Semiclassical Wigner distribution for two-mode entangled state
arXiv:1107.2667 · doi:10.1103/PhysRevA.81.043834
Abstract
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.
9 pages, 5 figures. arXiv admin note: this contains the content of arXiv:0906.5316
References in corpus (6)
- Experimental demonstration of three-color entanglement
- Generation of Bright Two-Color Continuous Variable Entanglement
- Direct Production of Tripartite Pump-Signal-Idler Entanglement in the Above-Threshold Optical Parametric Oscillator
- Critical fluctuations and entanglement in the nondegenerate parametric oscillator
- Entanglement in the above-threshold optical parametric oscillator
- Quantum analysis of the nondegenerate optical parametric oscillator with injected signal
Cited by in corpus (7)
- A Quantum Model for Coherent Ising Machine: Stochastic Differential Equations with Replicator Dynamics
- Violating Bell inequalities with entangled optical frequency combs and multi-pixel homodyne detection
- Dawn and fall of non-Gaussianity in the quantum parametric oscillator
- Exploring entanglement in open cavity parametric oscillators: from triply to doubly resonant cavities
- Bell inequality violation and operator ordering in quantum theory
- Nonlinear Ringdowns as Sources and Detectors of Quantum Gravitational Waves
- Cauchy-Schwarz characterization of tripartite quantum correlations in an optical parametric oscillator