Many-body Landau-Zener Transition in Cold Atom Double Well Optical Lattices

TL;DR

This paper investigates how many-body interactions in cold atom double well optical lattices influence Landau-Zener transitions, revealing enhanced transition probabilities and key experimental signatures of many-body effects.

Contribution

It provides a detailed analysis of the many-body Landau-Zener dynamics in large optical lattices, highlighting the role of interactions and system size in non-equilibrium behavior.

Findings

Many-body coupling enhances LZ transition probability.

Sign of on-site interaction significantly affects transition dynamics.

Experimental signatures include atom density, momentum distribution, and correlations.

Abstract

Ultra-cold atoms in optical lattices provide an ideal platform for exploring many-body physics of a large system arising from the coupling among a series of small identical systems whose few-body dynamics is exactly solvable. Using Landau-Zener (LZ) transition of bosonic atoms in double well optical lattices as an experimentally realizable model, we investigate such few to many body route by exploring the relation and difference between the small few-body (in one double well) and the large many-body (in double well lattice) non-equilibrium dynamics of cold atoms in optical lattices. We find the many-body coupling between double wells greatly enhances the LZ transition probability. The many-body dynamics in the double well lattice shares both similarity and difference from the few-body dynamics in one and two double wells. The sign of the on-site interaction plays a significant role on the many-body LZ transition. Various experimental signatures of the many-body LZ transition, including atom density, momentum distribution, and density-density correlation, are obtained.