Information Flow, Non-Markovianity and Geometric Phases

Details Information Flow, Non-Markovianity and Geometric Phases Information Flow, Non-Markovianity and Geometric Phases

2010-11-18

arxiv.org/abs/1011.4117v1

Phys. Rev. A 82, 052111 (2010)

Physics

Quantum Physics

12 pages, 11 figures

Scientific paper

Geometric phases and information flows of a two-level system coupled to its environment are calculated and analyzed. The information flow is defined as a cumulant of changes in trace distance between two quantum states, which is similar to the measure for non-Markovianity given by Breuer. We obtain an analytic relation between the geometric phase and the information flow for pure initial states, and a numerical result for mixed initial states. The geometric phase behaves differently depending on whether there are information flows back to the two-level system from its environment.

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