Lattice-Ramp Induced Dynamics in an Interacting Bose-Bose Mixture

TL;DR

This paper studies the non-adiabatic dynamics of a two-species bosonic quantum gas in an optical lattice, revealing how ramp-up times affect quantum state evolution and experimental observables.

Contribution

It models the effects of finite ramp-up times on the dynamics of an interacting Bose-Bose mixture using the Gutzwiller mean-field approach, explaining experimental oscillations.

Findings

Violation of adiabaticity during lattice ramp-up.

Reproduction of visibility oscillations observed experimentally.

Analysis of dynamics at zero and finite temperatures.

Abstract

We investigate a bosonic quantum gas consisting of two interacting species in an optical lattice at zero and finite temperature. The equilibrium properties and dynamics of this system are obtained by means of the Gutzwiller mean-field method. In particular we model recent experiments where the ramp-up of the optical lattice occurs on a time scale comparable to the tunneling time of the bosons. We demonstrate the violation of adiabaticity of this process with respect to the many-body quantum states, and reproduce and explain the oscillations of the visibility as a function of ramp-up time, as seen in experiments.