Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-09-15
Phys. Rev. E 84, 042101 (2011)
Physics
Condensed Matter
Quantum Gases
8 pages, 1 figure, minor revision
Scientific paper
10.1103/PhysRevE.84.042101
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 T_c. 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 < T_c should be observable in accurate experiments.
Bosse J.
Pathak K. N.
Singh Ghan Shyam
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