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

作者：Fujikawa Kazuo^*; Hu Ming Guang

来源：Physical Review A, 2009, 79(5): 052107.

DOI：10.1103/PhysRevA.79.052107

• Berry phase
• geometry
• quantum computing

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.

• 出版日期2009-5
• 单位南开大学