Abstract
We investigate photon pair-creation in a dispersive dielectric medium induced by the presence of a spacetime varying dielectric constant. Our aim is to examine the possibility to observe new phenomena of pair creation induced by travelling dielectric perturbations e.g. created by laser pulses by means of the Kerr effect. In this perspective, we adopt a semi-phenomenological version of the Hopfield model in which a space-time dependent dielectric susceptibility appears. We focus our attention on perturbation theory, and provide general formulas for the photon production induced by a local but arbitrarily spacetime dependent refractive index perturbation. As an example, we further explore the case of a uniformly travelling perturbation, and provide examples of purely time-dependent perturbations.
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References
W. Heisenberg, H. Euler, Z. Phys. 98, 714 (1936) English translation in arXiv:physics/0605038
J. Schwinger, Phys. Rev. 82, 664 (1951)
J. Schwinger, Proc. Natl. Acad. Sci. 89, 4091 (1992)
J. Schwinger, Proc. Natl. Acad. Sci. 89, 11118 (1992)
J. Schwinger, Proc. Natl. Acad. Sci. 90, 958 (1993)
J. Schwinger, Proc. Natl. Acad. Sci. 90, 2105 (1993)
J. Schwinger, Proc. Natl. Acad. Sci. 90, 4505 (1993)
J. Schwinger, Proc. Natl. Acad. Sci. 90, 7285 (1993)
J. Schwinger, Proc. Natl. Acad. Sci. 91, 6473 (1994)
J.J. Hopfield, Phys. Rev. 112, 1555 (1958)
U. Fano, Rev. Mod. Phys. 29, 74 (1957)
C. Kittel, Quantum Theory of Solids (Wiley, New York, 1987)
A.S. Davydov, Teoria del solido (Mir, Moscow, 1984)
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, submitted
R.W. Boyd, Nonlinear Optics (Academic Press, Boston, 2008)
F. Belgiorno, S.L. Cacciatori, G. Ortenzi, V.G. Sala, D. Faccio, Phys. Rev. Lett. 104, 140403 (2010)
F. Dalla Piazza, F. Belgiorno, S.L. Cacciatori, D. Faccio, Phys. Rev. A 85, 033833 (2012)
R. Schützhold, G. Plunien, G. Soff, Phys. Rev. A 58, 1783 (1998)
F. Dalla Piazza, F. Belgiorno, S.L. Cacciatori, D. Faccio, forthcoming.
L.G. Suttorp, J. Phys. A 40, 3697 (2007)
P.W. Milonni, J. Mod. Opt. 42, 1191 (1995)
V.L. Ginzburg, Applications of electrodynamics in theoretical physics and astrophysics (Taylor and Francis Ltd, London, 1989)
L.G. Suttorp, A.J. van Wonderen, Europhys. Lett. 67, 766 (2004)
L.G. Suttorp, M. Wubs, Phys. Rev. A 70, 013816 (2004)
A. Luks, V. Perinová, Quantum Aspects of Light Propagation (Springer, Berlin, 2009)
H. Minkowski, Die Grundgleichungen für die elektromagnetischen Vorgänge in bewegten Körpern. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse. S. 53111 (1908)
E.J. Post, Formal structure of electromagnetics: general covariance and electromagnetics (North-Holland, Amsterdam, 1962)
P. Penfield, H.A. Haus, Electrodynamics of moving media (M.I.T. Press, Cambridge, 1967)
M. Petev, N. Westerberg, D. Moss, E. Rubino, C. Rimoldi, S.L. Cacciatori, F. Belgiorno, D. Faccio, arXiv:1303.5967 [physics.optics]
E. Rubino et al., New J. Phys. 13, 085005 (2011)
S. Finazzi, I. Carusotto, Phys. Rev. A 87, 023803 (2013)
S. Finazzi, I. Carusotto, arXiv:1303.4990 [physics. optics]
F. Belgiorno, S.L. Cacciatori, G. Ortenzi, L. Rizzi, V. Gorini, D. Faccio, Phys. Rev. D 83, 024015 (2011)
D.M. Gitman, I.V. Tyutin, Quantization of Fields with Constraints. Springer Series in Nuclear and Particle Physics (Springer, Berlin, 1990)
M. Henneaux, C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, 1994)
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Belgiorno, F., Cacciatori, S.L. & Piazza, F.D. Perturbative photon production in a dispersive medium. Eur. Phys. J. D 68, 134 (2014). https://doi.org/10.1140/epjd/e2014-40803-6
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DOI: https://doi.org/10.1140/epjd/e2014-40803-6