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Chinese Journal of Quantum Electronics

Pancharatnam phase in a superconducting charge qubit in the presence of quantized field

Qian‐Shu Li

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

We consider a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field. We investigate the dynamical behavior of the Pancharatnam phase and the geometric phase of the system, and find that the dynamic behavior of the Pancharatnam phase decreases with time, and the geometric phase increases with time. When the decreasing rate of Pancharatnam phase is large, the increasing rate of geometric phase is small, and vice versa.

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We consider a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field. We investigate the dynamical behavior of the Pancharatnam phase and the geometric phase of the system, and find that the dynamic behavior of the Pancharatnam phase decreases with time, and the geometric phase increases with time. When the decreasing rate of Pancharatnam phase is large, the increasing rate of geometric phase is small, and vice versa.
The time evolution of a single Cooper pair in the presence of another Cooper pair interacting with an electromagnetic field in a dissipative cavity is presented. The strong dependence of the dynamics of two superconducting charge qubits interacting with the microcavity field on the instantaneous phase shift experienced by the second qubit is demonstrated. The Pancharatnam phase is found to be more sensitive than the population dynamics to the phase shift. This leads us to suggest a new technique for controlling the system dynamics. Furthermore, although the atom is not directly coupled to the cavity modes, its coherent properties are found to be strongly influenced by dissipation, both qualitatively and quantitatively.