Dipole mode of a strongly correlated one-dimensional Bose gas in a split trap: parity effect and barrier renormalization

TL;DR

This paper investigates how a split trap affects the dipole oscillations of a strongly correlated one-dimensional Bose gas, revealing interaction-dependent frequency shifts, barrier renormalization, and a notable parity effect in quantum transport.

Contribution

It introduces a detailed analysis of dipolar oscillations in a split trap, highlighting the impact of interactions and quantum fluctuations on barrier effects and parity phenomena.

Findings

Dipole-mode frequency varies with interaction strength.

Barrier renormalization influenced by quantum fluctuations.

A pronounced parity effect emerges in the strongly correlated regime.

Abstract

We consider an interacting, one-dimensional Bose gas confined in a split trap, obtained by an harmonic potential with a localized barrier at its center. We address its quantum-transport properties through the study of dipolar oscillations, which are induced by a sudden quench of the position of the center of the trap. We find that the dipole-mode frequency strongly depends on the interaction strength between the particles, yielding information on the classical screening of the barrier and on its renormalization due to quantum fluctuations. Furthermore, we predict a parity effect which becomes most prominent in the strongly correlated regime.