Effective mass analysis of Bose-Einstein condensates in optical lattices -- stabilization and levitation

TL;DR

This paper explores how the effective mass concept influences the dynamics of Bose-Einstein condensates in optical lattices, revealing effects like stabilization and levitation through theoretical analysis.

Contribution

It introduces an effective mass formalism to analyze the condensate's behavior, highlighting the impact of negative effective mass on its dynamics.

Findings

Negative effective mass significantly alters condensate motion.

The formalism explains stabilization and levitation phenomena.

Results provide insights into controlling condensate dynamics.

Abstract

We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function modulating the Bloch states of the lattice potential. In particular, we show how the negative effective mass affects the dynamics of the condensate.