Localized excitations at the Mott Insulator-Superfluid interfaces for confined Bose-Einstein condensates

TL;DR

This paper derives the dispersion relation of surface waves at Mott insulator-superfluid interfaces in confined Bose-Einstein condensates and explores their impact on heat capacity, providing a way to experimentally detect these phases.

Contribution

It introduces a theoretical framework for surface wave dispersion at phase interfaces and links it to measurable thermodynamic properties in Bose-Einstein condensates.

Findings

Derived the dispersion relation for surface waves at the interfaces.

Showed how these surface waves influence the heat capacity at low temperatures.

Proposed experimental tests for detecting Mott insulator-superfluid domains.

Abstract

In this paper we derive the dispersion relation of the surface waves at the interfaces between Mott insulating and Superfluid phases for confined Bose-Einstein Condensates. We then calculate their contribution to the heat capacity of the system and show how its low temperature scaling allows an experimental test of the existence and properties of Mott Insulator-Superfluid domains.