Theories of dispersive optical bistability in cavities of finite extent indicate that strictly quantum (quantal) aspects need play no role (cf. eg.1). Correspondingly the Dicke model driven by a single mode coherent state field displays many wholly quantal features but does not show optical bistability2,3,4. This model, due to R.H. Dicke5, consists of N 2-level atoms on the same site and there is no cavity: in the coherent single mode field of amplitude Ω there is a phase transition in a thermodynamic limit in which N → ∞ and Ωγ-1 o→ ∞ in such a way that the order parameter Ɵ ∝ ΩN-1γ-1 o remains finite2,3: (γo is the A coefficient): as Ɵ increases the system moves from an atomic coherent state and zero quantum fluctuations in the collective inversion per atom to a state in which such quantum fluctuations are finite and have value 1/12 per atom: at the same time the intensity-intensity correlation function g(2)(0) for resonance fluorescence moves from 1 to 1.2, that is from coherence to partial coherence.
KeywordsCoherent State Cavity Mode Quantum Fluctuation Rydberg Atom Optical Bistability
Unable to display preview. Download preview PDF.
- 1.A. Dorsel, H. Walther, P. Meystre and E. Vignes, “Radiation Pressure induced optical bistability”, Paper FC4–1 in these Proceedings.Google Scholar
- 2c.S. S. Hassan, G. P. Hildred, R. R. Puri and R. K. Bullough, “The driven Dicke models” in: “Coherence and Quantum Optics 5”, L. Mandel and E. Wolf, eds., Plenum Press, New York (1983).Google Scholar
- 4.S. S. Hassan and R. K. Bullough in: “Optical Bistability”, C. M. Bowden, M. Ciftan and M. R. Robl, eds., Plenum Press, New York (1981).Google Scholar
- 7.R. R. Puri, G. P. Hildred, S. S. Hassan and R.K. Bullough, “Exact Quantum Theory for N Rydberg Atoms in a Cavity” in: “Coherence and Quantum Optics V”, L. Mandel and E. Wolf, eds., Plenum Press, New York (1983).Google Scholar
- 9.R. K. Bullough, S. S. Hassan, G.P. Hildred and R. R. Puri, “Mirrored and Mirrorless optical bistability: exact c-number theory of N atoms in a Fabry-Perot cavity”, paper in these proceedings (1983).Google Scholar
- 10.E. M. Purcell, Phys. Rev. 69:681 (1941).Google Scholar
- 16.P. D. Drummond, “Critical Quantum Fluctuations” in: “Optical Bistability”, Paper WD 3–1 in these proceedings.Google Scholar