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Geometric phases in adiabatic open quantum systems | | M. S. Sarandy
; D. A. Lidar
; | | Date: |
1 Jul 2005 | | Subject: | quant-ph | | Affiliation: | Center for Quantum Information and Quantum Control, University of Toronto | | Abstract: | We introduce a framework to analyze Abelian and non-Abelian geometric phases associated with open quantum systems undergoing cyclic adiabatic evolution. An expression for geometric phases is derived within an inherently open-systems approach, based on an adiabatic approximation developed for general convolutionless master equations. There is then a finite time interval for the observation of geometric phases. The formalism is illustrated via the example of a spin-1/2 particle in a time-dependent magnetic field. Remarkably, the geometric phase in this example is totally robust against dephasing and spontaneous emission in the Hamiltonian eigenstate basis. | | Source: | arXiv, quant-ph/0507012 | | Services: | Forum | Review | PDF | Favorites | |
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