dorsal/arxiv
View SchemaQualitative aspects of the entanglement in the three-level model with photonic crystals
| Authors | Mahmoud Abdel-Aty |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506226 |
| URL | https://arxiv.org/abs/quant-ph/0506226 |
| DOI | 10.1007/s00340-005-1838-x |
Abstract
This communication is an enquiry into the circumstances under which concurrence and phase entropy methods can give an answer to the question of quantum entanglement in the composite state when the photonic band gap is exhibited by the presence of photonic crystals in a three-level system. An analytic approach is proposed for any three-level system in the presence of photonic band gap. Using this analytic solution, we conclusively calculate the concurrence and phase entropy, focusing particularly on the entanglement phenomena. Specifically, we use concurrence as a measure of entanglement for dipole emitters situated in the thin slab region between two semi-infinite one-dimensionally periodic photonic crystals, a situation reminiscent of planar cavity laser structures. One feature of the regime considered here is that closed-form evaluation of the time evolution may be carried out in the presence of the detuning and the photonic band gap, which provides insight into the difference in the nature of the concurrence function for atom-field coupling, mode frequency and different cavity parameters. We demonstrate how fluctuations in the phase and number entropies effected by the presence of the photonic-band-gap. The outcomes are illustrated with numerical simulations applied to GaAs. Finally, we relate the obtained results to instances of any three-level system for which the entanglement cost can be calculated. Potential experimental observations in solid-state systems are discussed and found to be promising.
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"abstract": "This communication is an enquiry into the circumstances under which\nconcurrence and phase entropy methods can give an answer to the question of\nquantum entanglement in the composite state when the photonic band gap is\nexhibited by the presence of photonic crystals in a three-level system. An\nanalytic approach is proposed for any three-level system in the presence of\nphotonic band gap. Using this analytic solution, we conclusively calculate the\nconcurrence and phase entropy, focusing particularly on the entanglement\nphenomena. Specifically, we use concurrence as a measure of entanglement for\ndipole emitters situated in the thin slab region between two semi-infinite\none-dimensionally periodic photonic crystals, a situation reminiscent of planar\ncavity laser structures. One feature of the regime considered here is that\nclosed-form evaluation of the time evolution may be carried out in the presence\nof the detuning and the photonic band gap, which provides insight into the\ndifference in the nature of the concurrence function for atom-field coupling,\nmode frequency and different cavity parameters. We demonstrate how fluctuations\nin the phase and number entropies effected by the presence of the\nphotonic-band-gap. The outcomes are illustrated with numerical simulations\napplied to GaAs. Finally, we relate the obtained results to instances of any\nthree-level system for which the entanglement cost can be calculated. Potential\nexperimental observations in solid-state systems are discussed and found to be\npromising.",
"arxiv_id": "quant-ph/0506226",
"authors": [
"Mahmoud Abdel-Aty"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s00340-005-1838-x",
"title": "Qualitative aspects of the entanglement in the three-level model with photonic crystals",
"url": "https://arxiv.org/abs/quant-ph/0506226"
},
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