Abstract
We study the dispersion interaction of the van der Waals and Casimir–Polder (vdW-CP) type between a neutral atom and the surface of a conductor by allowing for nonlocal electrodynamics, i.e. electron diffusion. We consider two models: (i) bulk diffusion, and (ii) diffusion in a surface charge layer. In both cases, we find that the transition to a semiconductor as a function of the conductivity is continuous, unlike the case of a local model. The relevant parameter is the electric screening length and depends on the carrier diffusion constant. We find that for distances comparable to the screening length, vdW-CP data can distinguish between bulk and surface diffusion, hence it can be a sensitive probe for surface states.
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D.M. Harber, J.M. Obrecht, J.M. McGuirk, E.A. Cornell, Phys. Rev. A 72, 033610 (2005)
J.M. Obrecht, R.J. Wild, M. Antezza, L.P. Pitaevskii, S. Stringari, E.A. Cornell, Phys. Rev. Lett. 98, 0632019 (2007)
H.B. Casimir, D. Polder, Phys. Rev. 73, 360 (1948)
G.L. Klimchitskaya, V.M. Mostepanenko, J. Phys. A 41, 312002(F) (2008)
L.P. Pitaevskii, Phys. Rev. Lett. 101, 163202 (2008)
B. Geyer, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Phys. Rev. Lett. 102, 189301 (2008)
L.P. Pitaevskii, Phys. Rev. Lett. 102, 189302 (2008)
F. Chen, G.L. Klimchitskaya, V.M. Mostepanenko, U. Mohideen, Phys. Rev. B 76, 035338 (2007)
D.A.R. Dalvit, S.K. Lamoreaux, Phys. Rev. Lett. 101, 163203 (2008)
V.B. Svetovoy, Phys. Rev. Lett. 101, 163603 (2008)
V.B. Svetovoy, Phys. Rev. Lett. 102, 219903 (2009), erratum
R.S. Decca et al., Phys. Rev. Lett. 102, 189303 (2009)
D.A. Dalvit, S.K. Lamoreaux, Phys. Rev. Lett. 102, 189304 (2009)
Y.S. Barash, V.L. Ginzburg, Sov. Phys. Usp. 18, 305 (1975)
G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, J. Phys. A 41, 432001 (2008)
V.M. Mostepanenko, R.S. Decca, E. Fischbach, B. Geyer, G.L. Klimchitskaya, D.E. Krause, D. Lopez, U. Mohideen, Int. J. Mod. Phys. A 24, 1721 (2009)
L.P. Pitaevskii, Laser Phys. 19, 632 (2009)
E. Zaremba, W. Kohn, Phys. Rev. B 13, 2270 (1976)
J.F. Dobson, T. Gould, J. Phys.: Condens. Matter 24, 073201 (2012)
I. Dorofeyev, Phys. Lett. A 363, 251 (2007)
K.L. Kliewer, R. Fuchs, Phys. Rev. 172, 607 (1968)
J. Homola, Surface plasmon resonance based sensors (Springer, Berlin, Heidelberg, 2006)
A. Varykhalov, A.M. Shikin, W. Gudat, P. Moras, C. Grazioli, C. Carbone, O. Rader, Phys. Rev. Lett. 95, 247601 (2005)
Q.A. Turchette et al., Phys. Rev. A 61, 063418 (2000)
D. Leibrandt, B. Yurke, R. Slusher, Quant. Inf. Comput. 7, 52 (2007)
C. Henkel, B. Horovitz, Phys. Rev. A 78, 042902 (2008)
R. Dubessy, T. Coudreau, L. Guidoni, Phys. Rev. A 80, 031402 (2009)
N. Daniilidis, S. Narayanan, S.A. Möller, R. Clark, T.E. Lee, P.J. Leek, A. Wallraff, S. Schulz, F. Schmidt-Kaler, H. Häffner, New J. Phys. 13, 013032 (2011)
B. Horovitz, C. Henkel, Europhys. Lett. 97, 57010 (2012)
J.M. Wylie, J.E. Sipe, Phys. Rev. A 30, 1185 (1984)
J.M. Wylie, J.E. Sipe, Phys. Rev. A 32, 2030 (1985)
E.M. Lifshitz, L.P. Pitaevskii, Statistical Physics, Part 2 (Pergamon, Oxford, 1980)
J.E. Sipe, Phys. Rev. B 22, 1589 (1980)
D. Bedeaux, J. Vlieger, Optical Properties of Surfaces (World Scientific, Singapore, 2004)
R. Esquivel, V.B. Svetovoy, Phys. Rev. A 69, 062102 (2004)
V.B. Svetovoy, R. Esquivel, J. Phys. A 39, 6777 (2006)
A.M. Contreras-Reyes, W.L. Mochan, Phys. Rev. A 72, 034102 (2005)
V.B. Bezerra, G.L. Klimchitskaya, V.M. Mostepanenko, C. Romero, Phys. Rev. A 78, 042901 (2008)
M. Boström, B.E. Sernelius, I. Brevik, B.W. Ninham, Phys. Rev. A 85, 010701(R) (2012)
B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 72, 085009 (2005)
G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Rev. Mod. Phys. 81, 1827 (2009)
N.W. Ashcroft, N.D. Mermin, Solid State Physics (Saunders, Philadelphia, 1976)
G.W. Ford, W.H. Weber, Phys. Rep. 113, 195 (1984)
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Eizner, E., Horovitz, B. & Henkel, C. Van der Waals–Casimir–Polder interaction of an atom with a composite surface. Eur. Phys. J. D 66, 321 (2012). https://doi.org/10.1140/epjd/e2012-30294-x
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DOI: https://doi.org/10.1140/epjd/e2012-30294-x