Squeezing Properties of Jaynes-Cummings Fields in Heat Baths

Abstract

Abstract It is well-known that the field in the Jaynes-Cummings model shows second-order and fourth-order quadrature squeezing. We study the influence of a heat bath reservoir on the squeezing properties of the Jaynes-Cummings field. The experimental realization of the Jaynes-Cummings model is the one-atom maser. Instead of introducing the cavity loss from the first instance of the atom-field interaction we consider the cavity loss only after the atom leaves the cavity under the assumption of strong coupling of the atom with the cavity field as in micromaser theory. In this way we can suggest an optimum span of time to preserve the squeezing properties of the Jaynes-Cummings field. We first investigate the thermal decay of the Fock state and with use of this analytical result we study the evolution of squeezing properties of the cavity field surrounded by the heat bath. Unlike the monotonic decay of second-order squeezing, we find an interesting result of enhancement of fourth-order squeezing during the dissipation process. We extensively analyse the enhancement of fourth-order squeezing through the dissipation process so as to apply the analysis to the case of decay of an arbitrary field state into the vacuum.