A stochastic phase-space treatment of Bose gases in multimode and finite temperature systems

Bose-Einstein condensation (BEC) is a quantum phenomenon that happens when boson gases are cooled to temperatures close to absolute zero, the atoms lose almost all energy of motion and condense together in the lowest quantum state, forming a giant "matter-wave". Although the original theory predicted that BEC occurs at absolute zero temperature, in real experiments BEC occurs with thermal fluctuations and in multimode. Here, we introduce and modify an alternative theory that is capable of including these features in a statistical way. By including the correct amount of noise, calculating the dynamics of possible samples and averaging the results, the more detailed BEC features can be estimated from this method.