Abstract
We study the geometric phase for the ground state of a generalized one-dimensional non-Hermitian quantum 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.
- Received 19 August 2013
DOI:https://doi.org/10.1103/PhysRevA.88.042108
©2013 American Physical Society