Berry phase in a composite system

Abstract

The Berry phase in a composite system with only one subsystem being driven has been studied in this Letter. We choose two spin-$\frac{1}{2}$ systems with spin-spin couplings as the composite system, one of the subsystems is driven by a time-dependent magnetic field. We show how the Berry phases depend on the coupling between the two subsystems, and what is the relation between these Berry phases of the whole system and those of the subsystems.

4 pages, 6 figures

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• Universal single-qubit non-adiabatic holonomic quantum gates in optomechanical system
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• Separable states and the geometric phases of an interacting two-spin system
• Quantum trajectory approach to the geometric phase: open bipartite systems
• Geometric Phase in Entangled Bipartite Systems
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• Thermal Uhlmann phase in a locally driven two-spin system
• Comment on "Berry Phase in a Composite System"
• Aharonov-Anandan phase in Lipkin-Meskov-Glick model
• Geometric Phase of a Spin-1/2 Particle Coupled to a Quantum Vector Operator
• Geometric phases in neutrino mixing
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
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• Geometric Phase for degenerate states of spin-1 and spin-1/2 pair
• Berry phases for interacting spins in composite environments