Equation of state for a trapped quantum gas: remnant of zero-point energy effects

Year: 2016

Authors: Castilho PCM., Poveda-Cuevas FJ., Seman JA., Shiozaki RF., Roati G., Muniz SR., Magalhaes DV., Bagnato VS.

Autors Affiliation: Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP, Brazil; Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-364, Mexico City 01000, DF, Mexico; Univ Florence, INO CNR, I-50019 Sesto Fiorentino, Italy; Univ Florence, LENS, I-50019 Sesto Fiorentino, Italy; Univ Sao Paulo, Escola Engn Sao Carlos, BR-13566590 Sao Carlos, SP, Brazil

Abstract: The study of the thermodynamic properties of trapped gases has attracted great attention during the last few years and can be used as a tool to characterize such clouds in the presence of other phenomena. Here, we obtain an equation of state for a harmonically trapped Bose-Einstein condensate taking the limit of T -> 0 by means of global themodynamic variables. These variables allow us to explore limits in which the standard thermodynamics are not defined. Our results are taken in the high density limit, and the extrapolation for N -> 1 is done later. Even in this situation, we qualitatively observe the well known existence of a zero-point energy for harmonic potentials in which the determination of conjugated variables is limited by the quantum nature of the system


Volume: 18      Pages from: 023014-1  to: 023014-6

KeyWords: Bose-Einstein condensate; trapped gases; thermodynamics
DOI: 10.1088/1367-2630/18/2/023014

Citations: 7
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