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Abstract:

We describe the decoherence process induced on a two-level quantum system in direct interaction with a nonequilibrium environment. The nonequilibrium feature is represented by a nonstationary random function corresponding to the fluctuating transition frequency between two quantum states coupled to the surroundings. In this framework, we compute the decoherence factors which have a characteristic "dip" related to the initial phases of the bath modes. We therefore study different types of environments, namely, ohmic and supraohmic. These environments present different decoherence time scales than the thermal environment we used to study. As a consequence, we compute analytically and numerically the nonunitary geometric phase for the qubit in a quasicyclic evolution under the presence of these particular nonequilibrium environments. We show in which cases decoherence effects could, in principle, be controlled in order to perform a measurement of the geometric phase using standard procedures. © 2013 American Physical Society.

Registro:

Documento: Artículo
Título:Nonunitary geometric phases: A qubit coupled to an environment with random noise
Autor:Lombardo, F.C.; Villar, P.I.
Filiación:Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Palabras clave:Decoherence effects; Decoherence process; Decoherence time scale; Direct interactions; Random functions; Standard procedures; Thermal environment; Transition frequencies; Quantum computers; Quantum electronics; Quantum optics
Año:2013
Volumen:87
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevA.87.032338
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v87_n3_p_Lombardo

Referencias:

