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Physica C Superconductivity

Geometric phases and quantum correlations of superconducting two-qubit system with dissipative effect

Liyuan Xue, Yanxia Yu, Xiaoya Cai, Hui Pan, Zisheng Wang

Published Dec 2, 2015• 3 citations
Publisher
DOI
10.1016/j.physc.2015.11.004

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We investigate the influence of time-dependent electromagnetic field on the geometric quantum correlation and quantum coherence between two superconducting qubits in an open superconducting quantum circuit system. It is shown that the freezing of geometric quantum correlation will occur after the addition of magnetic field, and the freezing time will be extended with the addition of time-dependent electromagnetic field. In addition, the influence of time-dependent electromagnetic field on the quantum information flow between superconducting qubits and the environment is discussed by using trace distance method. It is found that the time-dependent electromagnetic fields can suppress the effect of the environment and slow down the exchange of the quantum information flows between the superconducting qubits and the environment.
The geometric (Berry) phase of a two-level system in a dissipative environment is analyzed by using the second-quantized formulation, which provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic phases and is thus applicable to a quantitative analysis of transitional regions away from ideal adiabaticity. In view of the recent experimental observation of the Berry phase in a superconducting qubit, we illustrate our formulation for a concrete adiabatic case in the Ohmic dissipation. The correction to the total phase together with the geometry-dependent dephasing time is given in a transparent way. The behavior of the geometric phase away from ideal adiabaticity is also analyzed in some detail.