Phase diagram and quantum criticality of a non-Hermitian XY model with a complex transverse field
Phase diagram and quantum criticality of a non-Hermitian XY model with a complex transverse field
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具有复杂横向场的非厄米 XY 模型的相图和量子临界性
DOI：
10.1088/1361-648x/ac06ef
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发表时间：
2021-06
期刊：
影响因子：
--
通讯作者：
Rong Lü
中科院分区：
文献类型：
--
作者：
Jinghui Pi;Rong Lü
We study a one dimensional non-Hermitian quantum XY model with a complex transverse field, where the imaginary transverse field can be generated by three-level atoms with spontaneous decay. Many-body spectrum can be obtained analytically. The phase diagram in thermodynamical limit indicates that the imaginary transverse field induces non-Hermitian degeneracy and shrinks the ferromagnetic phase for anisotropic interaction. We also analyze the effect of imaginary field on quantum criticality through ground state geometry phase. It causes a shift of transition point but does not change the order of phase transition in anisotropic interaction region. However, the phase transition is related to the original Hermitian degeneracy in anisotropic interaction region, which indicates that the imaginary transverse field cannot change phase boundary and critical behavior.
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