Quantum quench dynamics in XY spin chain with ferromagnetic and antiferromagnetic interactions

Zhe Wang, Pan-Pan Fang, Yu-Liang Xu, Chun-Yang Wang, Rong-Tao Zhang, Han Zhang and Xiang-Mu Kong

Physica A: Statistical Mechanics and its Applications, 2021, vol. 581, issue C

Abstract: In this manuscript we investigate the one-dimensional anisotropic XY model with ferromagnetic and antiferromagnetic interactions, which gives more interesting phase diagram and dynamic critical behaviors. By using quantum renormalization-group method, we find that there are three phases in the system: antiferromagnetic Ising phase ordered in “x direction”, spin-fluid phase and ferromagnetic Ising phase ordered in “y direction”. In order to study the dynamical critical behaviors of the system, two quantum quenching methods are used. In both cases, the concurrence, a measure of entanglement, oscillates periodically over time. It if found that in the both cases the periods are the same and can be used as a order parameter for quantum phase transitions. It is also found that there is a scaling behavior for the evolution period and a reciprocal relation for the evolution period exponent, θ and correlation length exponent, ν.

Keywords: Quantum phase transition; Quench dynamics; Concurrence; XY model; Quantum renormalization-group (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:581:y:2021:i:c:s0378437121004787

DOI: 10.1016/j.physa.2021.126205

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