NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice

Published

Author(s)

A M. Rey, Karen G. Burnett, R Roth, M Edwards, Carl J. Williams, Charles W. Clark

Abstract

We use the Bogoliubov theory of atoms in an optical lattice to the study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter wave interference patterns. We complement these findings by self-consistent Hartree-Fock-Bogoliubov-Popov calculations for one-dimensional lattices, including the effects of a parabolic trapping potential.
Citation
Journal of Physics B-Atomic Molecular and Optical Physics
Volume
36
Pub Type
Journals

Keywords

Bogoliubov, condensate, lattice, Mott transition, superfluid

Citation

Rey, A. , Burnett, K. , Roth, R. , Edwards, M. , Williams, C. and Clark, C. (2003), Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice, Journal of Physics B-Atomic Molecular and Optical Physics (Accessed October 27, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created January 1, 2003, Updated February 17, 2017
Was this page helpful?