Bose-Einstein Condensation in Two-Dimensional Systems

H. B. Ghassib, Yahya F. Waqqad

Vanderlei Salvador Bagnato, Daniel Kleppner

We demonstrate the possibility of Bose-Einstein condensation (BEC) of an ideal Bose gas confined by one- and two-dimensional power-law traps. One-dimensional systems display BEC in traps that are more confining than parabolic: U(x)\ensuremath{\sim}${\mathit{x}}^{\mathrm{\ensuremath{\eta}}}$,\ensuremath{\eta}2. Two-dimensional systems display BEC for any finite value of \ensuremath{\eta}. A possible experimental configuration for a two-dimensional trap is described.

Leon Gunther, Y. Imry, David J. Bergman

Liu Chuan-yong

The discussion is made on the relation between the state density of systems and the dimensionality of Bose-Einstein Condensation(BEC),with the further stress laid on the analysis of low dimensional BEC under the influence of power-law potential and harmonic potential.The result is the non-production of low dimensional BEC with no external potential and the production of one-dimensional and two-dimensional BEC under the power of external potential.

Joseph V. Pulé

Zhang, Fan, Yin, Lan

Recent repoet on the formation of two-dimensional Bose-Einstein condensates (BECs) of spinning g-wave molecules is surprise. Here we study quantum phase transition in the quasi-2D atomic Bose gas with a g-wave Feshbach resonance, and show that there are two phase transitions in this system: from a phase with only a atomic Bose-Einstein condensate to a phase with coexistence of atomic and molecular condensation and from the coexistence phase to a phase with only a molecular Bose-Einstein condensate. We show that the g-wave resonance Feshbach has two features in the phase transitions, a phase with only a atomic Bose-Einstein condensate is no longer forbidden and resonance effects appear only at levels beyond the mean-field. We determine the T=0 beyond mean-field phase diagram of the gas as a function of magnetic field and molecular condensation density. We also detemine the ratio of atomic to molecular condensation in the coexistence phase, which can be tested in experiments.