Analytical pair correlations in ideal quantum gases: temperature-dependent bunching and antibunching

Bosse, J. ; Pathak, K. ; Singh, G. (2011) Analytical pair correlations in ideal quantum gases: temperature-dependent bunching and antibunching Physical Review E, 84 (4). 042101. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v84/i4/e042101

Related URL: http://dx.doi.org/10.1103/PhysRevE.84.042101

Abstract

The fluctuation-dissipation theorem together with the exact density response spectrum for ideal quantum gases has been utilized to yield a new expression for the static structure factor, which we use to derive exact analytical expressions for the temperature-dependent pair distribution function g(r) of the ideal gases. The plots of bosonic and fermionic g(r) display “Bose pile” and “Fermi hole” typically akin to bunching and antibunching as observed experimentally for ultracold atomic gases. The behavior of spin-scaled pair correlation for fermions is almost featureless, but bosons show a rich structure including long-range correlations near Tc. The coherent state at T=0 shows no correlation at all, just like single-mode lasers. The depicted decreasing trend in correlation with decrease in temperature for T<Tc should be observable in accurate experiments.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:96124
Deposited On:05 Dec 2012 06:47
Last Modified:05 Dec 2012 06:47

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