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

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.

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Cited by in corpus (20)

• Geometric phases in quantum information
• Geometric phases in open systems: an exact model to study how they are corrected by decoherence
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Non-Markovian effect on the geometric phase of a dissipative qubit
• Geometric phases induced in auxiliary qubits by many-body systems near its critical points
• Nonequilibrium thermal entanglement in three-qubit $XX$ model
• Geometric phase of a quantum dot system in nonunitary evolution
• Quantumness and memory of one qubit in a dissipative cavity under classical control
• Decoherence-induced geometric phase in a multilevel atomic system
• Non-Markovian Effects on the Geometric Phase
• Geometry of quantum evolution in a nonequilibrium environment
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• Non-Markovian dynamics of mixed-state geometric phase of dissipative qubits
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• Geometric phase corrected by initial system-environment correlations
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• Open system geometric phase based on system-reservoir joint state evolution
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate