Information Flow, Non-Markovianity and Geometric Phases

Abstract

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.

12 pages, 11 figures

References in corpus (5)

• Genuine quantum trajectories for non-Markovian processes
• An experimental observation of geometric phases for mixed states using NMR interferometry
• Measurement of geometric phase for mixed states using single photon interferometry
• Observation of nonadditive mixed state phases with polarized neutrons
• Non-Markovian Effects on the Geometric Phase

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• Geometry of quantum evolution in a nonequilibrium environment
• Interferometric Approach to Open Quantum Systems and Non-Markovian Dynamics
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Connecting two jumplike unravelings for non-Markovian open quantum systems
• Geometric Phase of a Transmon in a Dissipative Quantum Circuit