Loop Structure Stability of a Double-Well-Lattice BEC

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.

6 pages, 5 figures

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• Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States
• Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices
• Instability of Holographic Superfuids in Optical Lattice
• Stability of $p$-orbital Bose-Einstein condensates in optical checkerboard and square lattices
• Attraction-induced dynamical stability of a Bose-Einstein condensate in a nonlinear lattice
• Absence of the Twisted Superfluid State in a mean field model of bosons on a Honeycomb Lattice
• Stabilization of Nonlinear Lattices: A Route to Superfluidity and Hysteresis
• Orbital phases of fermions in an asymmetric optical ladder