Two-body anticorrelation in a harmonically trapped ideal Bose gas
arXiv:1207.1278 · doi:10.1103/PhysRevA.86.023618
Abstract
We predict the existence of a dip below unity in the second-order coherence function of a partially condensed ideal Bose gas in harmonic confinement, signaling the anticorrelation of density fluctuations in the sample. The dip in the second-order coherence function is revealed in a canonical-ensemble calculation, corresponding to a system with fixed total number of particles. In a grand-canonical ensemble description, this dip is obscured by the occupation-number fluctuation catastrophe of the ideal Bose gas. The anticorrelation is most pronounced in highly anisotropic trap geometries containing small particle numbers. We explain the fundamental physical mechanism which underlies this phenomenon, and its relevance to experiments on interacting Bose gases.
arXiv comment10 pages, 5 figures. v2: Minor changes and corrections to figures and text. To appear in PRA
References in corpus (25)
- Feshbach Resonances in Ultracold Gases
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Regimes of quantum degeneracy in trapped 1D gases
- Probing many-body states of ultra-cold atoms via noise correlations
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Hanbury Brown Twiss effect for ultracold quantum gases
- Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
- Correlations and Counting Statistics of an Atom Laser
- Spatial coherence and density correlations of trapped Bose gases
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Yang-Yang thermodynamics on an atom chip
- Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
- Twin-atom beams
- Phase-fluctuating 3D condensates in elongated traps
- Condensate fluctuations of a trapped, ideal Bose gas
- Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
- The physics of Hanbury Brown--Twiss intensity interferometry: from stars to nuclear collisions
- Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates
- Two-point density correlations of quasicondensates in free expansion
- Condensate Fluctuations in Trapped Bose Gases: Canonical vs. Microcanonical Ensemble
- Hanbury Brown and Twiss correlations across the Bose-Einstein condensation threshold
- Spatial nonlocal pair correlations in a repulsive 1D Bose gas
- Theory for a Hanbury Brown Twiss experiment with a ballistically expanding cloud of cold atoms
- Many-body physics in the classical-field description of a degenerate Bose gas
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