Quantum dynamics of a two-mode f-deformed cavity field in a heat bath

Abstract

In this paper, we investigate the dissipative quantum dynamics of a two-mode f-deformed cavity field coupled to a heat bath. We first calculate the transition probabilities between cavity field states; this is accomplished by exploiting the Feynman–Dyson expansion of the (interaction picture) evolution, truncated at the first order, and then tracing out the reservoir degrees of freedom. Then we obtain the equations of motion for the expectation value of the number operators of photons in the two modes of the f-deformed cavity field. Finally, we study cross correlation between the modes of a two-mode field, which is quantified by the cross correlation function.