dorsal/arxiv
View SchemaCritical fluctuations and entanglement in the nondegenerate parametric oscillator
| Authors | K. Dechoum, P. D. Drummond, S. Chaturvedi, M. D. Reid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310129 |
| URL | https://arxiv.org/abs/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.
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"abstract": "We present a fully quantum mechanical treatment of the nondegenerate optical\nparametric oscillator both below and near threshold. This is a non-equilibrium\nquantum system with a critical point phase-transition, that is also known to\nexhibit strong yet easily observed squeezing and quantum entanglement. Our\ntreatment makes use of the positive P-representation and goes beyond the usual\nlinearized theory. We compare our analytical results with numerical simulations\nand find excellent agreement. We also carry out a detailed comparison of our\nresults with those obtained from stochastic electrodynamics, a theory obtained\nby truncating the equation of motion for the Wigner function, with a view to\nlocating regions of agreement and disagreement between the two. We calculate\ncommonly used measures of quantum behavior including entanglement, squeezing\nand EPR correlations as well as higher order tripartite correlations, and show\nhow these are modified as the critical point is approached. In general, the\ncritical fluctuations represent an ultimate limit to the possible entanglement\nthat can be achieved in a nondegenerate parametric oscillator.",
"arxiv_id": "quant-ph/0310129",
"authors": [
"K. Dechoum",
"P. D. Drummond",
"S. Chaturvedi",
"M. D. Reid"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.053807",
"title": "Critical fluctuations and entanglement in the nondegenerate parametric oscillator",
"url": "https://arxiv.org/abs/quant-ph/0310129"
},
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