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Exotic states in the dynamical Casimir effect

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Abstract

We consider the interaction of a qubit with a single mode of the quantized electromagnetic field and show that, in the ultrastrong coupling regime and when the qubit-field interaction is switched on abruptly, the dynamical Casimir effect leads to the generation of a variety of exotic states of the field, which cannot be simply described as squeezed states. Such effect is a consequence of the intrinsic nonlinearity of the qubit and also appears when initially both the qubit and the field are in their ground state. The non-classicality of the obtained exotic states is characterized by means of a parameter based on the volume of the negative part of the Wigner function. A transition to non-classical states is observed by changing either the interaction strength or the interaction time. The observed phenomena appear as a general feature of nonadiabatic quantum gates, so that the dynamical Casimir effect can be the origin of a fundamental upper limit to the maximum speed of quantum computation and communication protocols.

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References

  1. H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)

    MATH  Google Scholar 

  2. M.J. Sparnaay, Physica 24, 751 (1958)

    Article  ADS  Google Scholar 

  3. H.B. Chan, V.A. Aksyuk, R.N. Kleiman, D.J. Bishop, F. Capasso, Science 291, 1941 (2001)

    Article  ADS  Google Scholar 

  4. A. Lambrecht, S. Reynaud, Séminaire Poincaré 1, 79 (2002)

  5. S.K. Lamoreaux, Phys. Today 60, 40 (2007)

    Article  Google Scholar 

  6. G.T. Moore, J. Math. Phys. 11, 2679 (1970)

    Article  ADS  Google Scholar 

  7. V.V. Dodonov, Phys. Scr. 82, 038105 (2010)

    Article  ADS  Google Scholar 

  8. P.D. Nation, J.R. Johansson, M.P. Blencowe, F. Nori, Rev. Mod. Phys. 84, 1 (2012)

    Article  ADS  Google Scholar 

  9. W.G. Unruh, Phys. Rev. Lett. 46, 1351 (1981)

    Article  ADS  Google Scholar 

  10. S.W. Hawking, Commun. Math. Phys. 25, 152 (1972)

    Article  ADS  MathSciNet  Google Scholar 

  11. C.M. Wilson, G. Johansson, A. Pourkabirian, M. Simoen, J.R. Johansson, T. Duty, F. Nori, P. Delsing, Nature 479, 376 (2011)

    Article  ADS  Google Scholar 

  12. P. Lähteenmäki, G.S. Paraoanu, J. Hassel, P.J. Hakonen, Proc. Natl. Acad. Sci. 110, 4234 (2013)

    Article  ADS  Google Scholar 

  13. A. Blais, R.-S. Huang, A. Wallraff, S.M. Girvin, R.J. Schoelkopf, Phys. Rev. A 69, 062320 (2004)

    Article  ADS  Google Scholar 

  14. A. Wallraff, D.I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 162 (2004)

    Article  ADS  Google Scholar 

  15. C. Ciuti, G. Bastard, I. Carusotto, Phys. Rev. B 72, 115303 (2005)

    Article  ADS  Google Scholar 

  16. S. Ashhab, F. Nori, Phys. Rev. A 81, 042311 (2010)

    Article  ADS  Google Scholar 

  17. J. Hausinger, M. Grifoni, Phys. Rev. A 82, 062320 (2010)

    Article  ADS  Google Scholar 

  18. A.A. Anappara, S. De Liberato, A. Tredicucci, C. Ciuti, G. Biasiol, L. Sorba, F. Beltram, Phys. Rev. B 79, 201303 (2009)

    Article  ADS  Google Scholar 

  19. G. Günter, A.A. Anappara, J. Hees, A. Sell, G. Biasiol, L. Sorba, S. De Liberato, C. Ciuti, A. Tredicucci, A. Leitenstorfer, R. Huber, Nature 458, 178 (2009)

