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Abstract:

Unitary transformations can allow one to study open quantum systems in situations for which standard, weak-coupling type approximations are not valid. We develop here an extension of the variational (polaron) transformation approach to open system dynamics, which applies to arbitrarily large exciton transport networks with local environments. After deriving a time-local master equation in the transformed frame, we go on to compare the population dynamics predicted using our technique with other established master equations. The variational frame dynamics are found to agree with both weak coupling and full polaron master equations in their respective regions of validity. In parameter regimes considered difficult for these methods, the dynamics predicted by our technique are found to interpolate between the two. The variational method thus gives insight, across a broad range of parameters, into the competition between coherent and incoherent processes in determining the dynamical behaviour of energy transfer networks. © IOP Publishing and Deutsche Physikalische Gesellschaft.

Registro:

Documento: Artículo
Título:A multi-site variational master equation approach to dissipative energy transfer
Autor:Pollock, F.A.; McCutcheon, D.P.S.; Lovett, B.W.; Gauger, E.M.; Nazir, A.
Filiación:Atomic and Laser Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
Departamento de Física, FCEyN, Ciudad Universitaria, Conicet Pabellón 1, 1428 Buenos Aires, Argentina
Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
SUPA, Institute of Photonics and Quantum Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom
Department of Materials, Oxford University, Oxford OX1 3PH, United Kingdom
Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore
Palabras clave:Dissipative energy; Dynamical behaviours; Exciton transport; Incoherent process; Local environments; Open quantum systems; Unitary transformations; Variational methods; Energy dissipation; Polarons; Quantum electronics; Quantum optics; Systems analysis
Año:2013
Volumen:15
DOI: http://dx.doi.org/10.1088/1367-2630/15/7/075018
Título revista:New Journal of Physics
Título revista abreviado:New J. Phys.
ISSN:13672630
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_13672630_v15_n_p_Pollock.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13672630_v15_n_p_Pollock

Referencias:

