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

@article{Liu2021QuantumPT,
  title={Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field},
  author={Yu-Guo Liu and Lu Xu and Zhi Li},
  journal={Journal of Physics: Condensed Matter},
  year={2021},
  volume={33}
}
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… Expand

References

SHOWING 1-10 OF 85 REFERENCES
Quantum Phase Transitions (2nd ed
  • 2011
Exceptional topology of non-Hermitian systems
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular,Expand
2020 Non- Hermitian topological Anderson insulators
  • Sci. China: Phys., Mech. Astron
  • 2020
Biorthogonal quantum criticality in non-Hermitian many-body systems.
We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in theExpand
Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems.
TLDR
This work presents an exactly solvable model by generalizing Kitaev's toric-code model to a non-Hermitian regime and shows a singularity due to nonorthogonality of eigenstates in the susceptibility to a change in the system parameter. Expand
Double exceptional links in a three-dimensional dissipative cold atomic gas
Peng He, Jia-Hao Fu, Dan-Wei Zhang, 3, ∗ and Shi-Liang Zhu 2, 3, † National Laboratory of Solid State Microstructures and School of Physics, Nanjing University, Nanjing 210093, China GuangdongExpand
Effective non-Hermitian physics for degenerate ground states of a non-Hermitian Ising model with $\mathcal{RT}$ symmetry
In this paper, based on a one-dimensional non-Hermitian spin model with $\mathcal{RT}$-invariant term, we study the non-Hermitian physics for the two (nearly) degenerate ground states. By using theExpand
Fidelity-susceptibility analysis of the honeycomb-lattice Ising antiferromagnet under the imaginary magnetic field
The honeycomb-lattice Ising antiferromagnet subjected to the imaginary magnetic field H = iθT∕2 with the “topological” angle θ and temperature T was investigated numerically. In order to treat such aExpand
Hunting for the non-Hermitian exceptional points with fidelity susceptibility
The fidelity susceptibility has been used to detect quantum phase transitions in the Hermitian quantum many-body systems over a decade, where the fidelity susceptibility density approaches $+\infty$Expand
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