Semiclassical Wigner distribution for two-mode entangled state

Details Semiclassical Wigner distribution for two-mode entangled state Semiclassical Wigner distribution for two-mode entangled state

2011-07-13

arxiv.org/abs/1107.2667v1

Physical Review A 81, 043834 (2010)

Physics

Quantum Physics

9 pages, 5 figures. arXiv admin note: this contains the content of arXiv:0906.5316

Scientific paper

10.1103/PhysRevA.81.043834

We derive the steady state solution of the Fokker-Planck equation that describes the dynamics of the nondegenerate optical parametric oscillator in the truncated Wigner representation of the density operator. We assume that the pump mode is strongly damped, which permits its adiabatic elimination. When the elimination is correctly executed, the resulting stochastic equations contain multiplicative noise terms, and do not admit a potential solution. However, we develop an heuristic scheme leading to a satisfactory steady-state solution. This provides a clear view of the intracavity two-mode entangled state valid in all operating regimes of the OPO. A nongaussian distribution is obtained for the above threshold solution.

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