dorsal/arxiv
View SchemaEffects of interatomic interaction on cooperative relaxation of two-level atoms
| Authors | Sergei P. Lukyanets, Dmytro A. Bevzenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607023 |
| URL | https://arxiv.org/abs/quant-ph/0607023 |
| DOI | 10.1103/PhysRevA.74.053803 |
| Journal | Phys. Rev. A 74, 053803 (2006) |
Abstract
We study effects of direct interatomic interaction on cooperative processes in atom-photon dynamics. Using a model of two-level atoms with Ising-type interaction as an example, it is demonstrated that interparticle interaction combined with atom-field coupling can introduce additional interatomic correlations acting as a phase synchronizing factor. For the case of weakly interacting atoms with $J<\hbar\omega_0$, where $J$ is the interparticle coupling constant and $\omega_0$ is the atomic frequency, dynamical regimes of cooperative relaxation of atoms are analyzed in Born-Markov approximation both numerically and using the mean field approximation. We show that interparticle correlations induced by the direct interaction result in inhibition of incoherent spontaneous decay leading to the regime of collective pulse relaxation which differs from superradiance in nature. For superradiant transition, the synchronizing effect of interatomic interaction is found to manifest itself in enhancement of superradiance. When the interaction is strong and $J>\hbar\omega_0$, one-partice one-photon transitions are excluded and transition to the regime of multiphoton relaxation occurs. Using a simple model of two atoms in a high-Q single mode cavity we show that such transition is accompanied by Rabi oscillations involving many-atom multiphoton states. Dephasing effect of dipole-dipole interaction and solitonic mechanism of relaxation are discussed.
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"abstract": "We study effects of direct interatomic interaction on cooperative processes\nin atom-photon dynamics. Using a model of two-level atoms with Ising-type\ninteraction as an example, it is demonstrated that interparticle interaction\ncombined with atom-field coupling can introduce additional interatomic\ncorrelations acting as a phase synchronizing factor. For the case of weakly\ninteracting atoms with $J\u003c\\hbar\\omega_0$, where $J$ is the interparticle\ncoupling constant and $\\omega_0$ is the atomic frequency, dynamical regimes of\ncooperative relaxation of atoms are analyzed in Born-Markov approximation both\nnumerically and using the mean field approximation. We show that interparticle\ncorrelations induced by the direct interaction result in inhibition of\nincoherent spontaneous decay leading to the regime of collective pulse\nrelaxation which differs from superradiance in nature. For superradiant\ntransition, the synchronizing effect of interatomic interaction is found to\nmanifest itself in enhancement of superradiance. When the interaction is strong\nand $J\u003e\\hbar\\omega_0$, one-partice one-photon transitions are excluded and\ntransition to the regime of multiphoton relaxation occurs. Using a simple model\nof two atoms in a high-Q single mode cavity we show that such transition is\naccompanied by Rabi oscillations involving many-atom multiphoton states.\nDephasing effect of dipole-dipole interaction and solitonic mechanism of\nrelaxation are discussed.",
"arxiv_id": "quant-ph/0607023",
"authors": [
"Sergei P. Lukyanets",
"Dmytro A. Bevzenko"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.053803",
"journal_ref": "Phys. Rev. A 74, 053803 (2006)",
"title": "Effects of interatomic interaction on cooperative relaxation of two-level atoms",
"url": "https://arxiv.org/abs/quant-ph/0607023"
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