Geometric phase of a two-level system in a dissipative environment

Details Geometric phase of a two-level system in a dissipative environment Geometric phase of a two-level system in a dissipative environment

2008-05-06

arxiv.org/abs/0805.0645v2

Phys. Rev. A 79, 052107 (2009)

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevA.79.052107

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.

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