dorsal/arxiv
View SchemaAnalysis of localized Schmidt decomposition modes and of entanglement in atomic and optical quantum systems with continuous variables
| Authors | A. Yu. Bogdanov, Yu. I. Bogdanov, K. A. Valiev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507031 |
| URL | https://arxiv.org/abs/quant-ph/0507031 |
Abstract
We investigate the procedure of Schmidt modes extraction in systems with continuous variables. An algorithm based on singular value matrix decomposition is applied to the study of entanglement in an "atom-photon" system with spontaneous radiation. Also, this algorithm is applied to the study of a bi-photon system with spontaneous parametric down conversion with type-II phase matching for broadband pump. We demonstrate that dynamic properties of entangled states in an atom-photon system with spontaneous radiation are defined by a parameter equal to the product of the fine structure constant and the atom-electron mass ratio. We then consider the evolution of the system during radiation and show that the atomic and photonic degrees of freedom are entangling for the times of the same order of magnitude as the excited state life-time. Then the degrees of freedom are de-entangling and asymptotically approach to the level of small residual entanglement that is caused by momentum dispersion of the initial atomic packet.Finally, we investigate the process of coherence loss between modes in type-II parametric down conversion that is caused by non-linear crystal properties.
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"abstract": "We investigate the procedure of Schmidt modes extraction in systems with\ncontinuous variables. An algorithm based on singular value matrix decomposition\nis applied to the study of entanglement in an \"atom-photon\" system with\nspontaneous radiation. Also, this algorithm is applied to the study of a\nbi-photon system with spontaneous parametric down conversion with type-II phase\nmatching for broadband pump. We demonstrate that dynamic properties of\nentangled states in an atom-photon system with spontaneous radiation are\ndefined by a parameter equal to the product of the fine structure constant and\nthe atom-electron mass ratio. We then consider the evolution of the system\nduring radiation and show that the atomic and photonic degrees of freedom are\nentangling for the times of the same order of magnitude as the excited state\nlife-time. Then the degrees of freedom are de-entangling and asymptotically\napproach to the level of small residual entanglement that is caused by momentum\ndispersion of the initial atomic packet.Finally, we investigate the process of\ncoherence loss between modes in type-II parametric down conversion that is\ncaused by non-linear crystal properties.",
"arxiv_id": "quant-ph/0507031",
"authors": [
"A. Yu. Bogdanov",
"Yu. I. Bogdanov",
"K. A. Valiev"
],
"categories": [
"quant-ph"
],
"title": "Analysis of localized Schmidt decomposition modes and of entanglement in atomic and optical quantum systems with continuous variables",
"url": "https://arxiv.org/abs/quant-ph/0507031"
},
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