Quantum phase transition in Bose-Einstein condensates with contact interaction

Feng Pan, Liaoning Normal University
J. P. Draayer, Louisiana State University


Entanglement and occupation probabilities along the yrast line in the interacting Bose-Einstein condensates with contact interaction in two dimension is studied for the angular momentum quantum number L ≤ n with the help of a simple improved Mathematica package. Results of the entanglement along the yrast line up to L = 6 and occupation probabilities for the yrast states up to L = 5 are calculated, which show that the system undergoes a quantum phase transition for all the yrast states, of which the total number of bosons serves as the control parameter. The critical point is near n = L + 1. © World Scientific Publishing Company.