Numerical representation of quantum states in the positive-P and Wigner representations

2009/06/22 by M. K. Olsen, A. S. Bradley · 2 citations
Physics and Astronomy · #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1016/j.optcom.2009.06.033

published as Optics Communications, 282, 3924 (2009) · 16 pages, single column format

arxiv created 2009/06/22 · arxiv updated 2015/05/13

Abstract

Numerical stochastic integration is a powerful tool for the investigation of quantum dynamics in interacting many body systems. As with all numerical integration of differential equations, the initial conditions of the system being investigated must be specified. With application to quantum optics in mind, we show how various commonly considered quantum states can be numerically simulated by the use of widely available Gaussian and uniform random number generators. We note that the same methods can also be applied to computational studies of Bose-Einstein condensates, and give some examples of how this can be done.

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