Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy

Gehad Sadiek, Qing Xu, Sabre Kais

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Abstract

We consider the entanglement in a two-dimensional XY model in an external magnetic field h. The model consists of a set of seven localized spin-12 particles in a two-dimensional triangular lattice coupled through nearest-neighbor exchange interaction J. We examine the effect of single and double impurities in the system as well as the degree of anisotropy on the nearest-neighbor entanglement and ergodicity of the system. We have found that the entanglement of the system at the different degrees of anisotropy mimics that of the one-dimensional spin systems at the extremely small and large values of the parameter λ=h/J. The entanglement of the Ising and partially anisotropic systems shows phase transition in the vicinity of λ=2, whereas, the entanglement of the isotropic system suddenly vanishes there. Also, we investigate the dynamic response of the system containing single and double impurities to an external exponential magnetic field at different degrees of anisotropy. We have demonstrated that the ergodicity of the system can be controlled by varying the strength and location of the impurities as well as the degree of anisotropy of the coupling.

Original languageEnglish
Article number042313
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume85
Issue number4
DOIs
Publication statusPublished - 13 Apr 2012

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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