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Fluctuation potential of the interaction between a neutral atom and a diffraction grating

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Abstract

We present a theoretical formalism for calculating the fluctuation potential of interaction between an anisotropic neutral atom in the ground state and a diffraction grating.

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References

  1. H. B. G. Casimir, Proc. K. Ned. Akad. Wetensc., 51, 793–795 (1948).

    Google Scholar 

  2. H. B. G. Casimir and D. Polder, Phys.Rev, 73, 360–372 (1948).

    Article  ADS  Google Scholar 

  3. Y. S. Barash and V. L. Ginzburg, Sov. Phys. Uspekhi, 18, 305–322 (1975); 27, 467–491 (1984).

    Article  ADS  Google Scholar 

  4. G. Plunien, B. Müller, and W. Greiner, Phys. Rep., 134, 87–193 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  5. K. A. Milton, J. Phys. A: Math. Gen., 37, R209–R277 (2004); arXiv:hep-th/0406024v1 (2004).

  6. R. L. Jaffe, Phys. Rev. D, 72,021301(2005); arXiv:hep-th/0503158v1 (2005).

    Article  ADS  Google Scholar 

  7. V. N. Marachevsky, J. Phys. A: Math. Theor., 45,374021(2012).

    Article  MathSciNet  Google Scholar 

  8. S. Scheel and S. Y. Buhmann, Acta Phys. Slovaca, 58, 675–809 (2008).

    Article  ADS  Google Scholar 

  9. S. Y. Buhmann, Dispersion Forces, Springer, Berlin (2012).

    Google Scholar 

  10. D. Fursaev and D. Vassilevich, Operators, Geometry, and Quanta: Methods of Spectral Geometry in Quantum Field Theory, Springer, Dordrecht (2011).

    Book  Google Scholar 

  11. E. M. Santangelo, Theor. Math. Phys., 131, 527–542 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  12. M. Bordag and I. Pirozhenko, Phys. Rev. D, 81,085023(2010); arXiv:0912.4047v2 [quant-ph] (2009).

    Article  ADS  Google Scholar 

  13. A. Lambrecht and V. N. Marachevsky, Phys. Rev. Lett., 101,160403(2008).

    Article  ADS  Google Scholar 

  14. A. Lambrecht and V. N. Marachevsky, Internat. J. Mod. Phys. A, 24, 1789–1795 (2009).

    Article  MATH  ADS  Google Scholar 

  15. H.-C. Chiu, G. L. Klimchitskaya, V. N. Marachevsky, V. M. Mostepanenko, and U. Mohideen, Phys. Rev. B, 80,121402(2009); 81,115417(2010).

    Article  ADS  Google Scholar 

  16. H. B. Chan, Y. Bao, J. Zou, R. A. Cirelli, F. Klemens, W. M. Mansfield, and C. S. Pai, Phys. Rev. Lett., 101,030401(2008).

    Article  ADS  Google Scholar 

  17. E. M. Lifshitz, Sov. Phys. JETP, 2, 73–83 (1956).

    MathSciNet  Google Scholar 

  18. V. V. Nesterenko and I. G. Pirozhenko, Phys. Rev. A, 86,052503(2012); arXiv:1112.2599v3 [quant-ph] (2011).

    Article  ADS  Google Scholar 

  19. A. W. Rodriguez, F. Capasso, and S. G. Johnson, Nature Photonics, 5, 211–221 (2011).

    Article  ADS  Google Scholar 

  20. V. N. Marachevsky and Yu. M. Pis’mak, Phys. Rev. D, 81,065005(2010).

    Article  ADS  Google Scholar 

  21. A. M. Contreras-Reyes, R. Guérout, P. A. M. Neto, D. A. R. Dalvit, A. Lambrecht, and S. Reynaud, Phys. Rev. A, 82,052517(2010); arXiv:1010.0170v2 [quant-ph] (2010).

    Article  ADS  Google Scholar 

  22. H. Bender, C. Stehle, C. Zimmermann, S. Slama, J. Fiedler, S. Scheel, S. Y. Buhmann, and V. N. Marachevsky, Phys. Rev. X, 4,011029(2014).

    Google Scholar 

  23. O. M. Rayleigh, Proc. Roy. Soc. A, 79, 399–416 (1907).

    Article  MATH  ADS  Google Scholar 

  24. V. N. Marachevsky, Theor. Math. Phys., 176, 929–936 (2013).

    Article  MATH  MathSciNet  Google Scholar 

  25. D. R. Maystre, ed., Selected Papers on Diffraction Gratings, SPIE, Bellingham, Wash. (1993)

    Google Scholar 

  26. R. Petit, ed., Electromagnetic Theory of Gratings, Springer, Berlin (1980)

  27. M. C. Hutley, Diffraction Gratings, Acad. Press, London (1982)

    Google Scholar 

  28. E. G. Loewen and E. Popov, Diffraction Gratings and Applications, Marcel Dekker, New York (1997).

    Google Scholar 

  29. L. Li, J. Opt. Soc. Amer. A, 13, 1870–1876 (1996).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Theoretical Physics, St. Petersburg State University, St. Petersburg, Russia

    V. N. Marachevsky

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  1. V. N. Marachevsky
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Correspondence to V. N. Marachevsky.

Additional information

This research was supported in part by St. Petersburg State University (Grant Nos. 11.38.237.2015 and 11.38.660.2013).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 185, No. 1, pp. 151–161, October, 2015.

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Marachevsky, V.N. Fluctuation potential of the interaction between a neutral atom and a diffraction grating. Theor Math Phys 185, 1492–1501 (2015). https://doi.org/10.1007/s11232-015-0358-z

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