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Theory for a Hanbury Brown Twiss experiment with a pulsed atomic beam

José Viana‐Gomes, A. Perrin, M. Schellekens, Denis Boiron, Christoph Ira Westbrook, Michael Scott Belsley

Published Jun 19, 2006• 0 citations
OpenAlex

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.

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In 1956, Hanbury Brown and Twiss performed their famous intensity-correlation experiment with two 'coherent' beams of light from a thermal source. They argued that such intensity-correlation must entail an excess of photon arrival-time coincidences over chance ones for the two beams, and went on (with Little) to demonstrate this in an experiment (Twiss, Little and Hanbury Brown 1957). About the same time, Brannen and Ferguson (1956) performed a photon-coincidence experiment with coherent thermal light, and obtained a null result (due to lack of sensitivity).

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Optics Express•Aug 18, 2010•29 citations
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.
We investigate the position- and momentum-space two-body correlations in a weakly interacting, harmonically trapped atomic Bose-Einstein condensed gas at low temperatures. The two-body correlations are computed within the Bogoliubov approximation and the consequences of the finite system size are highlighted in contrast to the spatially homogeneous case. In the position space, we recover the antibunching induced by the repulsive interatomic interaction in the condensed fraction localized around the trap center and the bunching in the outer thermal cloud. In the momentum space, bunching signatures appear for either equal or opposite values of the momentum and display peculiar features as a function of the momentum and the temperature. In analogy to the optical Hanbury-Brown and Twiss effect, the amplitude of the bunching signal at closeby momenta is fixed by the chaotic nature of the matter field state and its linewidth is shown to be set by the (inverse of the) finite spatial size of the associated in-trap momentum components. In contrast, the linewidth of the bunching signal at opposite momenta is only determined by the condensate size.
In 1956, Hanbury Brown and Twiss performed their famous intensity-correlation experiment with two 'coherent' beams of light from a thermal source. They argued that such intensity-correlation must entail an excess of photon arrival-time coincidences over chance ones for the two beams, and went on (with Little) to demonstrate this in an experiment (Twiss, Little and Hanbury Brown 1957). About the same time, Brannen and Ferguson (1956) performed a photon-coincidence experiment with coherent thermal light, and obtained a null result (due to lack of sensitivity).
We have used the Hanbury Brown-Twiss effect to directly compare the density correlations of a pulsed atom laser and a pulsed ultracold thermal source of metastable helium. It was found that the isotropic RF outcoupling of atoms from a Bose-Einstein condensate does not result in decoherence, while the 'bunching' typical of incoherent sources was observed for thermal atoms. This new method significantly increases data acquisition rates compared to previous measurements, and also permits future novel experiments which may allow us to probe processes such as the birth and death of a condensate by monitoring correlation effects.