Josephson effect and self-trapping in helicoidal spin-orbit coupled Bose-Einstein condensates with optical lattices

TL;DR

This paper investigates Josephson oscillations and self-trapping phenomena in helicoidal spin-orbit coupled Bose-Einstein condensates within optical lattices, revealing how system parameters influence population dynamics and trapping behavior.

Contribution

It introduces a detailed analysis of population imbalance dynamics in helicoidal spin-orbit coupled BECs, highlighting the effects of gauge potential and lattice parameters on Josephson oscillations and self-trapping.

Findings

Josephson oscillation frequency decreases with increased helicoidal gauge potential.

Non-zero average population imbalance can lead to self-trapping.

Self-trapping is enhanced by higher helicoidal gauge potential and tuned lattice parameters.

Abstract

We consider matter-wave bright solitons in helicoidal spin-orbit coupled Bose-Einstein condensates in optical lattices with a view to study Josephson-type oscillation and self-trapping of population imbalance between two pseudo-spin states. For fixed values of nonlinear interaction and lattice parameters, the population imbalance executes Josephson-type oscillation and the frequency of oscillation decreases with the increase of helicoidal gauge potential. The frequency of oscillation, however, increases in presence of nonlinear optical lattices. We find that the population imbalance can oscillate about a non-zero value and result self-trapping for proper choices of parameters of the system. The self-trapping can be enhanced by the increase of helicoidal gauge potential and by properly tuning the lattice parameters.