Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice

Authors

Ana Maria Rey, National Institute of Standards and Technology
Keith Burnett, University of OxfordFollow
Robert Roth, University of Oxford
Mark Edwards, Georgia Southern UniversityFollow
Carl J. Williams, National Institute of Standards and Technology
Charles W. Clark, National Institute of Standards and TechnologyFollow

Document Type

Article

Publication Date

2-14-2003

Publication Title

Journal of Physics B: Atomic, Molecular and Optical Physics

DOI

10.1088/0953-4075/36/5/304

ISSN

1361-6455

Abstract

We use the Bogoliubov theory of atoms in an optical lattice to 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.

Comments

CC BY-NC-SA licence

Recommended Citation

Rey, Ana Maria, Keith Burnett, Robert Roth, Mark Edwards, Carl J. Williams, Charles W. Clark. 2003. "Bogoliubov Approach to Superfluidity of Atoms in an Optical Lattice." Journal of Physics B: Atomic, Molecular and Optical Physics, 36 (5): 825-841: IOP Publishing. doi: 10.1088/0953-4075/36/5/304 source: https://iopscience.iop.org/article/10.1088/0953-4075/36/5/304
https://digitalcommons.georgiasouthern.edu/physics-facpubs/222