Quantum dynamics of hard-core bosons in tilted bichromatic optical lattices

TL;DR

This paper investigates the complex quantum dynamics of strongly interacting bosons in tilted bichromatic optical lattices, revealing oscillation modes, condensate depletion, and system reconstruction over time using exact numerical methods.

Contribution

It introduces a detailed analysis of many-particle quantum dynamics in bichromatic lattices, highlighting phenomena like Bloch oscillations and Landau-Zener tunneling with exact numerical simulations.

Findings

Observation of oscillating and breathing modes in dynamics

Condensate depletion during short-time evolution

Reconstruction of the system at integer multiples of Bloch-Zener time

Abstract

We study the dynamics of strongly repulsive Bose gas in tilted or driven bichromatic optical lattices. Using the Bose-Fermi mapping and exact numerical method, we calculate the reduced single-particle density matrices, and study the dynamics of density profile, momentum distribution and condensate fraction. We show the oscillating and breathing mode of dynamics, and depletion of condensate for short time dynamics. For long time dynamics, we clearly show the reconstruction of system at integer multiples of Bloch-Zener time. We also show how to achieve clear Bloch oscillation and Landau-Zener tunnelling for many-particle systems.