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

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.

arXiv comment8 pages, 4 figures

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• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Emergent phase transition in Cluster Ising model with dissipation
• High-order series expansion of non-Hermitian quantum spin models
• Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
• Lindbladian dynamics with loss of quantum jumps
• Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Dynamical relaxation behavior of extended XY chain with gapless phase following a quantum quench
• The global phase diagram of the cluster-XY spin chain with dissipation
• $\mathcal{P}\mathcal{T}$-Symmetry breaking in quantum spin chains with exceptional non-Hermiticities
• Meissner effect in non-Hermitian superconductors
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Probing phase transitions in non-Hermitian systems with quantum entanglement