Transient dynamics of linear quantum amplifiers

  • S. ManiscalcoEmail author
  • J. Piilo
  • N. Vitanov
  • S. Stenholm
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The transient dynamics of a quantum linear amplifier during the transition from damping to amplification regime is studied. The master equation for the quantized mode of the field is solved, and the solution is used to describe the statistics of the output field. The conditions under which a nonclassical input field may retain nonclassical features at the output of the amplifier are analyzed and compared to the results of earlier theories. As an application we give a dynamical description of the departure of the system from thermal equilibrium.


Spectroscopy Neural Network State Physics Complex System Nonlinear Dynamics 
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  1. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995) Google Scholar
  2. G. Lindblad, Commun. Math. Phys. 48, 119 (1976); V. Gorini, A. Kossakowski, E.C.G. Sudarshan, J. Math. Phys. 17, 821 (1976) CrossRefzbMATHMathSciNetADSGoogle Scholar
  3. R.J. Glauber, in Quantum Optics and Electronics, edited by C. de Witt, A. Blandin, C. Cohen-Tannoudji, Les Houches 1964 (Gordon and Breach, New York, 1965) Google Scholar
  4. R. Blatt, in Fundamental Systems in Quantum Optics, edited by J. Dalibard, J.M. Raymond, J. Zinn-Justin, Les Houches LIII, 1990 (Elsevier Science Publishers, Amsterdam, 1992) Google Scholar
  5. F. Intravaia, S. Maniscalco, A. Messina, Phys. Rev. A 67, 042108 (2003) CrossRefADSGoogle Scholar
  6. S. Maniscalco, F. Intravaia, J. Piilo, A. Messina, J. Opt. B: Quant. Semiclass. Opt. 6, S98 (2004) Google Scholar
  7. A. Bambini, R. Vallauri, M. Zoppi, Phys. Rev. A 12, 1713 (1975); F.A. Hopf, J. Bergou, S. Varró, Phys. Rev. A 34, 4821 (1986); C. Cabrillo et al., Phys. Rev. A 45, 3216 (1992); L. Schächter, J.A. Nation, Phys. Rev. A 45, 8820 (1992); V.M. Malkin, Yu.A. Tsidulko, N.J. Fisch, Phys. Rev. Lett. 85, 4068 (2000) CrossRefADSGoogle Scholar
  8. E. Tangdiongga et al., IEEE Photon. Technol. Lett. 14, 1196 (2002); S.H. Chang et al., IEEE Photon. Technol. Lett. 15, 906 (2003); M. Karasek et al., IEEE Photon. Technol. Lett. 16, 771 (2004); Y. Sun et al., Appl. Opt. 38, 1682 (1999) Google Scholar
  9. S.L. Braunstein et al., Phys. Rev. Lett. 86, 4938 (2001) ADSGoogle Scholar
  10. M.D. Lahaye et al., Science 304, 5667 (2004) Google Scholar
  11. M. Ahmad, S. Quamar, M.S. Zubairy, Phys. Rev. A 67, 043815 (2003) CrossRefADSGoogle Scholar
  12. M.S. Kim, Phys. Rev. A 56, 3175 (1997) ADSGoogle Scholar
  13. S. Stenholm, Phys. Scripta T 12, 55 (1986) ADSGoogle Scholar
  14. C.M. Caves, Phys. Rev. D 23, 1817 (1982) ADSGoogle Scholar
  15. S.M. Barnett, P.M. Radmore, Methods in Theoretical Quantum Optics (Clarendon Press, Oxford, 1997) Google Scholar
  16. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965) Google Scholar
  17. K. Matsuo, Phys. Rev. A 47, 3337 (1993) CrossRefADSGoogle Scholar
  18. I.S. Gradshtein, I.M. Ryzhik, Tables of Integrals, Series and Products (Academic Press Inc., San Diego, 1994) Google Scholar
  19. G.S. Agarwal, Phys. Rev A 3, 828 (1971) ADSGoogle Scholar
  20. S. Stenholm, J. Opt. Soc. Am. B 2, 1743 (1985) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Authors and Affiliations

  • S. Maniscalco
    • 1
    Email author
  • J. Piilo
    • 1
  • N. Vitanov
    • 2
  • S. Stenholm
    • 3
  1. 1.School of Pure and Applied Physics, University of KwaZulu-NatalDurbanSouth Africa
  2. 2.Department of PhysicsSofia UniversitySofiaBulgaria
  3. 3.Laser Physics and Quantum Optics, Royal Institute of Technology (KTH)StockholmSweden

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