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- W2900372011 abstract "We introduce a self-consistent framework for the analysis of both Abelian and non-Abelian geometric phases associated with open quantum systems, undergoing cyclic adiabatic evolution. We derive a general expression for geometric phases, based on an adiabatic approximation developed within an inherently open-systems approach. This expression provides a natural generalization of the analogous one for closed quantum systems, and we prove that it satisfies all the properties one might expect of a good definition of a geometric phase, including gauge invariance. A striking consequence is the emergence of a finite time interval for the observation of geometric phases. The formalism is illustrated via the canonical example of a spin-1/2 particle in a time-dependent magnetic field. Remarkably, the geometric phase in this case is immune to dephasing and spontaneous emission in the renormalized Hamiltonian eigenstate basis. This result positively impacts holonomic quantum computing." @default.
- W2900372011 created "2018-11-16" @default.
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- W2900372011 date "2005-07-01" @default.
- W2900372011 modified "2023-09-27" @default.
- W2900372011 title "Geometric phases in adiabatic open quantum systems" @default.
- W2900372011 hasPublicationYear "2005" @default.
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