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Two-point correlation function of a one-dimensional Bose gas in free expansion | I. E. Mazets
; T. Schumm
; J. Schmiedmayer
; | Date: |
10 Apr 2009 | Abstract: | We theoretically investigate the evolution of the two-point correlation
function of an ultra cold gas of bosonic atoms after the release from a tight
waveguide. The correlation function rapidly attains the values characteristic
for a non-degenerate gas: it reaches 2 for vanishing interparticle distance,
and is 1 for distances much larger than the typical correlation length $lambda
_c$. The associated timescale is on the order of $mlambda_c^2/hbar $. In the
strongly interacting gas regime $lambda_c$ is the mean interatomic distance,
in the opposite (weakly interacting) limit it is determined by both the mean
interparticle distance and the temperature of the gas. In the latter limit, the
correlation function, which is initially very close to 1 everywhere, locally
(at distances of about the correlation length) decreases to values
significantly below 1 in the course of evolution. | Source: | arXiv, 0904.1723 | Services: | Forum | Review | PDF | Favorites |
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