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Quantum Dynamics of the Dissipative Jaynes-Cummings Model Toward Thermal Equilibrium

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Coherence and Quantum Optics VII

Abstract

The Jaynes-Cummings (J-C) model [1] in the rotating wave approximation is one of the few exactly solvable quantum coupled systems. A two-level atom interacts with a single mode photon field near resonance. To describe the dissipative J-C model, the usual treatment couples two independent dissipative systems [2]. However, this kind of treatment cannot give the canonical distribution of the coupled system in thermal equilibrium [3].

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References

  1. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51 (1963) 89.

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  2. See for instance. B. W. Shore and P. L. Knight. J. Mod. Optics, 40 (1993), 1195. and references cited therein.

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  3. See for instance, R. Rubo, M. Toda and N. Hashitsume, Statistical Physics If. 89, (Springer-Verlag, Berlin Heidelberg. 19851’.

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  4. M. Murao and F. Shibata. to be published in Phvsica A.

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  6. Murao and F. Shibata, to be published irr Ph,ysica

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  8. C. Cohen-Tannoudji..1. Dupont-Roc, G. Grytilierg, Atom-Photon Intcraction.s: Basic Processes and Applications. ( John Wiley (ci Sons. hie.. New York Chichester, 1992 ).

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© 1996 Springer Science+Business Media New York

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Murao, M., Shibata, F. (1996). Quantum Dynamics of the Dissipative Jaynes-Cummings Model Toward Thermal Equilibrium. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9742-8_48

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  • DOI: https://doi.org/10.1007/978-1-4757-9742-8_48

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9744-2

  • Online ISBN: 978-1-4757-9742-8

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