• search hit 1 of 1
Back to Result List

Casimir energy of a BEC : from moderate interactions to the ideal gas

  • Considering the Casimir effect due to phononic excitations of a weakly interacting dilute Bose-Einstein condensate ( BEC), we derive a renormalized expression for the zero-temperature Casimir energy E-C of a BEC confined to a parallel plate geometry with periodic boundary conditions. Our expression is formally equivalent to the free energy of a bosonic field at finite temperature, with a nontrivial density of modes that we compute analytically. As a function of the interaction strength, E-C smoothly describes the transition from the weakly interacting Bogoliubov regime to the non- interacting ideal BEC. For the weakly interacting case, E-C reduces to leading order to the Casimir energy due to zero- point fluctuations of massless phonon modes. In the limit of an ideal Bose gas, our result correctly describes the Casimir energy going to zero.

Export metadata

Additional Services

Share in Twitter Search Google Scholar Statistics
Author:Jürgen Schiefele, Carsten Henkel
Document Type:Article
Year of first Publication:2009
Year of Completion:2009
Release Date:2017/03/25
Source:Journal of physics A. - ISSN 1751-8113. - 42 (2009), 4, Art. 045401
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert