The effect of interactions on Bose-Einstein condensation in a quasi two-dimensional harmonic trap

1999/08/31 by R. K. Bhaduri, S. M. Reimann, S. Viefers +2 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1088/0953-4075/33/19/304

extended version; to appear in J. Phys. B (special issue on BEC)

arxiv created 2000/04/06 · openalex publication_date 2000/09/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed phase as the temperature is lowered. Its density profile and energy are identical to that of an ideal gas obeying the fractional exclusion statistics of Haldane.

Citations

• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems

Cited by

• Number fluctuation in an interacting trapped gas in one and two dimensions
• Many-body physics with ultracold gases
• Critical numbers of attractive Bose-Einstein condensed atoms in asymmetric traps
• Exclusion statistics in a two-dimensional trapped Bose gas
• Fermionic ground state at unitarity and Haldane exclusion statistics