dorsal/arxiv
View SchemaQuantum Theory for Generation of Nonclassical Photon Pairs by a Medium with Coherent Atomic Memory
| Authors | Narek Sisakyan, Yuri Malakyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503186 |
| URL | https://arxiv.org/abs/quant-ph/0503186 |
| DOI | 10.1103/PhysRevA.72.043806 |
Abstract
We present a fully quantum mechanical treatment of recent experiments on creation of collective quantum memory and generation of non-classically correlated photon pairs from an atomic ensemble via the protocol of Duan et al. [Nature {\bf 414,} 413(2001)]. The temporal evolution of photon numbers, photon statistics and cross-correlation between the Stokes and anti-Stokes fields is found by solving the equation of motion for atomic spin-wave excitations. We consider a low-finesse cavity model with collectively enhanced signal-to-noise ratio, which remains still considerably large in the free-space limit. Our results describe analytically the dependence of quantum correlations on spin decoherence time and time-delay between the write and read lasers and reproduce the observed data very well including the generated pulse shapes, strong violation of Cauchy-Schwarz inequality and conditional generation of anti-Stokes single-photon pulse. The theory we developed may serve as a basic approach for quantum description of storage and retrieval of quantum information, especially when the statistical properties of non-classical pulses are studied.
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"abstract": "We present a fully quantum mechanical treatment of recent experiments on\ncreation of collective quantum memory and generation of non-classically\ncorrelated photon pairs from an atomic ensemble via the protocol of Duan et al.\n[Nature {\\bf 414,} 413(2001)]. The temporal evolution of photon numbers, photon\nstatistics and cross-correlation between the Stokes and anti-Stokes fields is\nfound by solving the equation of motion for atomic spin-wave excitations. We\nconsider a low-finesse cavity model with collectively enhanced signal-to-noise\nratio, which remains still considerably large in the free-space limit. Our\nresults describe analytically the dependence of quantum correlations on spin\ndecoherence time and time-delay between the write and read lasers and reproduce\nthe observed data very well including the generated pulse shapes, strong\nviolation of Cauchy-Schwarz inequality and conditional generation of\nanti-Stokes single-photon pulse. The theory we developed may serve as a basic\napproach for quantum description of storage and retrieval of quantum\ninformation, especially when the statistical properties of non-classical pulses\nare studied.",
"arxiv_id": "quant-ph/0503186",
"authors": [
"Narek Sisakyan",
"Yuri Malakyan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.043806",
"title": "Quantum Theory for Generation of Nonclassical Photon Pairs by a Medium with Coherent Atomic Memory",
"url": "https://arxiv.org/abs/quant-ph/0503186"
},
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