The critical temperature Tc of an interacting Bose gas trapped in a general power-law potential is studied with the help of variational perturbation theory. We calculate the interaction-induced shift in Tc below second order in the scattering length and show that it can be decomposed into a perturbative and a nonperturbative contribution. Our result quantitatively shows how an increasingly inhomogeneous potential suppresses the influence of critical fluctuations. The analytical form of the nonperturbative term is explained qualitatively with the help of the Ginzburg criterion.
|Translated title of the contribution||Nonperturbative effects on the critical temperature of interacting Bose gases in power-law traps|
|Article number||Article no. 043614|
|Number of pages||10|
|Journal||Physical Review A: Atomic, Molecular and Optical Physics|
|Publication status||Published - Apr 2005|