Geometric Phases, Coherent States and Resonant Hamiltonian

Details Geometric Phases, Coherent States and Resonant Hamiltonian Geometric Phases, Coherent States and Resonant Hamiltonian

1995-12-29

arxiv.org/abs/quant-ph/9512029v1

Physics

Quantum Physics

24 pages plain tex

Scientific paper

We study characteristic aspects of the geometric phase which is associated with the generalized coherent states. This is determined by special orbits in the parameter space defining the coherent state, which is obtained as a solution of the variational equation governed by a simple model Hamiltonian called the "resonant Hamiltonian". Three typical coherent states are considered: SU(2), SU(1,1) and Heisenberg-Weyl. A possible experimental detection of the phases is proposed in such a way that the geometric phases can be discriminated from the dynamical phase.

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