Bose–Einstein condensation shown by Monte Carlo simulation

Chongshan Zhang, Kwangsik T. Nho, D. P. Landau

Matt Kalinski

The recent prediction of supersolid formation in Bose-Einstein condensate has been done only within Gross-Pitaevskii mean field method. We use the exact Diffusion Monte Carlo method to simulate formation of supersolid the Bose Einstein condensate.

Dr Md Enamul Hoque

Bose-Einstein condensation has been attained using Monte Carlo simulation on non-interacting ideal bosons confined in a harmonic potential trap at near-zero temperature (~0K). A connection has been established between the cyclic paths originated by the interchange of identical bosons and condensation. At low temperatures, long cycles appear and condensation is obtained consequently. The simulated result is in perfect agreement with the corresponding theoretical findings.

Elena Cerboneschi, Carlo Menchini, E. Arimondo

We present a Monte Carlo method for the direct simulation of evaporative cooling and the formation of the Bose-Einstein condensate of magnetically trapped atoms. The motion of the atoms in the trap is treated classically, while quantum-mechanical probability is used to describe binary elastic collisions between bosons. Two implementations of Bose statistics in the frame of a classical Monte Carlo simulation have been developed. The one involves the evaluation of the number of quantum states in single-atom phase space and the other makes use of the quantum degeneracy of energy bands. Both techniques give results compatible with the analytic results for an ideal trapped Bose gas and with the theory of a weakly interacting Bose gas, as concerns the equilibrium condensate fraction. Our simulation method also makes it possible to study the dynamic formation of the condensate, giving characteristic condensation times consistent with the experiments.

M. Fukuda