  • Engel, G.S., Calhoun, T.R., Read, E.L., Ahn, T.-K., Mancal, T., Cheng, Y.-C., Blankenship, R.E., Fleming, G.R., Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems (2007) Nature, 446 (7137), pp. 782-786. , DOI 10.1038/nature05678, PII NATURE05678
  • Panitchayangkoon, G., Hayes, D., Fransted, K.A., Caram, J.R., Harel, E., Wen, J., Blankenship, R.E., Engel, G.S., (2010) Proc. Natl Acad. Sci. USA, 107 (29), p. 12766. , 10.1073/pnas.1005484107 0027-8424
  • Cheng, Y.C., Fleming, G.R., (2009) Annu. Rev. Phys. Chem., 60 (1), pp. 241-262. , 10.1146/annurev.physchem.040808.090259 0066-426X
  • Ishizaki, A., Fleming, G.R., (2009) Proc. Natl Acad. Sci. USA, 106 (41), pp. 17255-17260. , 10.1073/pnas.0908989106 0027-8424
  • Chin, A.W., Huelga, S.F., Plenio, M.B., (2012) Phil. Trans. R. Soc., 370 (1972), pp. 3638-3657. , 10.1098/rsta.2011.0224 1364-503X A
  • Tronrud, D., Wen, J., Gay, L., Blankenship, R., (2009) Photosynth. Res., 100 (2), pp. 79-87. , 10.1007/s11120-009-9430-6 0166-8595
  • Ritschel, G., Roden, J., Strunz, W.T., Aspuru-Guzik, A., Eisfeld, A., (2011) J. Phys. Chem. Lett., 2 (22), pp. 2912-2917. , 10.1021/jz201119j 1948-7185
  • Olbrich, C., Jansen, T.L.C., Liebers, J., Aghtar, M., Strümpfer, J., Schulten, K., Knoester, J., Kleinekathöfer, U., (2011) J. Phys. Chem., 115 (26), pp. 8609-8621. , 10.1021/jp202619a 1520-6106 B
  • Renger, T., May, V., (1998) J. Phys. Chem., 102 (23), p. 4381. , 10.1021/jp9800665 1089-5639 A
  • Mohseni, M., Rebentrost, P., Lloyd, S., Aspuru-Guzik, A., (2008) J. Chem Phys., 129 (17). , 10.1063/1.3002335 0021-9606 174106
  • Plenio, M.B., Huelga, S.F., (2008) New J. Phys., 10 (11). , 10.1088/1367-2630/10/11/113019 1367-2630 113019
  • Scholes, G.D., Fleming, G.R., (2005) Energy Transfer and Photosynthetic Light Harvesting, pp. 57-129
  • Dorner, R., Goold, J., Heaney, L., Farrow, T., Vedral, V., (2012) Phys. Rev., 86 (3). , 10.1103/PhysRevE.86.031922 1539-3755 E 031922
  • Brookes, J.C., Hartoutsiou, F., Horsfield, A.P., Stoneham, A.M., Could humans recognize odor by phonon assisted tunneling? (2007) Physical Review Letters, 98 (3), p. 038101. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.98.038101&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.98.038101
  • Ritz, T., Adem, S., Schulten, K., (2000) Biophys. J., 78 (2), pp. 707-718. , 10.1016/S0006-3495(00)76629-X 0006-3495
  • Gauger, E.M., Rieper, E., Morton, J.J.L., Benjamin, S.C., Vedral, V., (2011) Phys. Rev. Lett., 106 (4). , 10.1103/PhysRevLett.106.040503 0031-9007 040503
  • Crooker, S.A., Hollingsworth, J.A., Tretiak, S., Klimov, V.I., (2002) Phys. Rev. Lett., 89 (18). , 10.1103/PhysRevLett.89.186802 0031-9007 186802
  • Nazir, A., (2009) Phys. Rev. Lett., 103 (14). , 10.1103/PhysRevLett.103.146404 0031-9007 146404
  • Rozbicki, E., Machnikowski, P., (2009) Phys. Rev. Lett., 100 (2). , 10.1103/PhysRevLett.100.027401 0031-9007 027401
  • Gerardot, B.D., Strauf, S., De Dood, M.J.A., Bychkov, A.M., Badolato, A., Hennessy, K., Hu, E.L., Petroff, P.M., Photon statistics from coupled quantum dots (2005) Physical Review Letters, 95 (13), p. 137403. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:95, DOI 10.1103/PhysRevLett.95.137403
  • Klein, A., Bruderer, M., Clark, S.R., Jaksch, D., Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates (2007) New Journal of Physics, 9, p. 411. , http://www.iop.org/EJ/article/1367-2630/9/11/411/njp7_11_411.pdf? request-id=qJk6Kk-a3BGJwNAY3Ai7Kg, DOI 10.1088/1367-2630/9/11/411, PII S1367263007575762
  • Makri, N., Makarov, D.E., (1995) J. Chem. Phys., 102 (11), pp. 4600-4610. , 10.1063/1.469508 0021-9606
  • Makri, N., Makarov, D.E., (1995) J. Chem. Phys., 102 (11), pp. 4611-4618. , 10.1063/1.469509 0021-9606
  • Nalbach, P., Ishizaki, A., Fleming, G.R., Thorwart, M., (2011) New J. Phys., 13 (6). , 1367-2630 063040
  • Ishizaki, A., Fleming, G.R., (2009) J. Chem. Phys., 130 (23). , 10.1063/1.3155372 0021-9606 234111
  • Tanaka, M., Tanimura, Y., (2010) J. Chem. Phys., 132 (21). , 10.1063/1.3428674 0021-9606 214502
  • Prior, J., Chin, A.W., Huelga, S.F., Plenio, M.B., (2010) Phys. Rev. Lett., 105 (5). , 10.1103/PhysRevLett.105.050404 0031-9007 050404
  • Breuer, H.P., Petruccione, F., (2002) The Theory of Open Quantum Systems
  • Roden, J., Eisfeld, A., Wolff, W., Strunz, W.T., (2009) Phys. Rev. Lett., 103 (5). , 10.1103/PhysRevLett.103.058301 0031-9007 058301
  • Berkelbach, T.C., Reichman, D.R., Markland, T.E., (2012) J. Chem. Phys., 136 (3). , 10.1063/1.3671372 0021-9606 034113
  • Fleming, C.H., Cummings, N.I., (2011) Phys. Rev., 83 (3). , 10.1103/PhysRevE.83.031117 1539-3755 E 031117
  • Holstein, T., (1959) Ann. Phys., 8 (3), pp. 325-342. , 10.1016/0003-4916(59)90002-8 0003-4916
  • Holstein, T., (1959) Ann. Phys., 8, pp. 343-. , 89
  • Jackson, B., Silbey, R., (1983) J. Chem. Phys., 78 (6), pp. 4193-4196. , 10.1063/1.445096 0021-9606
  • McCutcheon, D.P.S., Nazir, A., (2010) New J. Phys., 12 (11). , 10.1088/1367-2630/12/11/113042 1367-2630 113042
  • McCutcheon, D.P.S., Nazir, A., (2011) Phys. Rev., 83 (16). , 10.1103/PhysRevB.83.165101 1098-0121 B 165101
  • Jang, S., Cheng, Y.C., Reichman, D.R., Eaves, J.D., (2008) J. Chem. Phys., 129 (10). , 10.1063/1.2977974 0021-9606 101104
  • Jang, S., (2009) J. Chem. Phys., 131 (16). , 10.1063/1.3247899 0021-9606 164101
  • Jang, S., (2011) J. Chem. Phys., 135 (3). , 10.1063/1.3608914 0021-9606 034105
  • Kolli, A., Nazir, A., Olaya-Castro, A., (2011) J. Chem. Phys., 135 (15). , 10.1063/1.3652227 0021-9606 154112
  • Silbey, R., Harris, R.A., (1984) J. Chem. Phys., 80 (6), pp. 2615-2617. , 10.1063/1.447055 0021-9606
  • Harris, R.A., Silbey, R., (1985) J. Chem. Phys., 83 (3), pp. 1069-1074. , 10.1063/1.449469 0021-9606
  • McCutcheon, D.P.S., Dattani, N.S., Gauger, E.M., Lovett, B.W., Nazir, A., (2011) Phys. Rev., 84 (8). , 10.1103/PhysRevB.84.081305 1098-0121 B 081305
  • McCutcheon, D.P.S., Nazir, A., (2011) J. Chem. Phys., 135 (11). , 10.1063/1.3636081 0021-9606 114501
  • Nazir, A., McCutcheon, D.P.S., Chin, A.W., (2012) Phys. Rev., 85 (22). , 10.1103/PhysRevB.85.224301 1098-0121 B 224301
  • Zimanyi, E., Silbey, R., (2012) Phil. Trans. R. Soc., 370 (1972), p. 3620. , 10.1098/rsta.2011.0204 1364-503X A
  • Lee, C.K., Moix, J., Cao, J., (2012) J. Chem. Phys., 136 (20). , 10.1063/1.4722336 0021-9606 204120
  • Stace, T.M., Doherty, A.C., Barrett, S.D., Population inversion of a driven two-level system in a structureless bath (2005) Physical Review Letters, 95 (10), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:95, DOI 10.1103/PhysRevLett.95.106801, 106801
  • Olbrich, C., Strümpfer, J., Schulten, K., Kleinekathöfer, U., (2011) J. Phys. Chem., 115 (4), pp. 758-764. , 10.1021/jp1099514 1520-6106 B
  • Binney, J.J., Dowrick, N.J., Fisher, A.J., Newman, M.E.J., (1992) The Theory of Critical Phenomena
  • Nalbach, P., Braun, D., Thorwart, M., (2011) Phys. Rev., 84 (4). , 10.1103/PhysRevE.84.041926 1539-3755 E 041926
  • Chin, A., Turlakov, M., Coherent-incoherent transition in the sub-Ohmic spin-boson model (2006) Physical Review B - Condensed Matter and Materials Physics, 73 (7), pp. 1-11. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevB.73.075311&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevB.73.075311, 075311

