Josephson oscillations in split one-dimensional Bose gases

TL;DR

This paper models the non-equilibrium dynamics of a weakly interacting Bose gas in a double well potential, capturing the microscopic details of Josephson oscillations and their damping through a self-consistent 1D approximation.

Contribution

It introduces a combined approach of time-dependent Hartree-Fock and channel projection to accurately simulate Josephson oscillations in split 1D Bose gases.

Findings

Successfully models damped Josephson oscillations.

Provides a microscopic understanding of phase dynamics.

Demonstrates the effectiveness of the 1D channel projection method.

Abstract

We consider the non-equilibrium dynamics of a weakly interacting Bose gas tightly confined to a highly elongated double well potential. We use a self-consistent time-dependent Hartree--Fock approximation in combination with a projection of the full three-dimensional theory to several coupled one-dimensional channels. This allows us to model the time-dependent splitting and phase imprinting of a gas initially confined to a single quasi one-dimensional potential well and obtain a microscopic description of the ensuing damped Josephson oscillations.