Solitons in Trapped Bose-Einstein condensates in one-dimensional optical lattices

TL;DR

This paper uses Quantum Monte Carlo simulations to investigate solitons in one-dimensional trapped Bose-Einstein condensates, revealing their formation, properties, and coexistence with other phases in optical lattices.

Contribution

It demonstrates the presence of solitons in the soft-core bosonic Hubbard model with traps and analyzes their properties and implications for BECs in optical lattices.

Findings

Solitons form when the half-filled CDW phase is doped.

Quasi long-range order is established in the doped phase.

Density profiles show coexistence of Mott insulator, CDW, and superfluid regions.

Abstract

We use Quantum Monte Carlo simulations to show the presence and study the properties of solitons in the one dimensional soft-core bosonic Hubbard model with near neighbor interaction in traps. We show that when the half-filled Charge Density Wave (CDW) phase is doped, solitons are produced and quasi long range order established. We discuss the implications of these results for the presence and robustness of this solitonic phase in Bose-Einstein Condensates (BEC) on one dimensional optical lattices in traps and study the associated excitation spectrum. The density profile exhibits the coexistence of Mott insulator, CDW, and superfluid regions.