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Geometric phase in open systems: beyond the Markov approximation and weak coupling limit

arXiv:quant-ph/0602181 · doi:10.1103/PhysRevA.73.052103

Abstract

Beyond the quantum Markov approximation and the weak coupling limit, we present a general theory to calculate the geometric phase for open systems with and without conserved energy. As an example, the geometric phase for a two-level system coupling both dephasingly and dissipatively to its environment is calculated. Comparison with the results from quantum trajectory analysis is presented and discussed.