Geometric phase in dephasing systems

Abstract

Beyond the quantum Markov approximation, we calculate the geometric phase of a two-level system driven by a quantized magnetic field subject to phase dephasing. The phase reduces to the standard geometric phase in the weak coupling limit and it involves the phase information of the environment in general. In contrast with the geometric phase in dissipative systems, the geometric phase acquired by the system can be observed on a long time scale. We also show that with the system decohering to its pointer states, the geometric phase factor tends to a sum over the phase factors pertaining to the pointer states.

4 pages

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Cited by in corpus (21)

• Absence of Vacuum Induced Berry Phases without the Rotating Wave Approximation in Cavity QED
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Fundamental phenomena of quantum mechanics explored with neutron interferometers
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• 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
• Temperature effects on mixed state geometric phase
• Geometric phase of a quantum dot system in nonunitary evolution
• Decoherence-induced geometric phase in a multilevel atomic system
• Geometry of quantum evolution in a nonequilibrium environment
• Geometric phase of a central spin coupled to an antiferromagnetic environment
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• Entanglement dynamics via Geometric phases in Trapped-ions
• Geometric Phase for degenerate states of spin-1 and spin-1/2 pair
• Application of Geometric Phase in Quantum Computations