Emergence of junction dynamics in a strongly interacting Bose mixture

TL;DR

This paper investigates the complex dynamics of a strongly interacting one-dimensional Bose mixture with an impurity, revealing Josephson-like oscillations and geometry-dependent tunneling behaviors.

Contribution

It introduces a spin chain model for the system in the strong interaction limit, linking trap geometry to exchange coefficients and uncovering novel dynamical phenomena.

Findings

Observation of Josephson-like oscillations in impurity dynamics

Enhanced tunneling in double-well geometries

Strong interactions lead to non-trivial oscillatory behavior

Abstract

We study the dynamics of a one-dimensional system composed of a bosonic background and one impurity in single- and double-well trapping geometries. In the limit of strong interactions, this system can be modeled by a spin chain where the exchange coefficients are determined by the geometry of the trap. We observe non-trivial dynamics when the repulsion between the impurity and the background is dominant. In this regime, the system exhibits oscillations that resemble the dynamics of a Josephson junction. Furthermore, the double-well geometry allows for an enhancement in the tunneling as compared to the single-well case.