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Quantum Cherenkov radiation at the relative sliding of two transparent plates

  • Optics and Laser Physics
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Abstract

Quantum Cherenkov radiation and quantum friction at the relative sliding of two transparent plates with the refractive index n have been studied in a fully relativistic theory. Radiation appears at velocities above the threshold value, v > v c = 2nc/(n 2 + 1). The contribution from s-polarized electromagnetic waves dominates near the threshold velocity. However, in the ultrarelativistic case (vc), contributions from both polarizations are much larger than those in a nonrelativistic theory and a new contribution from the mixing of waves with different polarizations appears. The numerical results are supplemented by analytical calculations near the threshold velocity and the speed of light.

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References

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

    Google Scholar 

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

    MathSciNet  Google Scholar 

  3. Casimir Physics, Ed. by D. A. R. Dalvit, P. Milonni, D. Roberts, and F. da Rose (Springer, Berlin, 2011).

  4. J. B. Pendry, J. Mod. Opt. 45, 2389 (1998).

    Article  ADS  Google Scholar 

  5. J. B. Pendry, J. Phys.: Condens. Matter 9, 10301 (1997).

    ADS  Google Scholar 

  6. A. I. Volokitin and B. N. J. Persson, J. Phys.: Condens. Matter 11, 345 (1999).

    ADS  Google Scholar 

  7. A. I. Volokitin and B. N. J. Persson, Phys. Rev. Lett. 91, 106101 (2003).

    Article  ADS  Google Scholar 

  8. A. I. Volokitin and B. N. J. Persson, Phys. Rev. B 68, 155420 (2003).

    Article  ADS  Google Scholar 

  9. A. I. Volokitin and B. N. J. Persson, Phys. Rev. B 78, 155437 (2008).

    Article  ADS  Google Scholar 

  10. A. I. Volokitin and B. N. J. Persson, Phys. Rev. Lett. 106, 094502 (2011).

    Article  ADS  Google Scholar 

  11. A. I. Volokitin and B. N. J. Persson, Rev. Mod. Phys. 79, 1291 (2007).

    Article  ADS  Google Scholar 

  12. M. S. Tomassone and A. Widom, Phys. Rev. B 56, 4938 (1997).

    Article  ADS  Google Scholar 

  13. A. I. Volokitin and B. N. J. Persson, Phys. Rev. B 65, 115419 (2002).

    Article  ADS  Google Scholar 

  14. G. V. Dedkov and A. A. Kyasov, Phys. Lett. A 339, 212 (2005).

    Article  ADS  Google Scholar 

  15. G. V. Dedkov and A. A. Kyasov, J. Phys.: Condens. Matter 20, 354006 (2008).

    Google Scholar 

  16. G. Barton, New J. Phys. 12, 113045 (2010).

    Article  ADS  Google Scholar 

  17. J. S. Høye and I. Brevik, Entropy 15, 3045 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  18. J. S. Høye and I. Brevik, Eur. Phys. J. D 68, 61 (2014).

    Article  ADS  Google Scholar 

  19. M. F. Maghrebi, R. Golestanian, and M. Kardar, Phys. Rev. D 87, 025016 (2013).

    Article  ADS  Google Scholar 

  20. F. Intravaia, R. O. Behunin, and D. A. R. Dalvit, Phys. Rev. A 89, 050101(R) (2014).

    Article  ADS  Google Scholar 

  21. A. I. Volokitin and B. N. J. Persson, New J. Phys. 16, 118001 (2014).

    Article  ADS  Google Scholar 

  22. G. Pieplow and C. Henkel, New J. Phys. 15, 023027 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  23. G. Pieplow and C. Henkel, J. Phys.: Condens. Matter 27, 214001 (2015).

    ADS  Google Scholar 

  24. V. Mkrtchian, V. A. Parsegian, R. Podgornik, and W. M. Saslow, Phys. Rev. Lett. 91, 220801 (2003).

    Article  ADS  Google Scholar 

  25. G. V. Dedkov and A. A. Kyasov, Nucl. Instrum. Meth. Phys. Res. B 268, 599 (2010).

    Article  ADS  Google Scholar 

  26. G. Lach, M. DeKieviet, and U. D. Jentschura, Phys. Rev. Lett. 108, 043005 (2012).

    Article  ADS  Google Scholar 

  27. U. D. Jentschura, G. Lach, M. de Kieviet, and K. Pachucki, Phys. Rev. Lett. 114, 043001 (2015).

    Article  ADS  Google Scholar 

  28. A. I. Volokitin, Phys. Rev. A 91, 032505 (2015).

    Article  ADS  Google Scholar 

  29. T. J. Gramila, J. P. Eisenstein, A. H. MacDonald, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 66, 1216 (1991).

    Article  ADS  Google Scholar 

  30. U. Sivan, P. M. Solomon, and H. Shtrikman, Phys. Rev. Lett. 68, 1196 (1992).

    Article  ADS  Google Scholar 

  31. S. Kim, I. Jo, J. Nah, Z. Yao, S. K. Banerjee, and E. Tutuc, Phys. Rev. B 83, 161401 (2011).

    Article  ADS  Google Scholar 

  32. R. V. Gorbachev, A. K. Geim, M. I. Katsnelson, K. S. Novoselov, T. Tudorovskyiy, T. V. Grigorieva, A. H. MacDonald, K. Watanabe, T. Taniguchi, and L. P. Ponamarenko, Nature Phys. 8, 896 (2012).

    Article  ADS  Google Scholar 

  33. M. Freitag, M. Steiner, Y. Martin, V. Perebeinos, Z. Chen, J. C. Tsang, and P. Avouris, Nano Lett. 9, 1883 (2009).

    Article  ADS  Google Scholar 

  34. A. I. Volokitin and B. N. J. Persson, J. Phys.: Condens. Matter 13, 859 (2001).

    ADS  Google Scholar 

  35. A. I. Volokitin and B. N. J. Persson, Eur. Phys. Lett. 103, 24002 (2013).

    Article  ADS  Google Scholar 

  36. I. M. Frank, J. Phys. USSR 7, 49 (1943).

    Google Scholar 

  37. V. L. Ginzburg, J. Phys. USSR 9, 353 (1945).

    Google Scholar 

  38. I. M. Frank and V. L. Ginzburg, J. Phys. (USSR) 9, 353 (1945).

    Google Scholar 

  39. I. E. Tamm, Usp. Phys. Nauk 68, 387 (1959), Science 131, 206 (1960).

    Article  Google Scholar 

  40. V. L. Ginzburg, Phys. Usp. 39, 973 (1996).

    Article  ADS  Google Scholar 

  41. M. F. Maghrebi, R. Golestanian, and M. Kardar, Phys. Rev. A 88, 042509 (2013).

    Article  ADS  Google Scholar 

Download references

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Correspondence to A. I. Volokitin.

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Original Russian Text © A.I. Volokitin, B.N.Y. Persson, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 103, No. 4, pp. 245–250.

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Volokitin, A.I., Persson, B.N.Y. Quantum Cherenkov radiation at the relative sliding of two transparent plates. Jetp Lett. 103, 223–227 (2016). https://doi.org/10.1134/S0021364016040159

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  • DOI: https://doi.org/10.1134/S0021364016040159

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