Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices

TL;DR

This paper derives analytical solutions for current-carrying states in spin-orbit-coupled Bose-Einstein condensates within optical lattices, revealing unique properties not seen in regular or uniform systems, and enhancing understanding of their superfluid behavior.

Contribution

It provides the first analytical solutions for superflow in spin-orbit-coupled BECs in optical lattices, highlighting novel properties and aiding theoretical understanding.

Findings

Existence of analytical solutions at the Brillouin zone edge

Demonstration of unique properties absent in regular BEC systems

Insight into superfluid characteristics of spin-orbit-coupled BECs

Abstract

In this paper, we show that for sufficiently strong atomic interactions, there exist analytical solutions of current-carrying nonlinear Bloch states at the Brillouin zone edge to the model of spin-orbit-coupled Bose-Einstein condensates (BECs) with symmetric spin interaction loaded into optical lattices. These simple but generic exact solutions provide an analytical demonstration of some intriguing properties which have neither an analog in the regular BEC lattice systems nor in the uniform spin-orbit-coupled BEC systems. It is an analytical example for understanding the superfluid and other related properties of the spin-orbit-coupled BEC lattice systems.