-like interactions in the presence of both transverse and longitudinal magnetic fields. We use entanglement entropy and finite-size scaling…

Statistical Mechanics · Physics 2015-06-22 B. Boechat , J. Florencio , A. Saguia , O. F. de Alcantara Bonfim

We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group $G$ of spin flips acting on the fully polarized state $\ket{0}^{\otimes n}$, we find that the…

Quantum Physics · Physics 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

We consider a one-parameter family of matrix product states of spin one particles on a periodic chain and study in detail the entanglement properties of such a state. In particular we calculate exactly the entanglement of one site with the…

Quantum Physics · Physics 2009-11-13 S. Alipour , V. Karimipour , L. Memarzadeh

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

Entanglement between different regions in momentum space is studied for ground states of some spin-chain Hamiltonians: the XY model, the Ising model in a transverse field (ITF) and the XXZ models. In the XY and ITF cases, entanglement only…

Quantum Physics · Physics 2016-06-01 Miguel Ibáñez-Berganza , Javier Rodríguez-Laguna , Germán Sierra

In this manuscript, we study the non-Hermitian spin-1/2 XY model in the presence of the alternating, imaginary and transverse magnetic fields. For the two-site spin system, we solve exactly the energy spectrum and phase diagram, also…

Statistical Mechanics · Physics 2023-04-21 Yue Li , Pan-Pan Zhang , Li-Zhen Hu , Yu-Liang Xu , Xiang-Mu Kong

We study how the successive scattering of spin 1/2 particles with a central spin 1/2 target particle can generate entanglement between the helicity degrees of freedom of all scattered particles, effectively producing a multipartite…

Quantum Physics · Physics 2023-11-21 Gonçalo M. Quinta , Rui André

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

The entanglement entropy for the ground state of a XY spin chain is related to the corner transfer matrices of the triangular Ising model and expressed in closed form.

Statistical Mechanics · Physics 2009-11-10 Ingo Peschel

We study analytically the corrections to the leading terms in the Renyi entropy of a massive lattice theory, showing significant deviations from naive expectations. In particular, we show that finite size and finite mass effects give rise…

High Energy Physics - Theory · Physics 2012-05-31 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini