Geometric Phase of Two Qubits System in Asymmetry External Magnetic Fields

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Geometric Phase of Two Qubits System in Asymmetry External Magnetic Fields

Journal Title: 河南科技大学学报（自然科学版） - Year 2017, Vol 38, Issue 2

Abstract

The geometric phase of two qubits system with XXZ Heisenberg interaction in the asymmetry rotate magnetic fields was investigated. Taking account of the adiabatic condition of system,the Berry phases for the four eigen states of system were obtained via the numerical simulation method. The influences of the polar angle of the rotate magnetic field and the anisotropy parameter of the interaction of two qubits system on the Berry phase for the four eigen states were investigated. The results show that when the polar angle remains constant,if the anisotropy parameter is increased from zero to infinity,the Hamiltonian of system is changed from the XX model to the Heisenberg model,and finally to the Ising model. The Berry phase for the four eigen states are changed with their own laws. The smaller the polar angle is,the faster the Berry phase reaches the steady value. Through the study of the Berry phase,the transition process of the system via the parameter can be obtained and the geometric property of the eigen states can be understood more clearly.

Authors and Affiliations

Yaoheng SU, Aimin CHEN, Jun WANG, Yuewen LI

Keywords

quantum information; two qubits system; geometric phase; Heisenberg interaction;

EP ID EP477936
DOI -
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