Finite-temperature dynamics of a bosonic Josephson junction

TL;DR

This paper studies the finite-temperature behavior of a bosonic Josephson junction using stochastic Gross-Pitaevskii equations, comparing its dynamics with classical models and estimating conductance influenced by thermal atoms.

Contribution

It introduces a finite-temperature analysis of a bosonic Josephson junction and compares the dynamics with classical Josephson models, highlighting the role of thermal atoms.

Findings

Estimated the effective normal conductance at various temperatures.

Compared the system's dynamics with resistively shunted Josephson and ballistic models.

Analyzed decay dynamics of population imbalance at finite temperatures.

Abstract

In the framework of the stochastic projected Gross-Pitaevskii equation we investigate finite-temperature dynamics of a bosonic Josephson junction (BJJ) formed by a Bose-Einstein condensate of atoms in a two-well trapping potential. We extract the characteristic properties of the BJJ from the stationary finite-temperature solutions and compare the dynamics of the system with the resistively shunted Josephson model. Analyzing the decay dynamics of the relative population imbalance we estimate the effective normal conductance of the junction induced by thermal atoms. The calculated normal conductance at various temperatures is then compared with predictions of the noise-less model and the model of ballistic transport of thermal atoms.