Wigner Distribution Analysis of a Schrodinger Cat Superposition of Displaced Equilibrium Coherent States
Abstract
Motivated by recent experiments, we consider a Schr\"odinger cat superposition of two widely separated coherent states in thermal equilibrium. The time development of our system is obtained using Wigner distribution functions. In contrast to our discussion for a two-Gaussian wave packet [Phys. Lett. A 286 (2001) 87], we find that, in the absence of dissipation, the interference term does not decay rapidly in time, but in common with the other two terms, it oscillates in time and persists for all times
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