Berry's Phase for Ultracold Atoms in an Accelerated Optical Lattice

TL;DR

This paper explores the emergence of Berry's phase in ultracold atoms within a frequency-modulated optical lattice, highlighting its dependence on lattice oscillation amplitude and its relation to Bloch oscillations.

Contribution

It provides an analytical calculation of Berry's phase for ultracold atoms under gravity in an oscillating optical lattice, revealing a linear dependence on oscillation amplitude.

Findings

Berry's phase arises from Bloch oscillations and lattice periodic motion.

Analytical expression for Berry's phase under gravitational force.

Berry's phase depends linearly on oscillation amplitude.

Abstract

Berry's phase is investigated for ultracold atoms in a frequency modulated optical lattice. It is shown that Berry's phase appears due to Bloch oscillation and the periodic motion of the optical lattice. Particularly, Berry's phase for ultracold atoms under the gravitational force in an oscillating tight-binding optical lattice is calculated analytically. It is found that the Berry's phase depends linearly on the amplitude of the oscillation of the optical lattice.