Loop Structure Stability of a Double-Well-Lattice BEC

TL;DR

This paper investigates the emergence and stability of loop structures in the band spectrum of a Bose-Einstein condensate in a double-well optical lattice, revealing interaction-driven phenomena and conditions for experimental realization.

Contribution

It demonstrates that loop structures arise at any positive interaction strength in a double-well lattice, unlike in conventional lattices, and analyzes their stability for potential experimental observation.

Findings

Loop structures appear at the band edge for all positive interactions.

Certain regimes exhibit dynamical stability suitable for experiments.

Interaction-driven non-linear Bloch states can be stabilized dynamically.

Abstract

In this work, we consider excited many-body mean-field states of bosons in a double-well optical lattice by investigating stationary Bloch solutions to the non-linear equations of motion. We show that, for any positive interaction strength, a loop structure emerges at the edge of the band structure whose existence is entirely due to interactions. This can be contrasted to the case of a conventional optical (Bravais) lattice where a loop appears only above a critical repulsive interaction strength. Motivated by the possibility of realizing such non-linear Bloch states experimentally, we analyze the collective excitations about these non-linear stationary states and thereby establish conditions for the system's energetic and dynamical stability. We find that there are regimes that are dynamically stable and thus apt to be realized experimentally.