Bogdan Opanchuk, Peter D. Drummond
We develop a method of simulating the full quantum dynamics of multi-mode multi-component Bose-Einstein condensates in a trap. We use the truncated Wigner representation to obtain a probabilistic theory that can be sampled. This method produces c-number stochastic equations that can be solved using conventional computational methods. The technique is valid for large mode occupation numbers. We give a detailed derivation of methods of functional Wigner representation appropriate for quantum fields. Our approach describes spatial evolution of spinor components and properly accounts for nonlinear losses.
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http://arxiv.org/abs/1210.1302
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