Dipole oscillations of confined lattice bosons in one dimension

TL;DR

This paper investigates the dynamics of confined one-dimensional lattice bosons, analyzing how dipole oscillations behave under various conditions using numerical methods, and relates findings to recent experimental results.

Contribution

It provides a detailed numerical study of dipole oscillations in a non-integrable 1D bosonic system, connecting theoretical predictions with experimental observations.

Findings

Dipole oscillations range from undamped to overdamped depending on parameters.

The study explains experimental results on bosonic dipole dynamics.

Interaction strength and trap displacement critically influence oscillation behavior.

Abstract

We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques. Particles are confined by a parabolic potential, and dipole oscillations are induced by displacing the trap center of a few lattice sites. Depending on the system parameters this motion can vary from undamped to overdamped. We study the dipole oscillations as a function of the lattice displacement, the particle density and the strength of interparticle interactions. These results explain the recent experiment C.D. Fertig et al., Phys. Rev. Lett. 94, 120403 (2005).