Theory for a Hanbury Brown Twiss experiment with a ballistically expanding cloud of cold atoms

Abstract

We have studied one-body and two-body correlation functions in a ballistically expanding, non-interacting atomic cloud in the presence of gravity. We find that the correlation functions are equivalent to those at thermal equilibrium in the trap with an appropriate rescaling of the coordinates. We derive simple expressions for the correlation lengths and give some physical interpretations. Finally a simple model to take into account finite detector resolution is discussed.

References in corpus (11)

• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Bosonizing one-dimensional cold atomic gases
• Hanbury Brown Twiss effect for ultracold quantum gases
• Extension of Bogoliubov theory to quasi-condensates
• Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
• Correlations and Counting Statistics of an Atom Laser
• Observations of density fluctuations in an elongated Bose gas: ideal gas and quasi-condensate regimes
• Direct experimental evidence of free fermion antibunching
• High-Contrast Interference in a Thermal Cloud of Atoms
• Coherence properties of the two-dimensional Bose-Einstein condensate
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Cited by in corpus (32)

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• A proposal for measuring correlation functions in interacting gases
• Chaoticity parameter $\lambda$ in two-pion interferometry in an expanding boson gas model
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• Density ripples in expanding low-dimensional gases as a probe of correlations
• $n$-body anti-bunching in a degenerate Fermi gas of ${}^3$He* atoms
• Partially coherent matter wave and its evolution
• Chaotic parameter $\lambda$ in Hanbury-Brown-Twiss interferometry in an anisotropic boson gas model
• Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions
• Quantum Correlations of Ideal Bose and Fermi Gases in the Canonical Ensemble
• Density fluctuations in a quasi-one-dimensional Bose gas as observed in free expansion
• The role of self-coherence in correlations of bosons and fermions in linear counting experiments. Notes on the wave-particle duality
• All-order momentum correlations of three ultracold bosonic atoms confined in triple-well traps: Signatures of emergent many-body quantum phase transitions and analogies with three-photon quantum-optics interference
• Single-Event Handbury-Brown-Twiss Interferometry
• Context-Dependent Time-Energy Uncertainty Relations from Projective Quantum Measurements
• Quantum interference in the time-of-flight distribution