On the Interaction Between Two Coupled Coherent Oscillators.
GERALD J. IAFRATE, Mark Croft
Abstract
The quantum dynamics for two coupled harmonic oscillators is presented. Using the coupled Boson representation, the assumed problem is shown to be isomorphic with a perturbed angular momentum oscillator. The current operator is obtained and its associated expectation values with respect to the number states, coherent states (Glauber states) and atomic coherent states are given. In the limit of weak coupling the results obtained using the coherent states are shown to manifest a Josephson phase relationship. (Author)