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quant-ph2008★ 14 cited
Geometric phase of a two-level system in a dissipative environment
Kazuo Fujikawa, Ming-Guang Hu
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 t…
quant-ph2007★ 8 cited
Adiabatic approximation in the second quantized formulation
Kazuo Fujikawa
Recently there have been some controversies about the criterion of the adiabatic approximation. It is shown that an approximate diagonalization of the effective Hamiltonian in the…
quant-ph2006★ 12 cited
Geometric phases for mixed states and decoherence
Kazuo Fujikawa
The gauge invariance of geometric phases for mixed states is analyzed by using the hidden local gauge symmetry which arises from the arbitrariness of the choice of the basis set de…