Cooperative Two-Quanta Phase Transitions in Quantum Optics and Superconductivity

Enaki, N. A.

doi:10.1007/s10909-010-0185-4

Cited by 1 publication

(3 citation statements)

References 14 publications

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“…QSDE (8) is additionally deter mined by the increment of the Poisson process; therefore, it is natural to term QSDE (8) and equa tions determined by it equations of non Wiener (non Brownian) type. However, QSDE (8) is also based on the Langevin conditions (7); therefore, they also can be termed Langevin QSDEs. In his first works on elu cidation of the role played by the Stark interaction in the spontaneous emission [1,2], the author also used the term "non Langevin equations" in order to emphasize their significant difference from similar equations in works [3-5, 13, 18].…”

Section: If Integralmentioning

confidence: 99%

“…1b), the two photon decay is a process that, at present, has not been amenable to rig orous theoretical analysis, which takes into account a considerable Stark interaction in the atomic ensemble. The authors of [6][7][8] studied the two photon superra diance of an ensemble of three level particles based on the methods of averaging and adiabatic elimination of the quasi resonant level. In [8], the phase transition in the system of excited atoms under conditions of two photon superradiance and an important analogy between the two photon superradiance and the super conductivity was described.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of [6][7][8] studied the two photon superra diance of an ensemble of three level particles based on the methods of averaging and adiabatic elimination of the quasi resonant level. In [8], the phase transition in the system of excited atoms under conditions of two photon superradiance and an important analogy between the two photon superradiance and the super conductivity was described. In this case, however, the kinetic equations that describe the two photon super radiance have not been considered, while the kinetic equations of two photonically superradiating atoms that were obtained in [6,7] proved to be similar to the kinetic equations that describe the ordinary superradi ance [9,10], which, in view of the results obtained in [1,2], seem to have a limited applicability range, since, in effect, the Stark interaction has not been taken into account.…”

Section: Introductionmentioning

confidence: 99%

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Langevin and generalized Langevin types of spontaneous emission of quantum particles

Башаров

2012

Opt. Spectrosc.

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In the effective Hamiltonian representation, we have obtained a quantum stochastic differential equation of a generalized Langevin type for the evolution operator of an atomic ensemble in a microcavity in an external broadband quantized field and in a nonresonant field of the microcavity. We show that, depending on the number of particles in the atomic ensemble, its dynamics demonstrates both the Langevin and the gen eralized Langevin types of the two photon spontaneous decay. In this case, one photon is emitted into the cavity mode, whereas the other photon is emitted into the external broadband electromagnetic field. The Langevin type is determined by a considerable Stark interaction of the atomic ensemble with the broadband photon free quantized field. We show that, here, the Stark interaction is represented by a quantized Poisson process and, depending on its magnitude (at certain numbers of atoms in the ensemble), the two photon col lective spontaneous emission of microcavity atoms can be completely suppressed. In this case, the two pho ton spontaneous emission of the singly excited atomic ensemble is described by the two level model, while E E → c ω Γ ω 1 Γ ω 2 Γ ω

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Section: If Integralmentioning

confidence: 99%