Effective spin model for interband transport in a Wannier-Stark lattice system

TL;DR

This paper introduces a simplified spin model for analyzing interband transport in a tilted two-band Bose-Hubbard system, enabling analytical predictions of oscillation revival times affected by interactions.

Contribution

The authors develop an analytical spin model that captures the interband dynamics and revival phenomena in a tilted two-band Bose-Hubbard system, simplifying the complex many-body problem.

Findings

Predicts revival times of interband oscillations

Shows decay and revival due to inter-particle interactions

Provides a new analytical approach for many-body systems

Abstract

We show that the interband dynamics in a tilted two-band Bose-Hubbard model can be reduced to an analytically accessible spin model in the case of resonant interband oscillations. This allows us to predict the revival time of these oscillations which decay and revive due to inter-particle interactions. The presented mapping onto the spin model and the so achieved reduction of complexity has interesting perspectives for future studies of many-body systems.