1973
DOI: 10.1088/0305-4470/6/4/014
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A master equation approach to the Raman effect

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Cited by 35 publications
(9 citation statements)
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“…Alternatively, an incident laser photon together with a phonon may be annihilated and create an anti-Stokes photon with the frequency oa = w1 +up. Therefore, the model Hamiltonian describing the above Raman scattering has the form (Walls 1970, 1973, von Forester and Glauber 1971 (2.9) (2.10) Thus we find that & ( t ) + &(t) + n*,(t) and n*,(t) + n*,(t) -&(t) are constants of motion in the Raman effect and are simultaneously satisfied for any time. The Heisenberg equations of motion (2.5)-(2.8) are coupled nonlinear equations.…”
Section: Hamiltonian Formulation Of Raman Scattering By Phononsmentioning
confidence: 96%
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“…Alternatively, an incident laser photon together with a phonon may be annihilated and create an anti-Stokes photon with the frequency oa = w1 +up. Therefore, the model Hamiltonian describing the above Raman scattering has the form (Walls 1970, 1973, von Forester and Glauber 1971 (2.9) (2.10) Thus we find that & ( t ) + &(t) + n*,(t) and n*,(t) + n*,(t) -&(t) are constants of motion in the Raman effect and are simultaneously satisfied for any time. The Heisenberg equations of motion (2.5)-(2.8) are coupled nonlinear equations.…”
Section: Hamiltonian Formulation Of Raman Scattering By Phononsmentioning
confidence: 96%
“…In the present paper we consider the possible existence of anticorrelation effects in stimulated and spontaneous Raman scattering between the incident laser and scattered field (Stokes and anti-Stokes radiation) and between photons and phonons. In our investigation, we P Szlachetka, S Kielich, J PeHna and V Pefinova apply the model Hamiltonian for Raman scattering suggested by Mollow and Glauber (1967) and extended to the trilinear case by Walls (1970). The Heisenberg equations of motion describing the dynamics of the Raman scattering are solved in the short-time approximation.…”
Section: Introductionmentioning
confidence: 99%
“…If the idler mode has a much larger dissipation than the other two photon modes ( ), the quantum master equation can be written as Here G is the coefficient of the effective Raman interaction in Refs. [ 43 , 44 , 45 ], and K is the coefficient of the non-degenerate Kerr effect [ 46 ]. If , the Kerr coefficient is and the signal mode has a parametric gain .…”
Section: Modelmentioning
confidence: 99%
“…If a single-mode strong coherent (classical) pumping is assumed, all one can expect is that the phase-matching conditions would have limited the number of active phonon modes to one. Nevertheless, it seems to be reasonable to consider the Raman scattering by an infinite Markoffian system of phonons 18,19 . In particular, it permits oneself to take into account the broadening of S and AS lines.…”
Section: Correlation Of Stokes and Anti-stokes Photonsmentioning
confidence: 99%