Abstract
Cooperative phenomena in far-from-equilibrium open systems are presently the object of an ever increasing interest [1]. At a phenomenological level they are described by a set of nonlinear equations with suitable damping terms. Just the interplay of nonlinearity and dissipation gives rise to a large variety of phenomena. Among them, one of the most interesting possibilities is the appearance of phase transitions in stationary nonequilibrium states.
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References
See e.g. a) P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley, New York, 1971). b) Synergetics, ed. by H. Haken ( Teubner, Stuttgart, 1973 ).
H. Haken, Handbuch der Physik, vol. XXV/2C (Springer-Verlag, Berlin, 1970 ).
M. Sargent III, M.O. Scully and W.E. Lamb,Jr., Laser Physics ( Addison-Wesley, Mass., 1974 ).
V. Degiorgio and M.O. Scully, Phys. Rev. A2, 1170 (1970).
R. Graham and H. Haken, Z. Physik 213, 420 (1968).
S.L. McCall, Phys. Rev. A9, 1515 (1974).
H.M. Gibbs, S.L. McCall and T.N.C. Venkatesan, Phys. Rev. Lett. 36, 1135 (1976).
R. Bonifacio and L.A. Lugiato, Phys. Rev. All, 1507 (1975); 12, 587 (1975).
I.e. neglecting factors 2 and assuming that γl ≃ γ11 ≃ γ, where γ11 is the longitudinal atomic relaxation rate.
B.R. Mollow, Phys. Rev. 188, 1969 (1969).
G. Oliver, E. Ressayre and A. Tallet, Lett. Nuovo Cimento 2, 777 (1971)
H.S. Carmichael and D.F. Walls, J. Phys. B 9, 1199 (1976).
R. Bonifacio and L.A. Lugiato, Opt. Comm. 19, 172 (1976).
R. Bonifacio and L.A. Lugiato, Phys. Rev. March-April, 1978.
I.I. Rabi, Phys. Rev. 51, 652 (1937).
R. Friedberg and S.R. Hartmann, Phys. Lett. 37A, 285 (1971).
Other Optical Systems in which nonlinear absorption gives rise to bistability are i) the laser with saturable absorber, see J.F. Scott, M. Sargent III, C.D. Cantrell, Opt. Comm. 15,13 (1975); ii) the dye laser, see S.T. Dembinski and A. Kossakowski, Z. Physik B24,141 (1976) and references quoted therein.
Actually in the experiment of Ref. 5 nonlinear dispersion is dominant over nonlinear absorption. For the sake of simplicity, as in Ref. 4, in the present paper we consider the purely absorptive case.
R. Landauer and S.W.F. Woo, in Ref. 1 (b).
Note in Eq. (4.2) that the shift ΩI coincides with that predicted by the one-atom theory [9] in the high intensity limit. Furthermore, for γ11= 2γ1 one sees that 2 Re\( \bar \lambda \) coincides with the width of the sidebands as predicted in Ref. 9.
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Bonifacio, R., Lugiato, L.A. (1978). Cooperative Effects in Optical Bistability and Resonance Fluorescence. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics IV. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0665-9_29
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DOI: https://doi.org/10.1007/978-1-4757-0665-9_29
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