The effects of next to nearest neighbor hopping on Bose-Einstein condensation in cubic lattices

Abstract

In this paper, we present results of our calculations on the effects of next to nearest neighbor boson hopping ($t^{\prime }$) energy on Bose-Einstein condensation in cubic lattices. We consider both non-interacting and repulsively interacting bosons moving in the lowest Bloch band. The interacting bosons are studied making use of the Bogoliubov method. We find that the bose condensation temperature is enhanced with increasing $t^{\prime }$ for bosons in a simple cubic (sc) lattice and decreases for bosons in body-centered cubic (bcc) and face-centered cubic (fcc) lattices. We also find that interaction induced depletion of the condensate is reduced for bosons in a sc lattice while is enhanced for bosons in bcc and fcc lattices.

revised version, 10 pages with figures, intro and conclusions modified, more results added, references added

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Einstein Condensation in Magnetic Insulators
• Cold Bosons in Optical Lattices
• Bose-Einstein condensation in tight-binding bands
• Quantum phase transition in Bose-Holstein model in two dimensions