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Simulations of nonlinear quantum damping using the positive P representation

1989; American Institute of Physics; Volume: 39; Issue: 7 Linguagem: Inglês

10.1103/physreva.39.3511

0556-2791

Andrew Smith, C. W. Gardiner,

Advanced Thermodynamics and Statistical Mechanics

We present here an extensive study of the technique of numerical simulations, applied to the solution of a system of equations obtained by the positive P representation. The model we introduce to aid in these investigations has the distinct advantage of an immediate physical interpretation. In these simulations we experience the divergent trajectory or ``spike,'' noted by other authors; however, due to the simplicity of our equations, we are able to categorize and explain these spikes. Finally, we report a disturbing anomaly in some of the simulation results which indicates a possible problem with the use of the positive P representation.