Exact diffusion equation for a model for superradiant emission

Master equation and its Fokker–Planck representation in two quantum interactions of radiators with squeezed field

“…The first equation is obtained for bad cavity limits for an atomic subsystem [1]. The second for a bi-photon field with good cavity limits.…”

“…The integration contour, C, is chosen so that the boundary terms obtained after integration by parts vanish Z master equations in the potential form, [1,13] Pð, Þ ¼ N expðÀFð, ÞÞ, we observe, that for arbitrary parameters and , the so-called potential condition for È(, )…”

“…The projection operator Ã(, ) is analytic in the (, ) plan. According to the definition of coherent states [1,12] for an atomic subsystem, we can use the coherent representation formed from the ground state j j, Àj i for the projection operator…”

“…The interaction between a nonlinear quantum oscillator (atoms, molecules and quasi-equidistant systems) and a coherent electromagnetic wave has been investigated by many researchers [1][2][3][4][5][6][7][8][9]. The Fokker-Plank description of cooperative phenomena for two-level systems interacting with a vacuum field, proposed by Narducci et al [1], remain an important contribution for the fundamental studying of such phenomena as super-radiance, cooperative resonance fluorescence, bi-stability and so on.…”

“…The Fokker-Plank description of cooperative phenomena for two-level systems interacting with a vacuum field, proposed by Narducci et al [1], remain an important contribution for the fundamental studying of such phenomena as super-radiance, cooperative resonance fluorescence, bi-stability and so on. In the good cavity limits, the quantum theory of optical masers developed by Scully and co-workers [2][3][4][5][6][7] opens up new frontiers in the investigation of a single-mode description of multilevel systems in cavities.…”