  • Leggett, A.J., Chakravarty, S., Dorsey, T.A., Fisher, M.P.A., Garg, A., Zwerger, W., (1987) Rev. Mod. Phys., 59, p. 1. , RMPHAT 0034-6861 10.1103/RevModPhys.59.1
  • Paz, J.P., Zurek, W.H., (2001) Coherent Matter Waves, pp. 533-614. , in edited by R. Kaiser, C. Westbrook, and F. David, Proceedings of the Les Houches Summer School on Theoretical Physics, LXXII, 2000 (EDP Sciences/Springer, Berlin
  • Zurek, W.H., Decoherence, einselection, and the quantum origins of the classical (2003) Reviews of Modern Physics, 75 (3), pp. 715-775. , DOI 10.1103/RevModPhys.75.715
  • Weiss, U., (1999) Quantum Dissipative Systems, , World Scientific, Singapore
  • Goan, H.-S., Jian, C.-C., Chen, P.-W., (2010) Phys. Rev. A, 82, p. 012111. , PLRAAN 1050-2947 10.1103/PhysRevA.82.012111
  • J. Beer and E. Lutz, arXiv: 1004.3921v2 [quant-ph]; Lombardo, F.C., Villar, P.I., Decoherence induced by a composite environment (2005) Physical Review A - Atomic, Molecular, and Optical Physics, 72 (3), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRA:72, DOI 10.1103/PhysRevA.72.034103, 034103
  • Villar, P.I., Lombardo, F.C., (2011) Phys. Rev. A, 83, p. 052121. , PLRAAN 1050-2947 10.1103/PhysRevA.83.052121
  • Martens, C.C., (2012) J. Phys. B, 45, p. 154008. , JPAPEH 0953-4075 10.1088/0953-4075/45/15/154008
  • Gordon, G., Kurizki, G., Mancini, S., Vitali, D., Tombesi, P., Open-loop stochastic control of quantum coherence (2007) Journal of Physics B: Atomic, Molecular and Optical Physics, 40 (9), pp. S61-S73. , DOI 10.1088/0953-4075/40/9/S03, PII S0953407507387658, S03
  • Myatt, C.J., King, B.E., Turchette, Q.A., Sackett, C.A., Kielpinskl, D., Itano, W.M., Monroe, C., Wineland, D.J., Decoherence of quantum superpositions through coupling to engineered reservoirs (2000) Nature, 403 (6767), pp. 269-273. , DOI 10.1038/35002001
  • Pancharatnam, S., (1956) Proc. Indian Acad. Sci. A, 44, p. 247
  • Berry, M.V., (1984) Proc. R. Soc. London A, 392, p. 45. , 1364-5021 10.1098/rspa.1984.0023
  • Jones, J.A., Vedral, V., Ekert, A., Castagnoll, G., Geometric quantum computation using nuclear magnetic resonance (2000) Nature, 403 (6772), pp. 869-871. , DOI 10.1038/35002528
  • Faoro, L., Siewert, J., Fazio, R., (2003) Phys. Rev. Lett., 90, p. 028301. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.028301
  • Sonier, J.E., Brewer, J.H., Kiefl, R.F., Miller, R.I., Morris, G.D., Stronach, C.E., Gardner, J.S., Heffner, R.H., Anomalous weak magnetism in superconducting YBa21Cu 3O6+x (2001) Science, 292 (5522), pp. 1692-1695. , DOI 10.1126/science.1060844
  • Solinas, P., Zanardi, P., Zanghi, N., Rossi, F., (2003) Phys. Rev. B, 67, p. 121307. , PRBMDO 1098-0121 10.1103/PhysRevB.67.121307
  • Zanardi, P., Rasetti, M., (1999) Phys. Lett. A, 264, p. 94. , PYLAAG 0375-9601 10.1016/S0375-9601(99)00803-8
  • Xiang-Bin, W., Keiji, M., (2001) Phys. Rev. Lett., 87, p. 097901. , PRLTAO 0031-9007 10.1103/PhysRevLett.87.097901
  • Sjoqvist, E., (2012) New J. Phys., 14, p. 103035. , NJOPFM 1367-2630 10.1088/1367-2630/14/10/103035
  • Tong, D.M., Sjoqvist, E., Kwek, L.C., Oh, C.H., (2004) Phys. Rev. Lett., 93, p. 080405. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.080405
  • Tong, D.M., Sjoqvist, E., Kwek, L.C., Oh, C.H., Erratum: Kinematic approach to the mixed state geometric phase in nonunitary evolution (Phys. Rev. Lett. (2004) 93 (080405)) (2005) Physical Review Letters, 95 (24), p. 249902. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:94, DOI 10.1103/PhysRevLett.95.249902
  • Lombardo, F.C., Villar, P.I., Geometric phases in open systems: A model to study how they are corrected by decoherence (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 74 (4), p. 042311. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.74.042311&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.74.042311
  • Lombardo, F.C., Villar, P.I., (2008) Int. J. Quantum Inf., 6, p. 707713. , 0219-7499 10.1142/S0219749908003992
  • Villar, P.I., (2009) Phys. Lett. A, 373, p. 206. , PYLAAG 0375-9601 10.1016/j.physleta.2008.11.038
  • Palma, G.M., Suominen, K., Ekert, A., (1996) Proc. R. Soc. London A, 452, p. 567. , 1364-5021 10.1098/rspa.1996.0029
  • Viola, L., Lloyd, S., (1998) Phys. Rev. A, 58, p. 2733. , PLRAAN 1050-2947 10.1103/PhysRevA.58.2733
  • Falci, G., Fazio, R., Palma, G.M., Siewert, J., Vedral, V., (2000) Nature (London), 407, p. 355. , NATUAS 0028-0836 10.1038/35030052
  • Cucchietti, F.M., Zhang, J.-F., Lombardo, F.C., Villar, P.I., Laflamme, R., (2010) Phys. Rev. Lett., 105, p. 240406. , PRLTAO 0031-9007 10.1103/PhysRevLett.105.240406
  • Leek, P.J., Fink, J.M., Blais, A., Bianchetti, R., Goppl, M., Gambetta, J.M., Schuster, D.I., Wallraff, A., (2007) Science, 318, p. 1889. , SCIEAS 0036-8075 10.1126/science.1149858
  • Martens, C.C., (2010) J. Chem. Phys., 133, p. 241101. , JCPSA6 0021-9606 10.1063/1.3507870
  • Sonnentag, P., Hasselbach, F., Measurement of decoherence of electron waves and visualization of the quantum-classical transition (2007) Physical Review Letters, 98 (20), p. 200402. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.98.200402&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.98.200402
  • Lombardo, F., Mazzitelli, F.D., (1996) Phys. Rev. D, 53, p. 2001. , PRVDAQ 1550-7998 10.1103/PhysRevD.53.2001
  • Riga, J.M., Martens, C.C., (2004) J. Chem. Phys., 120, p. 6863. , JCPSA6 0021-9606 10.1063/1.1651472
  • Riga, J.M., Martens, C.C., (2006) J. Chem. Phys., 322, p. 108
  • Lombardo, F.C., Villar, P.I., Decoherence induced by zero-point fluctuations in quantum Brownian motion (2005) Physics Letters, Section A: General, Atomic and Solid State Physics, 336 (1), pp. 16-24. , DOI 10.1016/j.physleta.2004.12.065, PII S0375960104017931
  • Lombardo, F.C., Villar, P.I., (2007) Phys. Lett. A, 371, p. 190. , 0375-9601 10.1016/j.physleta.2007.08.019
  • Lombardo, F.C., Villar, P.I., (2010) Phys. Rev. A, 81, p. 022115. , PLRAAN 1050-2947 10.1103/PhysRevA.81.022115
  • Branderhorst, M.P.A., Londero, P., Wasylczyk, P., Brif, C., Kosut, R.L., Rabitz, H., Walmsley, I.A., Coherent control of decoherence (2008) Science, 320 (5876), pp. 638-643. , DOI 10.1126/science.1154576

Citas:

---------- APA ----------
Lombardo, F.C. & Villar, P.I. (2013) . Nonunitary geometric phases: A qubit coupled to an environment with random noise. Physical Review A - Atomic, Molecular, and Optical Physics, 87(3).
http://dx.doi.org/10.1103/PhysRevA.87.032338
---------- CHICAGO ----------
Lombardo, F.C., Villar, P.I. "Nonunitary geometric phases: A qubit coupled to an environment with random noise" . Physical Review A - Atomic, Molecular, and Optical Physics 87, no. 3 (2013).
http://dx.doi.org/10.1103/PhysRevA.87.032338
---------- MLA ----------
Lombardo, F.C., Villar, P.I. "Nonunitary geometric phases: A qubit coupled to an environment with random noise" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 87, no. 3, 2013.
http://dx.doi.org/10.1103/PhysRevA.87.032338
---------- VANCOUVER ----------
Lombardo, F.C., Villar, P.I. Nonunitary geometric phases: A qubit coupled to an environment with random noise. Phys Rev A. 2013;87(3).
http://dx.doi.org/10.1103/PhysRevA.87.032338