A master equation approach to the Raman effect

Walls, D. F.

doi:10.1088/0305-4470/6/4/014

Cited by 35 publications

(9 citation statements)

References 15 publications

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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%

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Dynamics of anticorrelation effects in Raman scattering by phonons

Szlachetka¹,

Kielich²,

Peřina³

et al. 1979

J. Phys. A: Math. Gen.

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Abstract. Photan-photon and photon-phonon anticorrelation effects in Raman scattering are studied theoretically. The Heisenberg equations of motion describing Raman scattering are solved in the short-time approximation. The laser, Stokes, anti-Stokes and phonon modes are quantised. The joint normally ordered characteristic functions are evaluated for modes exhibiting anticorrelation effects. The problem of existence of a Glauber-Sudarshan quasi-distribution function related to anticorrelation effects is considered. The magnitude of the anticorrelation effects depends on the initial statistical properties of the photon and phonon modes.

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Section: Hamiltonian Formulation Of Raman Scattering By Phononsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Dynamics of anticorrelation effects in Raman scattering by phonons

Szlachetka¹,

Kielich²,

Peřina³

et al. 1979

J. Phys. A: Math. Gen.

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show abstract

“…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%

Entanglement and Photon Anti-Bunching in Coupled Non-Degenerate Parametric Oscillators

Inui¹,

Yamamoto

2021

Entropy

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We analytically and numerically show that the Hillery-Zubairy’s entanglement criterion is satisfied both below and above the threshold of coupled non-degenerate optical parametric oscillators (NOPOs) with strong nonlinear gain saturation and dissipative linear coupling. We investigated two cases: for large pump mode dissipation, below-threshold entanglement is possible only when the parametric interaction has an enough detuning among the signal, idler, and pump photon modes. On the other hand, for a large dissipative coupling, below-threshold entanglement is possible even when there is no detuning in the parametric interaction. In both cases, a non-Gaussian state entanglement criterion is satisfied even at the threshold. Recent progress in nano-photonic devices might make it possible to experimentally demonstrate this phase transition in a coherent XY machine with quantum correlations.

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“…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%

Statistics of Raman-active excitations via measurement of Stokes–anti-Stokes correlations

Müstecaplıoğlu

Shumovsky

1999

Phys. Rev. B

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A general fundamental relation connecting the correlation of Stokes and anti-Stokes modes to the quantum statistical behavior of vibration and pump modes in Raman-active materials is derived. We show that under certain conditions this relation can be used to determine the equilibrium number variance of phonons. Time and temperature ranges for which such conditions can be satisfied are studied and found to be available in todays' experimental standards. Furthermore, we examine the results in the presence of multi-mode pump as well as for the coupling of pump to the many vibration modes and discuss their validity in these cases.

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A master equation approach to the Raman effect

Cited by 35 publications

References 15 publications

Dynamics of anticorrelation effects in Raman scattering by phonons

Dynamics of anticorrelation effects in Raman scattering by phonons

Entanglement and Photon Anti-Bunching in Coupled Non-Degenerate Parametric Oscillators

Statistics of Raman-active excitations via measurement of Stokes–anti-Stokes correlations

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