Berry's phase with quantized field driving: effects of inter-subsystem coupling

Abstract

The effect of inter-subsystem couplings on the Berry phase of a composite system as well as that of its subsystem is investigated in this paper. We analyze two coupled spin-$\frac{1}{2}$ particles with one driven by a quantized field as an example, the pure state geometric phase of the composite system as well as the mixed state geometric phase for the subsystem is calculated and discussed.

arXiv comment4 pages, 1 figure

References in corpus (12)

• Geometric phases for mixed states in interferometry
• Geometric phase in open systems
• Berry phase for a spin 1/2 in a classical fluctuating field
• Geometric phases for non-degenerate and degenerate mixed states
• Berry phase in a non-isolated system
• Generalization of geometric phase to completely positive maps
• Berry phase in a composite system
• Vacuum induced Spin-1/2 Berry phase
• Berry phase in entangled systems: a proposed experiment with single neutrons
• Topological phase for entangled two-qubit states
• Berry's phase in Cavity QED: proposal for observing an effect of field quantization
• Effect of intersubsystem coupling on the geometric phase in a bipartite system

Cited by in corpus (7)

• Absence of Vacuum Induced Berry Phases without the Rotating Wave Approximation in Cavity QED
• Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
• Geometric phases in a scattering process
• Does the Berry phase in a quantum optical system originate from the rotating wave approximation
• Vacuum induced Berry phases in single-mode Jaynes-Cummings models
• On the rotating wave approximation in the adiabatic limit
• Berry phases for interacting spins in composite environments