Abstract
In the article we have solved the non-linear Jaynes-Cummings model (JCM) using the formalism incorporating the coherent-state propagators and the path-integral technique. In particular, we have obtained the propagators in the coherent and the occupation-number representations of the multiphoton JCM.
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Haroche S.:in New Trends in Atomic Physics (edited by Grynberg G., Stora R.). North-Holland, Amsterdam, 1984.
Haroche S., Raimond J. H.:in Advances in Atomic and Molecular Physics, vol. 20 (edited by Bates D. R., Bederson B.). Academic Press, New York, 1985.
Filipowicz P., Meystre P., Rempe G., Walther H.: Optica Acta32 (1985) 1105.
Meschede D., Walther H., Muller G.: Phys. Rev. Lett.54 (1985) 551.
Rempe G., Walther H., Klein N.: Phys. Rev. Lett.58 (1987) 353.
Jaynes E. T., Cummings F. W.: Proc. IEEE51 (1963) 89.
Allen L., Eberly J. H.: Optical Resonance and Two-level Atoms. J. Wiley and Sons, New-York, 1975.
Yoo H.-I., Eberly J. H.: Physics Reports118 (1985) 239.
Bloch F., Siegert A. J.: Phys. Rev.57 (1940) 522.
Agarwal G. S.: Quantum Statistical Theories of Spontaneous Emission and Their Relation Other Approaches. Springer Tracts in Modern Physics, vol. 70. Springer-Verlag, Berlin, 1974.
Slichter C. P.: Principles of Magnetic Resonance. Springer-Verlag, Berlin, 1978.
Lee T. D.: Phys. Rev.95 (1954) 1329.
Marshal J. T., Pell J. L.: Phys. Rev. D24 (1981) 394.
Glimm J., Jaffe J. L.: Quantum Physics. A Functional Integral Point of View. Springer-Verlag, New York, 1981.
Hillery M., Zubairy M. S.: Phys. Rev. A26 (1982) 451.
Lett P., Ghosh R., Friberg S., Mandel L.: Phys. Rev. A30 (1984) 890.
Zaheer K., Zubairy M. S.: Phys. Rev. A37 (1988) 1628.
Klauder J. R., Sudarshan E. C. G.: Fundamentals of Quantum Optics. W. A. Benjamin, Inc., New York, 1968.
Buck B., Sukumar C. V.: Phys. Lett. A81 (1981) 132.
Klauder J. R.: Ann. Phys. (N. Y.)11 (1960) 123.
Sukumar C. V., Buck B.: Phys. Lett. A83 (1981) 211.
Sukumar C. V., Buck B.: J. Phys. A17 (1984) 885.
Singh S.: Phys. Rev. A25 (1982) 3206.
Sunches-Mondragon J. J., Narozhny N. B., Eberly J. H.: Phys. Rev. Lett.51 (1983) 550.
Agarwal G. S.: Phys. Rev. Lett.53 (1984) 1732.
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BuŽek, V. On the non-linear Jaynes-Cummings model: The path-integral approach. Czech J Phys 39, 757–765 (1989). https://doi.org/10.1007/BF01598454
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DOI: https://doi.org/10.1007/BF01598454