Canonical ensemble ground state and correlation entropy of Bose-Einstein condensate

abstract

• 2018 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Constraint of a fixed total number of particles yields a correlation between the fluctuation of particles in different states in the canonical ensemble. Here we show that, below the temperature of Bose-Einstein condensation (BEC), the correlation part of the entropy of an ideal Bose gas is cancelled by the ground-state contribution. Thus, in the BEC region, the thermodynamic properties of the gas in the canonical ensemble can be described accurately in a simplified model which excludes the ground state and assumes no correlation between excited levels.

authors

• Agarwal, Girish
• Scully, Marlan

published proceedings

• NEW JOURNAL OF PHYSICS

altmetric score

• 0.75

author list (cited authors)

• Svidzinsky, A., Kim, M., Agarwal, G., & Scully, M. O.

citation count

• 5

complete list of authors

• Svidzinsky, Anatoly||Kim, Moochan||Agarwal, Girish||Scully, Marlan O

publication date

• January 2018

publisher

• IOP Publishing  Publisher

published in

• New Journal of Physics  Journal

keywords

• Bose-einstein Condensate
• Canonical Ensemble
• Entropy

Digital Object Identifier (DOI)

• 10.1088/1367-2630/aa910a

start page

• 013002

end page

• 013002

volume

• 20

issue

• 1

URL

• http://dx.doi.org/10.1088/1367-2630/aa910a