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Abstract:

In this work we analyze the validity of Lifshitz's theory for the case of nonequilibrium scenarios from a full quantum dynamical approach. We show that Lifshitz's framework for the study of the Casimir pressure is the result of considering the long-time regime (or steady state) of a well-defined fully quantized problem, subjected to initial conditions for the electromagnetic field interacting with real materials. For this, we implement the closed time path formalism developed in previous works to study the case of two half spaces (modeled as composite environments, consisting in quantum degrees of freedom plus thermal baths) interacting with the electromagnetic field. Starting from initial uncorrelated free subsystems, we solve the full time evolution, obtaining general expressions for the different contributions to the pressure that take part on the transient stage. Using the analytic properties of the retarded Green functions, we obtain the long-time limit of these contributions to the total Casimir pressure. We show that, in the steady state, only the baths' contribute, in agreement with the results of previous works, where this was assumed without justification. We also study in detail the physics of the initial conditions' contribution and the concept of modified vacuum modes, giving insights about in which situations one would expect a nonvanishing contribution at the steady state of a nonequilibrium scenario. This would be the case when considering finite width slabs instead of half-spaces. © 2016 American Physical Society.

Registro:

Documento: Artículo
Título:Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system
Autor:Lombardo, F.C.; Mazzitelli, F.D.; López, A.E.R.; Turiaci, G.J.
Filiación:Departamento de Física Juan José Giambiagi, FCEyN UBA and IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón i, Buenos Aires, 1428, Argentina
Centro Atómico Bariloche and Instituto Balseiro, CONICET, Comisión Nacional de Energía Atómica, Bariloche, R8402AGP, Argentina
Physics Department, Princeton University, Princeton, NJ 08544, United States
Año:2016
Volumen:94
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevD.94.025029
Título revista:Physical Review D
Título revista abreviado:Phy. Rev. D
ISSN:24700010
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v94_n2_p_Lombardo

Referencias:

  • Lifshitz, E.M., (1955) J. Exp. Theor. Phys. USSR, 29, p. 94
  • Lifshitz, E.M., (1966) Sov. Phys. JETP, 2, p. 73
  • Dzyaloshinskii, I.E., Lifshitz, E.M., Pitaevskii, L.P., (1961) Adv. Phys., 10, p. 165
  • Antezza, M., Pitaevskii, L.P., Stringari, S., Svetovoy, V.B., (2008) Phys. Rev. A, 77, p. 022901
  • Behunin, R.O., Hu, B.L., (2011) Phys. Rev. A, 84, p. 012902
  • Klimchitskaya, G.L., Mostepanenko, V.M., http://trudy.spbstu.ru/en/issues/1-517_2015/04/; Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M., (2009) Rev. Mod. Phys., 81, p. 1827
  • Guérout, R., Lambrecht, A., Milton, K.A., Reynaud, S., (2014) Phys. Rev. e, 90, p. 042125
  • Lombardo, F.C., Mazzitelli, F.D., Rubio López, A.E., (2011) Phys. Rev. A, 84, p. 052517
  • Knöll, L., Leonhardt, U., (1992) J. Mod. Opt., 39, p. 1253
  • Rosa, F.S.S., Dalvit, D.A.R., Milonni, P.W., (2010) Phys. Rev. A, 81, p. 033812
  • Breuer, H.P., Petruccione, F., (2006) The Theory of Open Quantum Systems, , (Clarendon Press, Oxford)
  • Greiner, W., Reinhardt, J., (1996) Field Quantization, , (Springer-Verlag, Berlin)
  • Calzetta, E.A., Hu, B.L., (2008) Nonequilibrium Quantum Field Theory, , (Cambridge University Press, Cambridge, England)
  • Milonni, P.W., (1994) The Quantum Vacuum: An Introduction to Quantum Electrodynamics, , (Academic Press, New York)
  • Feynman, R.P., Hibbs, A.R., (2010) Quantum Mechanics and Path Integrals, , (McGraw-Hill, New York)
  • Fradkin, E.S., Gitman, D.M., (1981) Fortschr. Phys., 29, p. 381
  • Eberlein, C., Robaschik, D., (2006) Phys. Rev. D, 73, p. 025009
  • Bechler, A., (1999) J. Mod. Opt., 46, p. 901
  • Rubio López, A.E., Lombardo, F.C., (2014) Phys. Rev. D, 89, p. 105026
  • Rubio López, A.E., Lombardo, F.C., (2015) Eur. Phys. J. C, 75, p. 93
  • Tomaš, M.S., (1995) Phys. Rev. A, 51, p. 2545
  • Jackson, J.D., (1975) Classical Electrodynamics, , 2nd ed. (Wiley, New York)
  • Kupiszewska, D., (1992) Phys. Rev. A, 46, p. 2286

Citas:

---------- APA ----------
Lombardo, F.C., Mazzitelli, F.D., López, A.E.R. & Turiaci, G.J. (2016) . Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system. Physical Review D, 94(2).
http://dx.doi.org/10.1103/PhysRevD.94.025029
---------- CHICAGO ----------
Lombardo, F.C., Mazzitelli, F.D., López, A.E.R., Turiaci, G.J. "Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system" . Physical Review D 94, no. 2 (2016).
http://dx.doi.org/10.1103/PhysRevD.94.025029
---------- MLA ----------
Lombardo, F.C., Mazzitelli, F.D., López, A.E.R., Turiaci, G.J. "Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system" . Physical Review D, vol. 94, no. 2, 2016.
http://dx.doi.org/10.1103/PhysRevD.94.025029
---------- VANCOUVER ----------
Lombardo, F.C., Mazzitelli, F.D., López, A.E.R., Turiaci, G.J. Nonequilibrium Lifshitz theory as a steady state of a full dynamical quantum system. Phy. Rev. D. 2016;94(2).
http://dx.doi.org/10.1103/PhysRevD.94.025029