Citas:

---------- APA ----------
Pollock, F.A., McCutcheon, D.P.S., Lovett, B.W., Gauger, E.M. & Nazir, A. (2013) . A multi-site variational master equation approach to dissipative energy transfer. New Journal of Physics, 15.
http://dx.doi.org/10.1088/1367-2630/15/7/075018
---------- CHICAGO ----------
Pollock, F.A., McCutcheon, D.P.S., Lovett, B.W., Gauger, E.M., Nazir, A. "A multi-site variational master equation approach to dissipative energy transfer" . New Journal of Physics 15 (2013).
http://dx.doi.org/10.1088/1367-2630/15/7/075018
---------- MLA ----------
Pollock, F.A., McCutcheon, D.P.S., Lovett, B.W., Gauger, E.M., Nazir, A. "A multi-site variational master equation approach to dissipative energy transfer" . New Journal of Physics, vol. 15, 2013.
http://dx.doi.org/10.1088/1367-2630/15/7/075018
---------- VANCOUVER ----------
Pollock, F.A., McCutcheon, D.P.S., Lovett, B.W., Gauger, E.M., Nazir, A. A multi-site variational master equation approach to dissipative energy transfer. New J. Phys. 2013;15.
http://dx.doi.org/10.1088/1367-2630/15/7/075018