Photon Statistics in Stimulated Raman Scattering of Squeezed Light

Stimulated Raman Scattering of Nonclassical Light by Squeezed Phonons

“…Using the above expressions the single-mode and compound mode cases can be discussed from the point of view of photon statistics in the same way as in [3]. All relevant equations to calculate the photon number distributions p(., t), its factorial moments (Wk (t)), quadrature variances ((Δq(t)) 2 ) and ((Δp(t)) 2 ) and the principal squeeze parameter λ(t) [10] have been given in section 2.1 and 2.2 of the paper [3] for single mode and compound mode cases, respectively. We mainly provide results in the form of reduced factorial moments for the compound modes involving the coupling of modes , i.e.…”

“…It is possible to develop a quantum description of Brillouin and Raman • scattering including photon statistics and correlation properties of photons and phonons using various approaches in the framework of both the Heisenberg and Schrödinger pictures (see e.g. [1][2][3][4] and references therein; a review can be found in [5]). In this paper we consider stimulated Raman scattering of squeezed and/or sub-Poisson light with additional noise components by squeezed phonons.…”

Quantum-statistical theory of Raman scattering processes

“…A detailed study of quantum statistics of the bilinear Hamiltonians, proposed by Louisell et al [41], has been extensively carried out e.g., Ref. [42][43][44][45][46][47][48][49][50] and applied to Raman scattering in particular by Mishkin and Walls [40], Walls [51,52], Peřina [53][54][55], Kárská and Peřina [56] and others. Walls [57] (see also Ref.…”

“…[93][94][95], as well as the reviews by Kielich et al [96], Leuchs [97], Loudon and Knight [98], Teich and Saleh [99,100], Zaheer and Zubairy [101] and the topical issues of the Journal of the Optical Society of America B [102] and the Journal of Modern Optics [103]. Squeezing properties of Raman scattering have been studied by Peřinová and et al Peřina, Kárská and Peřina [56], Levenson et al and Peřina and Křepelka [67,68]. Sub-Poissonian photon-counting statistics and/or photon anticorrelations (in particular antibunching) have been investigated within various approaches to the standing-wave Raman effect by Loudon [30], Simaan [75], Agarwal and Jha [87], Trung and Schütte [104], Szlachetka and Kielich [61], Szlachetka et al [58][59][60], Gupta and Mohanty [78,79], Peřina [53,54], Tänzler and Schütte [63], Germey et al [105], Mohanty et al [80], Král [106], Gupta and Dash [90,107], Ritsch et al [92] and in papers already mentioned [55,56,[65][66][67][68] (see also Ref.…”

“…We shall concentrate on a statistical analysis within the master equation approach to the Raman effect proposed by Shen [26], Walls [122] and McNeil and Walls [73]. This approach has been studied by various authors, e.g., Simaan [75], Schenzle and Brand [31], Peřina [23,53,54], Germey et al [105], Gupta and Dash [107], Bogolubov et al [88], Grygiel [83], Miranowicz [84], and Kárská and Peřina [56]. Usually a master equation is converted to a classical differential equation.…”