Ground-state properties of a Tonks-Girardeau gas in a split trap
Loading...
Files
Published Version
Date
2008
Authors
Goold, John
Busch, Thomas
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Published Version
Abstract
We determine the exact many-body properties of a bosonic Tonks-Girardeau gas confined in a harmonic potential with a tunable delta-function barrier at the trap center. This is done by calculating the reduced single-particle density matrix, the pair-distribution function, and the momentum distribution of the gas as a function of barrier strength and particle number. With increasing barrier height we find that the ground-state occupation in a diagonal basis diverges from the root N behavior that is expected for the case of a simple harmonic trap. In fact, the scaling of the occupation number depends on whether one has an even or odd number of particles. Since this quantity is a measure of the coherence of our sample we show how the odd-even effect manifests itself in both the momentum distribution of the Bose gas and interference fringe visibility during free temporal evolution.
Description
Keywords
Impenetrable bosons , Atoms , Systems
Citation
Goold, J. and Busch, T. (2008) 'Ground-state properties of a Tonks-Girardeau gas in a split trap', Physical Review A, 77(6), 063601 (7pp). doi: 10.1103/PhysRevA.77.063601
Link to publisher’s version
Collections
Copyright
© 2008, American Physical Society