Geometric phase and phase diagram for a non-Hermitian quantum XY model

X. Z. Zhang and Z. Song
Phys. Rev. A 88, 042108 – Published 11 October 2013

Abstract

We study the geometric phase for the ground state of a generalized one-dimensional non-Hermitian quantum XY model, which has transverse-field-dependent intrinsic rotation-time reversal symmetry. Based on the exact solution, this model is shown to have a full real spectrum in multiple regions for the finite-size system. The result indicates that the phase diagram or exceptional boundary which separates the unbroken- and broken-symmetry regions corresponds to the divergence of the Berry curvature. The scaling behaviors of the ground-state energy and Berry curvature are obtained in an analytical manner for a concrete system.

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  • Received 19 August 2013

DOI:https://doi.org/10.1103/PhysRevA.88.042108

©2013 American Physical Society

Authors & Affiliations

X. Z. Zhang and Z. Song*

  • School of Physics, Nankai University, Tianjin 300071, China

  • *songtc@nankai.edu.cn

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Vol. 88, Iss. 4 — October 2013

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