Critical fluctuations and entanglement in the nondegenerate parametric oscillator
arXiv:quant-ph/0310129 · doi:10.1103/PhysRevA.70.053807
Abstract
We present a fully quantum mechanical treatment of the nondegenerate optical parametric oscillator both below and near threshold. This is a non-equilibrium quantum system with a critical point phase-transition, that is also known to exhibit strong yet easily observed squeezing and quantum entanglement. Our treatment makes use of the positive P-representation and goes beyond the usual linearized theory. We compare our analytical results with numerical simulations and find excellent agreement. We also carry out a detailed comparison of our results with those obtained from stochastic electrodynamics, a theory obtained by truncating the equation of motion for the Wigner function, with a view to locating regions of agreement and disagreement between the two. We calculate commonly used measures of quantum behavior including entanglement, squeezing and EPR correlations as well as higher order tripartite correlations, and show how these are modified as the critical point is approached. In general, the critical fluctuations represent an ultimate limit to the possible entanglement that can be achieved in a nondegenerate parametric oscillator.
References in corpus (18)
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Continuous variable quantum cryptography using coherent states
- Continuous variable quantum cryptography
- Quantum cryptography with squeezed states
- Quantum Distribution of Gaussian Keys with Squeezed States
- Continuous Variable Quantum Cryptography - beating the 3 dB loss limit
- Generation of Continuous Variable Einstein-Podolsky-Rosen Entanglement via the Kerr Nonlinearity in an Optical Fibre
- An experimental investigation of criteria for continuous variable entanglement
- Quantum cryptography with a predetermined key, using continuous variable Einstein-Podolsky-Rosen correlations
- Quantum key distribution with bright entangled beams
- Narrowband frequency tunable light source of continuous quadrature entanglement
- Security of Continuous Variable Quantum Cryptography
- Quantum Communication with Correlated Nonclassical States
- Gauge P-representations for quantum-dynamical problems: Removal of boundary terms
- Stochastic Diagrams for Critical Point Spectra
- Stable nondegenerate optical parametric oscillation at degenerate frequencies in Na:KTP
- Quantum techniques using continuous variables of light
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