Navegar

Colección

Datos Estadísticas

Artículo

Rubio López, A.E.; Lombardo, F.C. "Closed-time-path approach to the Casimir energy in real media" (2014) Physical Review D - Particles, Fields, Gravitation and Cosmology. 89(10)
El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The closed-time-path (CTP) formalism is applied, in the framework of open quantum systems, to study the time evolution of the expectation value of the energy-momentum tensor of a scalar field in the presence of real materials. We analyze quantum (Casimir) fluctuations in a fully nonequilibrium scenario, when the scalar field is interacting with the polarization degrees of freedom of matter, described as quantum Brownian particles (harmonic oscillators coupled to a bath) at each point of space. A generalized analysis is done for two types of couplings between the field and the polarization degrees of freedom. On the one hand, we consider a bilinear coupling between the field and the polarization degrees of freedom, and on the other hand, a (more realistic) current-type coupling as in the case of the electromagnetic field interacting with matter. We successfully compute the CTP generating functional for the field through calculating the corresponding influence functionals. We consider the high-temperature limit for the field, keeping arbitrary temperatures for each part of the material's volume elements. We obtain a closed form for the Hadamard propagator, which allows us to study the dynamical evolution of the expectations values of the energy-momentum tensor components from the initial time when the interactions are turned on. We show that two contributions always take place in the transient evolution: one is associated with the material, and the other is only associated with the field. Transient features are studied and the long-time limit is derived in several cases. We prove that in the steady situation of a field in n+1 dimensions, the material always contributes unless it is nondissipative. Conversely, the proper field contribution vanishes unless the material is nondissipative or - at least for the 1+1 case - if there are regions without material. We finally conclude that any steady quantization scheme in 1+1 dimensions must consider both contributions and, on the other hand, we argue why these results are physically expected from a dynamical point of view, and also could be valid for higher dimensions based on the expected continuity between the nondissipative and real-material cases. © 2014 American Physical Society.

Registro:

Documento: Artículo
Título:Closed-time-path approach to the Casimir energy in real media
Autor:Rubio López, A.E.; Lombardo, F.C.
Filiación:Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Año:2014
Volumen:89
Número:10
DOI: http://dx.doi.org/10.1103/PhysRevD.89.105026
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v89_n10_p_RubioLopez

Referencias:

