We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate possible at finite temperatures describes super solid three dimensions (3D) for wide range of potentials the absence However, 2D, self-organized exists provided interaction between bosons nonlocal and infinitely long-range. interesting latter type potential presence lattice potential, th...

This paper is concerned with the complex behavior arising in satisfiability problems. We present a new statistical physics-based characterization of the satisfiability problem. Specifically, we design an algorithm that is able to produce graphs starting from a k–SAT instance, in order to analyze them and show whether a Bose-Einstein condensation occurs. We observe that, analogously to complex n...

Bose-Einstein condensation of cesium atoms is achieved by evaporative cooling using optical trapping techniques. The ability to tune the interactions between the ultracold atoms by an external magnetic field is crucial to obtain the condensate and offers intriguing features for potential applications. We explore various regimes of condensate self-interaction (attractive, repulsive, and null int...