Non-Markovian Effects on the Geometric Phase

Abstract

The geometric phases of a two-level atom interacting with non-Markovian environments are calculated and the non-Markovian effects on the geometric phases are discussed in this paper. Three kinds of methods that describe the non-Markovian process, projection superoperator technique, memory kernel master equation and post-Markovian master equation, are used in the discussions. The results show that when the dissipation rate is large, the non-Markovian effects change the geometric phase more strikingly than the small one.

7 pages

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Cited by in corpus (10)

• Non-Markovian effect on the geometric phase of a dissipative qubit
• Geometric phase of two-level atoms and thermal nature of de Sitter spacetime
• Nonequilibrium thermal entanglement in three-qubit $XX$ model
• Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation
• Correction to the geometric phase by structured environments: the onset of non-Markovian effects
• Geometry of quantum evolution in a nonequilibrium environment
• Information Flow, Non-Markovianity and Geometric Phases
• Preservation of quantum Fisher information and geometric phase of a single qubit system in a dissipative reservoir through the addition of qubits
• Born-Oppenheimer approximation in open systems
• Geometric signature of non-Markovian dynamics