Density Fluctuations in Uniform Quantum Gases

Journal Article · Mon Dec 12 04:00:00 EST 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3653607· OSTI ID:21612362

Bosse, J ^[1]; Pathak, K N ^[2]; Singh, G S ^[3]

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1. Institute for Theoretical Physics, Freie Universitaet Berlin (Germany)
2. Department of Physics, Panjab University, Chandigarh (India)
3. Department of Physics, Indian Institute of Technology, Roorkee (India)

Analytical expressions are given for the static structure factor S(k) and the pair correlation function g(r) for uniform ideal Bose-Einstein and Fermi-Dirac gases for all temperatures. In the vicinity of Bose Einstein condensation (BEC) temperature, g(r) becomes long ranged and remains so in the condensed phase. In the dilute gas limit, g(r) of bosons and fermions do not coincide with Maxwell-Boltzmann gas but exhibit bunching and anti-bunching effect respectively. The width of these functions depends on the temperature and is scaled as {radical}(inverse atomic mass). Our numerical results provide the precise quantitative values of suppression/increase (antibunching and bunching) of the density fluctuations at small distances in ideal quantum gases in qualitative agreement with the experimental observation for almost non-trapped dilute gases.

• OSTI ID: 21612362
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1393; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSE-EINSTEIN CONDENSATION
BOSONS
COLLISIONS
CORRELATION FUNCTIONS
DENSITY
DIMENSIONLESS NUMBERS
DISTANCE
ELECTRON COLLISIONS
ELECTRON-ELECTRON COLLISIONS
FERMIONS
FLUCTUATIONS
FLUIDS
FUNCTIONS
GASES
PHYSICAL PROPERTIES
STRUCTURE FACTORS
TEMPERATURE DEPENDENCE
TEMPERATURE MEASUREMENT
TRAPPING
VARIATIONS