    Article  ADS  Google Scholar 

  20. S. De Liberato, D. Gerace, I. Carusotto, C. Ciuti, Phys. Rev. A 80, 053810 (2009).

    Article  ADS  Google Scholar 

  21. J.M. Raimond, M. Brune, S. Haroche, Rev. Mod. Phys. 73, 565 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  22. T. Niemczyk, F. Deppe, H. Huebl, E. Menzel, F. Hocke, M.J. Schwarz, J.J. García-Ripoll, D. Zueco, T. Hümmer, E. Solano, A. Marx, R. Gross, Nat. Phys. 6, 772 (2010)

    Article  Google Scholar 

  23. P. Forn-Díaz, J. Lisenfeld, D. Marcos, J.J. García-Ripoll, E. Solano, C.J.P.M. Harmans, J.E. Mooij, Phys. Rev. Lett. 105, 237001 (2010)

    Article  ADS  Google Scholar 

  24. G. Benenti, G. Casati, G. Strini, in Principles of Quantum Computation and Information, Basic concepts (World Scientific, Singapore, 2004), Vol. I

  25. G. Benenti, G. Casati, G. Strini, in Principles of Quantum Computation and Information, Basic tools and special topics (World Scientific, Singapore, 2007), Vol. II

  26. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)

  27. A. Kenfack, K. Życzkowski, J. Opt. B 6, 396 (2004)

    Article  ADS  Google Scholar 

  28. M.G. Benedict, A. Czirják, Phys. Rev. A 60, 4034 (1999)

    Article  ADS  Google Scholar 

  29. P. Meystre, M. Sargent III, Elements of Quantum Optics, 4th edn. (Springer-Verlag, Berlin, 2007)

  30. A.V. Dodonov, R. Lo Nardo, R. Migliore, A. Messina, V.V. Dodonov, J. Phys. B 44, 225502 (2011)

    Article  ADS  Google Scholar 

  31. A.V. Dodonov, V.V. Dodonov, Phys. Rev. A 85, 015805 (2012)

    Article  ADS  Google Scholar 

  32. V.V. Dodonov, J. Opt. B 4, R1 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  33. A. Kurcz, A. Capolupo, A. Beige, E. Del Giudice, G. Vitiello, Phys. Rev. A 81, 063821 (2010)

    Article  ADS  Google Scholar 

  34. C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Photons and Atoms: Introduction to Quantum Electrodynamics (Wiley, New York, 1997)

  35. I. Carusotto, S. De Liberato, D. Gerace, C. Ciuti, Phys. Rev. A 85, 023805 (2012)

    Article  ADS  Google Scholar 

  36. Y.M. Wang, D. Ballester, G. Romero, V. Scarani, E. Solano, Phys. Scr. T147, 014013 (2012)

    Article  Google Scholar 

  37. G. Benenti, S. Siccardi, G. Strini, Phys. Rev. A 88, 033814 (2013)

    Article  ADS  Google Scholar 

  38. G. Benenti, A. D’Arrigo, S. Siccardi, G. Strini, in preparation

  39. K. Nomoto, R. Fukuda, Progr. Theor. Phys. 86, 269 (1991)

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. CNISM and Center for Nonlinear and Complex Systems, Università degli Studi dell’Insubria, via Valleggio 11, 22100, Como, Italy

    Giuliano Benenti

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133, Milano, Italy

    Giuliano Benenti

  3. Department of Information Technologies, University of Milan, via Bramante 65, 26013, Crema, Italy

    Stefano Siccardi

  4. Department of Physics, University of Milan, via Celoria 16, 20133, Milano, Italy

    Giuliano Strini

Authors
  1. Giuliano Benenti
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  2. Stefano Siccardi
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  3. Giuliano Strini
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Correspondence to Giuliano Benenti.

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Benenti, G., Siccardi, S. & Strini, G. Exotic states in the dynamical Casimir effect. Eur. Phys. J. D 68, 139 (2014). https://doi.org/10.1140/epjd/e2014-50049-y

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  • DOI: https://doi.org/10.1140/epjd/e2014-50049-y

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