Collapse and revival oscillations as a probe for the tunneling amplitude in an ultra-cold Bose gas

TL;DR

This paper investigates how quantum corrections to revival times in ultracold Bose gases can be used to precisely measure tunneling amplitudes, combining numerical and mean-field methods for systems with and without trapping potentials.

Contribution

It introduces a method to determine the tunneling parameter in ultracold Bose gases by analyzing quantum corrections to revival times, supported by numerical and mean-field analysis.

Findings

Quantum corrections affect revival times significantly.

The method accurately estimates the tunneling amplitude.

Applicable to systems with and without trapping potentials.

Abstract

We present a theoretical study of the quantum corrections to the revival time due to finite tunneling in the collapse and revival of matter wave interference after a quantum quench. We study hard-core bosons in a superlattice potential and the Bose-Hubbard model by means of exact numerical approaches and mean-field theory. We consider systems without and with a trapping potential present. We show that the quantum corrections to the revival time can be used to accurately determine the value of the hopping parameter in experiments with ultracold bosons in optical lattices.