Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction |
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| Authors: | Li Zhi-Jian Cheng Lu and Wen Jiao-Jin |
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| Affiliation: | Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China |
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| Abstract: | We consider a two-qubit system described by the Heisenberg
XY model with Dzyaloshinski--Moriya (DM) anisotropic interaction
in a perpendicular magnetic field to investigate the relation
between entanglement, geometric phase and quantum phase transition
(QPT). It is shown that the DM interaction has an effect on the
critical boundary. The combination of entanglement and geometric
phase may characterize QPT completely. Their jumps mean that the occurrence
of QPT and inversely the QPT at the critical point at least
corresponds to a jump of one of them. |
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| Keywords: | entanglement geometric phase quantum phase transition |
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