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Abstract:

We analyze the evolution of the quantum state of networks of quantum oscillators coupled with arbitrary external environments. We show that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution. We use this to study the emergence of thermodynamical laws in the long time regime demonstrating two main results: First, we show that it is impossible to build a quantum absorption refrigerator using linear networks (thus, nonlinearity is an essential resource for such refrigerators recently studied by Levy and Kosloff and Levy et al.). Then, we show that the third law imposes constraints on the low frequency behavior of the environmental spectral densities. © 2013 American Physical Society.

Registro:

Documento: Artículo
Título:Dynamics and thermodynamics of linear quantum open systems
Autor:Martinez, E.A.; Paz, J.P.
Filiación:Departamento de Física, FCEyN, UBA, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina
IFIBA CONICET, UBA, FCEyN, UBA, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina
Palabras clave:External environments; Low frequency behavior; Master equations; Quantum absorption; Quantum open systems; Quantum oscillators; Reduced-density matrix; Thermodynamical laws; Environmental regulations; Spectral density; Thermodynamics; Quantum theory
Año:2013
Volumen:110
Número:13
DOI: http://dx.doi.org/10.1103/PhysRevLett.110.130406
Título revista:Physical Review Letters
Título revista abreviado:Phys Rev Lett
ISSN:00319007
CODEN:PRLTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v110_n13_p_Martinez

Referencias:

  • http://link.aps.org/supplemental/10.1103/PhysRevLett.110.130406; Levy, A., Kosloff, R., (2012) Phys. Rev. Lett., 108, p. 070604. , PRLTAO 0031-9007 10.1103/PhysRevLett.108.070604
  • Levy, A., Alicki, R., Kosloff, R., (2012) Phys. Rev. B, 85, p. 061126. , PRBMDO 1539-3755 10.1103/PhysRevE.85.061126
  • Michel, M., Mahler, G., Gemmer, J., Fourier's law from Schrödinger dynamics (2005) Physical Review Letters, 95 (18), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:95, DOI 10.1103/PhysRevLett.95.180602, 180602
  • Saito, K., Strong evidence of normal heat conduction in a one-dimensional quantum system (2003) Europhysics Letters, 61 (1), pp. 34-40. , DOI 10.1209/epl/i2003-00241-3
  • Kim, I., Mahler, G., (2010) Phys. Rev. e, 81, p. 1. , PLEEE8 1539-3755
  • Gemmer, J., Michel, M., Mahler, G., (2010) Quantum Thermodynamics, , Springer, New York
  • Kolar, M., Gelbwaser-Klimovsky, D., Alicki, R., Kurizki, G., (2012) Phys. Rev. Lett., 109, p. 090601. , PRLTAO 0031-9007 10.1103/PhysRevLett.109.090601
  • Kosloff, R., (1984) J. Chem. Phys., 80, p. 1625. , JCPSA6 0021-9606 10.1063/1.446862
  • Lloyd, S., (1997) Phys. Rev. A, 56, p. 3374. , PLRAAN 1050-2947 10.1103/PhysRevA.56.3374
  • Kosloff, R., Geva, E., Gordon, J.M., (2000) Appl. Phys., 87, p. 8093. , APPYEK 0021-8979 10.1063/1.373503
  • Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843. , PRVDAQ 0556-2821 10.1103/PhysRevD.45.2843
  • Dávila Romero, L., Paz, J.P., (1997) Phys. Rev. A, 55, p. 4070. , PLRAAN 1050-2947 10.1103/PhysRevA.55.4070
  • Fleming, C.H., Hu, B.L., Roura, A., (2011) Ann. Phys. (Amsterdam), 326, p. 1207. , APNYA6 0003-4916 10.1016/j.aop.2010.12.003
  • Paz, J.P., Zurek, W.H., (2002) Fundamentals of Quantum Information, p. 77. , Springer, New York
  • Dhar, B., (2008) Adv. Phys., 57, p. 457. , ADPHAH 0001-8732 10.1080/00018730802538522
  • Pruttivarasin, T., Ramm, M., Talukdar, I., Krouter, A., Haffner, H., (2011) New J. Phys., 13, p. 075012. , NJOPFM 1367-2630 10.1088/1367-2630/13/7/075012
  • Lin, G.D., Duan, L.M., (2011) New J. Phys., 13, p. 075015. , NJOPFM 1367-2630 10.1088/1367-2630/13/7/075015
  • Mohseni, M., Rebentrost, P., Lloyd, S., Aspriu-Guzik, A., (2008) J. Chem. Phys., 129, p. 174106. , JCPSA6 0021-9606 10.1063/1.3002335
  • Plenio, M.B., Huelga, S.F., (2008) New J. Phys., 10, p. 113019. , NJOPFM 1367-2630 10.1088/1367-2630/10/11/113019
  • Abah, O., Roßnagel, J., Jacob, G., Deffner, S., Schmidt-Kaler, F., Singer, K., Lutz, E., (2012) Phys. Rev. Lett., 109, p. 203006. , PRLTAO 0031-9007 10.1103/PhysRevLett.109.203006
  • Chamon, C., Mucciolo, E.R., Arrachea, I., Capaz, R.B., (2011) Phys. Rev. Lett., 106, p. 135504. , PRLTAO 0031-9007 10.1103/PhysRevLett.106.135504
  • Feynman, R.P., Vernon, F.L., (1963) Ann. Phys. (N.Y.), 24, p. 118. , APNYA6 0003-4916 10.1016/0003-4916(63)90068-X
  • Grabert, H., Schramm, P., Ingold, G.L., (1988) Phys. Rep., 168, p. 115. , see also, PRPLCM 0370-1573 10.1016/0370-1573(88)90023-3
  • Caldeira, A.O., Leggett, A.J., (1983) Physica (Amsterdam), 121, p. 587. , PHYADX 0378-4371 10.1016/0378-4371(83)90013-4
  • Arrachea, L., Moskalets, M., Martin-Moreno, L., (2007) Phys. Rev. B, 75, p. 245420. , PRBMDO 1098-0121 10.1103/PhysRevB.75.245420

Citas:

---------- APA ----------
Martinez, E.A. & Paz, J.P. (2013) . Dynamics and thermodynamics of linear quantum open systems. Physical Review Letters, 110(13).
http://dx.doi.org/10.1103/PhysRevLett.110.130406
---------- CHICAGO ----------
Martinez, E.A., Paz, J.P. "Dynamics and thermodynamics of linear quantum open systems" . Physical Review Letters 110, no. 13 (2013).
http://dx.doi.org/10.1103/PhysRevLett.110.130406
---------- MLA ----------
Martinez, E.A., Paz, J.P. "Dynamics and thermodynamics of linear quantum open systems" . Physical Review Letters, vol. 110, no. 13, 2013.
http://dx.doi.org/10.1103/PhysRevLett.110.130406
---------- VANCOUVER ----------
Martinez, E.A., Paz, J.P. Dynamics and thermodynamics of linear quantum open systems. Phys Rev Lett. 2013;110(13).
http://dx.doi.org/10.1103/PhysRevLett.110.130406