On the nature of Bose-Einstein condensation enhanced by localization

Abstract

In a previous paper we established that for the perfect Bose gas and the mean-field Bose gas with an external random or weak potential, whenever there is generalized Bose-Einstein condensation in the eigenstates of the single particle Hamiltonian, there is also generalized condensation in the kinetic energy states. In these cases Bose-Einstein condensation is produced or enhanced by the external potential. In the present paper we establish a criterion for the absence of condensation in single kinetic energy states and prove that this criterion is satisfied for a class of random potentials and weak potentials. This means that the condensate is spread over an infinite number of states with low kinetic energy without any of them being macroscopically occupied.

References in corpus (1)

• On the nature of Bose-Einstein condensation in disordered systems

Cited by in corpus (6)

• Fluctuations of the Bose-Einstein condensate
• Disordered Bose Einstein Condensates with Interaction in One Dimension
• Bose--Einstein condensation in the Luttinger--Sy model with contact interaction
• On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength
• Exactness of the Bogoliubov approximation in random external potentials
• On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model