TY - JOUR
A1 - Schiefele, Jürgen
A1 - Henkel, Carsten
T1 - Casimir energy of a BEC : from moderate interactions to the ideal gas
N2 - 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.
Y1 - 2009
UR - http://iopscience.iop.org/1751-8121/
U6 - http://dx.doi.org/10.1088/1751-8113/42/4/045401
SN - 1751-8113
ER -