dorsal/arxiv
View SchemaTransfer formalism for quantum optics problems
| Authors | V. N. Gorbachev, A. I. Zhiliba |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910013 |
| URL | https://arxiv.org/abs/quant-ph/9910013 |
| DOI | 10.1088/0305-4470/33/20/304 |
Abstract
Consistent quantum formalism based on the localized basis of the Wannirer functions in Heisenberg and Schrodinger pictures to describe propagation of electromagnetic field in a three dimensional media including diffraction is presented. In the Schrodinger picture the Fokker-Planck equation for the Glauber-Sudarshan quasiprobability and corresponding Langevin equations are given. As result the space-time description is obtained by a simple changing variables in the temporal master equation of the field. Using this formalism it is shown that the existence of integrals of motion in the propagation of light in a medium under the condition of nondegenerated parametric and two-photon interactions results in amplification of modes when nonclassical properties of the light are conserved. Quantum propagation of light in a linear medium taking into account the diffraction is considered and its solution is found.
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"abstract": "Consistent quantum formalism based on the localized basis of the Wannirer\nfunctions in Heisenberg and Schrodinger pictures to describe propagation of\nelectromagnetic field in a three dimensional media including diffraction is\npresented. In the Schrodinger picture the Fokker-Planck equation for the\nGlauber-Sudarshan quasiprobability and corresponding Langevin equations are\ngiven. As result the space-time description is obtained by a simple changing\nvariables in the temporal master equation of the field. Using this formalism it\nis shown that the existence of integrals of motion in the propagation of light\nin a medium under the condition of nondegenerated parametric and two-photon\ninteractions results in amplification of modes when nonclassical properties of\nthe light are conserved. Quantum propagation of light in a linear medium taking\ninto account the diffraction is considered and its solution is found.",
"arxiv_id": "quant-ph/9910013",
"authors": [
"V. N. Gorbachev",
"A. I. Zhiliba"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/33/20/304",
"title": "Transfer formalism for quantum optics problems",
"url": "https://arxiv.org/abs/quant-ph/9910013"
},
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