Dissipative Dynamics of a Josephson Junction In the Bose-Gases

TL;DR

This paper models the dissipative behavior of a Josephson junction in Bose gases using a tunneling Hamiltonian, deriving an effective action and analyzing phase dynamics at finite temperatures, including asymmetric cases.

Contribution

It introduces a detailed theoretical framework for understanding dissipative Josephson dynamics in Bose gases, including finite temperature effects and asymmetry.

Findings

Derived an effective action for phase difference dynamics.

Analyzed phase dynamics at finite temperatures.

Extended analysis to asymmetric Bose-gas cases.

Abstract

The dissipative dynamics of a Josephson junction in the Bose-gases is considered within the framework of the model of a tunneling Hamiltonian. The effective action which describes the dynamics of the phase difference across the junction is derived using functional integration method. The dynamic equation obtained for the phase difference across the junction is analyzed for the finite temperatures in the low frequency limit involving the radiation terms. The asymmetric case of the Bose-gases with the different order parameters is calculated as well.