  • Antezza, M., Pitaevskii, L.P., Stringari, S., Svetovoy, V.B., Casimir-Lifshitz force out of thermal equilibrium (2008) Physical Review A - Atomic, Molecular, and Optical Physics, 77 (2), p. 022901. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.77.022901&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.77.022901
  • Bimonte, G., (2009) Phys. Rev. A, 80, p. 042102. , PLRAAN 1050-2947 10.1103/PhysRevA.80.042102
  • Lifshitz, E.-M., (1956) Sov. Phys. JETP, 2, p. 73. , SPHJAR 0038-5646
  • Barton, G., (2010) New J. Phys., 12, p. 113045. , NJOPFM 1367-2630 10.1088/1367-2630/12/11/113045
  • Philbin, T.-G., (2010) New J. Phys., 12, p. 123008. , NJOPFM 1367-2630 10.1088/1367-2630/12/12/123008
  • Rosa, F.-S.-S., Dalvit, D.-A.-R., Milonni, P.-W., (2010) Phys. Rev. A, 81, p. 033812. , PLRAAN 1050-2947 10.1103/PhysRevA.81.033812
  • Breuer, H.-P., Petruccione, F., (2002) The Theory of Open Quantum Systems, , (Oxford University Press, New York)
  • Buhmann, S.Y., Welsch, D.-G., Dispersion forces in macroscopic quantum electrodynamics (2007) Progress in Quantum Electronics, 31 (2), pp. 51-130. , DOI 10.1016/j.pquantelec.2007.03.001, PII S0079672707000249
  • Huttner, B., Barnett, S.-M., (1992) Phys. Rev. A, 46, p. 4306. , PLRAAN 1050-2947 10.1103/PhysRevA.46.4306
  • Lombardo, F.-C., Mazzitelli, F.-D., Rubio Lopez, A.-E., (2011) Phys. Rev. A, 84, p. 052517. , PLRAAN 1050-2947 10.1103/PhysRevA.84.052517
  • Kupiszewska, D., (1992) Phys. Rev. A, 46, p. 2286. , PLRAAN 1050-2947 10.1103/PhysRevA.46.2286
  • Schwinger, J.-S., (1961) J. Math. Phys. (N.Y.), 2, p. 407. , JMAPAQ 0022-2488 10.1063/1.1703727
  • Keldysh, L.-V., (1964) Zh. Eksp. Teor. Fiz., 47, p. 1515. , ZETFA7 0044-4510
  • Keldysh, L.-V., (1965) Sov. Phys. JETP, 20, p. 1018. , [, ()]. SPHJAR 0038-5646
  • Chou, K.-C., Su, Z.-B., Hao, B.-L., Yu, L., (1985) Phys. Rep., 118, p. 1. , PRPLCM 0370-1573 10.1016/0370-1573(85)90136-X
  • Jordan, R.-D., (1986) Phys. Rev. D, 33, p. 444. , PRVDAQ 0556-2821 10.1103/PhysRevD.33.444
  • Weinberg, S., (2005) Phys. Rev. D, 72, p. 043514. , PRVDAQ 1550-7998 10.1103/PhysRevD.72.043514
  • Calzetta, E.-A., Hu, B.-L., (2008) Nonequilibrium Quantum Field Theory, , (Cambridge University Press, Cambridge, England)
  • Greiner, W., Reinhardt, J., (1996) Field Quantization, , (Springer-Verlag, Berlin)
  • Feynman, R.-P., Hibbs, A.-R., (1965) Quantum Mechanics and Path Integrals, , (McGraw-Hill, New York)
  • Lombardo, F., Mazzitelli, F.-D., (1996) Phys. Rev. D, 53, p. 2001. , PRVDAQ 0556-2821 10.1103/PhysRevD.53.2001
  • Lombardo, F.C., Mazzitelli, F.D., Rivers, R.J., Decoherence in field theory: General couplings and slow quenches (2003) Nuclear Physics B, 672 (3), pp. 462-486. , DOI 10.1016/j.nuclphysb.2003.08.043, PII S0550321303007387
  • Lombardo, F.-C., Lopez Nacir, D., (2005) Phys. Rev. D, 72, p. 063506. , PRVDAQ 1550-7998 10.1103/PhysRevD.72.063506
  • Calzetta, E.-A., Roura, A., Verdaguer, E., (2003) Physica (Amsterdam), 319 A, p. 188. , PHYADX 0378-4371 10.1016/S0378-4371(02)01521-2
  • Caldeira, A.-O., Leggett, A.-J., (1983) Physica (Amsterdam), 121 A, p. 587. , PHYADX 0378-4371 10.1016/0378-4371(83)90013-4
  • Hu, B.-L., Paz, J.-P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843. , PRVDAQ 0556-2821 10.1103/PhysRevD.45.2843
  • Mrówczyński, S., Müller, B., (1994) Phys. Rev. D, 50, p. 7542. , PRVDAQ 0556-2821 10.1103/PhysRevD.50.7542
  • Arteaga Barriel, D., (2007), Ph.D thesis, Universitat de Barcelona; Ramond, P., (1990) Field Theory: A Modern Primer, , (Westview Press, Boulder)
  • Schiff, J.-L., (1999) The Laplace Transform: Theory and Applications, , (Springer-Verlag, New York)
  • Kupiszewska, D., Mostowski, J., (1990) Phys. Rev. A, 41, p. 4636. , PLRAAN 1050-2947 10.1103/PhysRevA.41.4636
  • Collins, R.-E., (1990) Field Theory of Guided Waves, , (IEEE Press, New York), 2nd ed

Citas:

---------- APA ----------
Rubio López, A.E. & Lombardo, F.C. (2014) . Closed-time-path approach to the Casimir energy in real media. Physical Review D - Particles, Fields, Gravitation and Cosmology, 89(10).
http://dx.doi.org/10.1103/PhysRevD.89.105026
---------- CHICAGO ----------
Rubio López, A.E., Lombardo, F.C. "Closed-time-path approach to the Casimir energy in real media" . Physical Review D - Particles, Fields, Gravitation and Cosmology 89, no. 10 (2014).
http://dx.doi.org/10.1103/PhysRevD.89.105026
---------- MLA ----------
Rubio López, A.E., Lombardo, F.C. "Closed-time-path approach to the Casimir energy in real media" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 89, no. 10, 2014.
http://dx.doi.org/10.1103/PhysRevD.89.105026
---------- VANCOUVER ----------
Rubio López, A.E., Lombardo, F.C. Closed-time-path approach to the Casimir energy in real media. Phys Rev D Part Fields Gravit Cosmol. 2014;89(10).
http://dx.doi.org/10.1103/PhysRevD.89.105026