Abstract
We study the entanglement properties of a pair of two-level Rydberg atoms passing one after another into a lossless cavity with two modes. The initial joint state of two successive atoms that enter the cavity is unentangled. Interactions mediated by the cavity field results in the final two-atom mixed entangled type state. The entanglement of formation of the joint two-atom state as a function of the Rabi angle gt is calculated for Fock state field, coherent field and thermal field respectively inside the cavity. We present a comparative study of two-atom entanglement corresponding to the different field statistics.
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Nielson, M.A., Chuang, I.I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Bouwmeester, D., Ekert, A., Zeilinger, A. (eds.): The Physics of Quantum Information. Springer, Berlin (2000)
Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89 (1963)
Rempe, G., Walther, H., Klein, N.: Phys. Rev. Lett. 57, 353 (1987)
Kaluzny, Y., Goy, P., Gross, M., Raimond, J.M., Haroche, S.: Phys. Rev. Lett. 51, 1175 (1983)
Brune, M., Raimond, J.M., Goy, P., Davidovich, L., Haroche, S.: Phys. Rev. Lett. 59, 1899 (1987)
Benett, C.H., Bernstein, H.J., Popescrece, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)
Benett, C.H., Di Vincenzo, D.P., Smolin, J., Wootters, W.K.: Phys. Rev. A 54, 3824 (1996)
Vedral, V., Plenio, M.B.: Phys. Rev. A 57, 1619 (1998)
Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. Lett. 80, 5239 (1998)
Hill, S., Wootters, W.K.: Phys. Rev. Lett. 78, 5022 (1997)
Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)
Ghosh, B., Majumdar, A.S., Nayak, N.: Int. J. Quantum Inf. 5, 169 (2007)
Datta, A., Ghosh, B., Majumdar, A.S., Nayak, N.: Europhys. Lett. 67, 934 (2004)
Saha, P., Majumdar, A.S., Singh, S., Nayak, N.: Int. J. Quantum Inf. 8(8), 1397 (2010)
Gou, S.C.: Phys. Rev. A 40, 5116 (1989)
Ashraf, M.M.: Phys. Rev. A 50(6), 5116 (1994)
Singh, S.: Pramana 66, 615 (2006)
Tessier, T., Delgado, A., Fuentes-Guridi, I., Deutsch, I.H.: Phys. Rev. A 68, 062316 (2003)
Ghosh, B., Majumdar, A.S., Nayak, N.: Int. J. Theor. Phys. 13, 86 (2009)
Kim, M.S., Lee, J.-H., Ahn, D., Knight, P.L.: Phys. Rev. A 65, 040101 (2002)
Nayak, N.: Opt. Commun. 118, 114 (1995)
Nayak, N., Majumdar, A.S., Bartzis, V.: Nonlinear Opt. 24, 319 (2000)
Ghosh, B., Majumdar, A.S., Nayak, N.:. arXiv:quant-ph/0603039
Bashkirov, E.K., Stupatskaya, M.P.: Laser Phys. 19, 525 (2009)
Ghosh, B., Majumdar, A.S., Nayak, N.: Phys. Rev. A 74, 052315 (2006)
Acknowledgements
The first author (Sudha Singh) wishes to acknowledge the support from the University Grants Commission (UGC, New Delhi, India) in the form of a Major Research Project (F.No. 37-327/2009 (SR)).
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Singh, S., Amrita Effects of Cavity-Field Statistics on Atomic Entanglement in Two-Mode Jaynes-Cummings Model. Int J Theor Phys 52, 3874–3885 (2013). https://doi.org/10.1007/s10773-013-1697-x
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DOI: https://doi.org/10.1007/s10773-013-1697-x