Dissipative dynamics of the Josephson effect in the binary Bose-condensed mixtures

TL;DR

This paper investigates the dissipative dynamics of a Josephson junction in binary Bose-condensed mixtures, deriving coupled equations for phase differences and analyzing effects of interspecies interactions and asymmetry.

Contribution

It introduces a detailed model of Josephson junction dynamics in binary Bose mixtures, including effects of interspecies hybridization and asymmetry, using a functional integral approach.

Findings

Derived coupled equations for phase dynamics in binary mixtures.

Analyzed effects of interspecies hybridization on Josephson currents.

Explored asymmetric mixture cases with different concentrations.

Abstract

The dissipative dynamics of a pointlike Josephson junction in binary Bose-condensed mixtures is analyzed within the framework of the model of a tunneling Hamiltonian. The transmission of unlike particles across a junction is described by the different transmission amplitudes. The effective action that describes the dynamics of the phase differences across the junction for each of two condensed components is derived employing the functional integration method. In the low-frequency limit the dynamics of a Josephson junction can be described by two coupled equations in terms of the potential energy and dissipative Rayleigh function using a mechanical analogy. The interplay between mass currents of each mixture component appears in the second-order term in the tunneling amplitudes due to interspecies hybridizing interaction. The asymmetric case of the binary mixtures with the different concentration and order parameters is considered as well.