Mott-insulator state of cold atoms in tilted optical lattices: doublon dynamics and multi-level Landau-Zener tunneling

TL;DR

This paper investigates the dynamics of strongly interacting Bose atoms in tilted optical lattices, focusing on multi-level Landau-Zener tunneling and deriving analytical formulas for doublon numbers, relevant for experimental observations.

Contribution

It introduces a detailed analysis of doublon dynamics and multi-level Landau-Zener tunneling in tilted optical lattices, providing new analytical expressions for measurable quantities.

Findings

Identified different tunneling regimes.

Derived analytical expressions for doublon number.

Enhanced understanding of atom dynamics in tilted lattices.

Abstract

We discuss the dynamical response of strongly interacting Bose atoms in an adiabatically tilted optical lattice. The analysis is performed in terms of the multi-level Landau-Zenner tunneling. Different regimes of tunneling are identified and analytical expressions for the doublon number, which is the quantity measured in laboratory experiments, are derived.