dorsal/arxiv
View SchemaNon-Markovian Quantum Fluctuations and Superradiance Near a Photonic Band Edge
| Authors | Nipun Vats, Sajeev John |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806038 |
| URL | https://arxiv.org/abs/quant-ph/9806038 |
| DOI | 10.1103/PhysRevA.58.4168 |
| Journal | Phys.Rev. A58 (1998) 4168-4185 |
Abstract
We discuss a point model for the collective emission of light from N two-level atoms in a photonic bandgap material, each with an atomic resonant frequency near the edge of the gap. In the limit of a low initial occupation of the excited atomic state, our system is shown to possess novel atomic spectra and population statistics. For a high initial excited state population, mean field theory suggests a fractionalized inversion and a macroscopic polarization for the atoms in the steady state, both of which can be controlled by an external d.c. field. This atomic steady state is accompanied by a non--zero expectation value of the electric field operators for field modes located in the vicinity of the atoms. The nature of homogeneous broadening near the band edge is shown to differ markedly from that in free space due to non-Markovian memory effects in the radiation dynamics. Non-Markovian vacuum fluctuations are shown to yield a partially coherent steady state polarization with a random phase. In contrast with the steady state of a conventional laser, near a photonic band edge this coherence occurs as a consequence of photon localization in the absence of a conventional cavity mode. We also introduce a classical stochastic function with the same temporal correlations as the electromagnetic reservoir, in order to stochastically simulate the effects of vacuum fluctuations near a photonic band edge.
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"abstract": "We discuss a point model for the collective emission of light from N\ntwo-level atoms in a photonic bandgap material, each with an atomic resonant\nfrequency near the edge of the gap. In the limit of a low initial occupation of\nthe excited atomic state, our system is shown to possess novel atomic spectra\nand population statistics. For a high initial excited state population, mean\nfield theory suggests a fractionalized inversion and a macroscopic polarization\nfor the atoms in the steady state, both of which can be controlled by an\nexternal d.c. field. This atomic steady state is accompanied by a non--zero\nexpectation value of the electric field operators for field modes located in\nthe vicinity of the atoms. The nature of homogeneous broadening near the band\nedge is shown to differ markedly from that in free space due to non-Markovian\nmemory effects in the radiation dynamics. Non-Markovian vacuum fluctuations are\nshown to yield a partially coherent steady state polarization with a random\nphase. In contrast with the steady state of a conventional laser, near a\nphotonic band edge this coherence occurs as a consequence of photon\nlocalization in the absence of a conventional cavity mode. We also introduce a\nclassical stochastic function with the same temporal correlations as the\nelectromagnetic reservoir, in order to stochastically simulate the effects of\nvacuum fluctuations near a photonic band edge.",
"arxiv_id": "quant-ph/9806038",
"authors": [
"Nipun Vats",
"Sajeev John"
],
"categories": [
"quant-ph",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.58.4168",
"journal_ref": "Phys.Rev. A58 (1998) 4168-4185",
"title": "Non-Markovian Quantum Fluctuations and Superradiance Near a Photonic Band Edge",
"url": "https://arxiv.org/abs/quant-ph/9806038"
},
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