Localization of a dipolar Bose-Einstein condensate in a bichromatic optical lattice

TL;DR

This paper investigates the localization of a dipolar Bose-Einstein condensate in a three-dimensional bichromatic optical lattice using numerical and variational methods, revealing conditions for stable localized states.

Contribution

It provides a detailed analysis of localization phenomena in dipolar BECs within bichromatic optical lattices, including a phase diagram of stability regions.

Findings

Localized states with exponential tails are achievable for certain interactions.

A phase diagram of stability regions for the condensate is constructed.

Stable localized states can be formed with around 1000 atoms under specific conditions.

Abstract

By numerical simulation and variational analysis of the Gross-Pitaevskii equation we study the localization, with an exponential tail, of a dipolar Bose-Einstein condensate (DBEC) of $^{52}$Cr atoms in a three-dimensional bichromatic optical-lattice (OL) generated by two monochromatic OL of incommensurate wavelengths along three orthogonal directions. For a fixed dipole-dipole interaction, a localized state of a small number of atoms ($\sim 1000$) could be obtained when the short-range interaction is not too attractive or not too repulsive. A phase diagram showing the region of stability of a DBEC with short-range interaction and dipole-dipole interaction is given.