Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field

• URL: http://arxiv.org/abs/2012.07374v2
• Date: Fri, 11 Jun 2021 12:49:42 GMT
• Title: Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Authors: Yu-Guo Liu and Lu Xu and Zhi Li
• Abstract summary: We show that critical points of Ising phase transition expand into a critical transition zone after introducing a non-Hermitian effect. The results reveal the relationship among different regions of the phase diagram, non-Hermitian energy gap and long-range correlation function.
• Score: 7.423228357182782
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we investigate the quantum phase transition in a non-Hermitian XY spin chain. The phase diagram shows that the critical points of Ising phase transition expand into a critical transition zone after introducing a non-Hermitian effect. By analyzing the non-Hermitian gap and long-range correlation function, one can distinguish different phases by means of different gap features and decay properties of correlation function, a tricky problem in traditional XY model. Furthermore, the results reveal the relationship among different regions of the phase diagram, non-Hermitian energy gap and long-range correlation function.

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