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  • Access by Xinjiang University

Decoherence and spin echo in biological systems

Alexander I. Nesterov*

Gennady P. Berman

  • Departamento de Física, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, Guadalajara, CP 44420, Jalisco, México

  • Theoretical Division, T-4, Los Alamos National Laboratory, and the New Mexico Consortium, Los Alamos, New Mexico 87544, USA

  • *nesterov@cencar.udg.mx
  • gpb@lanl.gov

Phys. Rev. E 91, 052702 – Published 7 May, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.052702

Abstract

The spin-echo approach is extended to include biocomplexes for which the interaction with dynamical noise, produced by the protein environment, is strong. Significant restoration of the free induction decay signal due to homogeneous (decoherence) and inhomogeneous (dephasing) broadening is demonstrated analytically and numerically for both an individual dimer of interacting chlorophylls and for an ensemble of dimers. Our approach does not require the use of small interaction constants between the electron states and the protein fluctuations. It is based on an exact and closed system of ordinary differential equations that can be easily solved for a wide range of parameters that are relevant for bioapplications.

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References (22)

  1. M. Mohseni, Y. Omar, G. S. Engel, and M. B. Plenio (eds.), Quantum Effects in Biology (Cambridge University Press, Cambridge, UK, 2014).
  2. H. Dong and G. R. Fleming, J. Phys. Chem. B 118, 8956 (2014).
  3. E. L. Hahn, Phys. Rev. 80, 580 (1950).
  4. R. J. Abraham, J. Fisher, and P. Loftus, Introduction to NMR Spectroscopy (Wiley, Chichester, 1988).
  5. G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, and G. Schön, Phys. Rev. B 72, 134519 (2005).
  6. J. Bergli, Y. M. Galperin, and B. L. Altshuler, New J. Phys. 11, 025002 (2009).
  7. Y. M. Galperin, B. L. Altshuler, J. Bergli, D. Shantsev, and V. Vinokur, Phys. Rev. B 76, 064531 (2007).
  8. A. I. Nesterov and G. P. Berman, Phys. Rev. A 85, 052125 (2012).
  9. M. Mohseni, P. Rebentrost, S. Lloyd, and A. Aspuru-Guzik, J. Chem. Phys. 129, 174106 (2008).
  10. D. Xu and K. Schulten, Chem. Phys. 182, 91 (1994).
  11. M. Merkli, G. P. Berman, and S. T. Sayre, J. Math. Chem. 51, 890 (2013).
  12. T. G. Dewey and J. G. Bann, Biophys. J. 63, 594 (1992).
  13. M. Pudlak, Physica A 341, 444 (2004).
  14. M. Pudlak, K. N. Pichugin, R. G. Nazmitdinov, and R. Pincak, Phys. Rev. E 84, 051912 (2011).
  15. A. I. Nesterov, G. P. Berman, and A. R. Bishop, Fortschr. Phys. 61, 95 (2013).
  16. J. M. Moix and J. Cao, J. Chem. Phys. 139, 134106 (2013).
  17. F. Bloch, Phys. Rev. 105, 1206 (1957).
  18. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957).
  19. M. Yang and G. R. Fleming, Chem. Phys. 275, 355 (2002).
  20. V. Klyatskin, Dynamics of Stochastic Systems (Elsevier, Amsterdam, 2005).
  21. F. Bretenaker and N. Treps (eds.), Laser: 50 Years of Discoveries (World Scientific, Singapore, 2015).
  22. A. I. Nesterov and G. P. Berman, Phys. Rev. E 91, 042702 (2015).

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