A novel construction of complex-valued Gaussian processes with arbitrary spectral densities and its application to excitation energy transfer

Journal of Chemical Physics

Volumn 138, Issue 22, 2013, Pages

  Chen, Xin ^a   Cao, Jianshu ^a   Silbey, Robert J ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLING COEFFICIENT; COVARIANCE DECOMPOSITIONS; FUTURE APPLICATIONS; INITIAL CONDITIONS; LIGHT-HARVESTING ANTENNAS; NON-MARKOVIAN EFFECTS; REDUCED-DENSITY MATRIX; THEORETICAL FRAMEWORK;

ENERGY TRANSFER; EXCITATION ENERGY; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); LINEAR SYSTEMS; MONTE CARLO METHODS; PHONONS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

SPECTRAL DENSITY;

EID: 84879105830     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4808377     Document Type: Article

References (51)

1. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems, 3rd ed. (Wiley-VCH, 2011).
2. A. Nitzan, Chemical Dynamics in Condensed Phases: Relaxation, Transfer, and Reactions in Condensed Molecular Systems, 1st ed. (Oxford University Press, 2006).
3. M. O. Scully, Quantum Optics, 1st ed. (Cambridge University Press, 1997).
4. G. S. Engel, T. R. Calhoun, E. L. Read, T.-K. Ahn, T. Mancal, Y.-C. Cheng, R. E. Blankenship, and G. R. Fleming, Nature (London) 446, 782 (2007). 10.1038/nature05678
5. J. Moix, J. Wu, P. Huo, D. Coker, and J. Cao, J. Phys. Chem. Lett. 2, 3045 (2011). 10.1021/jz201259v
6. U. Weiss, Quantum Dissipative Systems, 3rd ed. (World Scientific Publishing Company, 2012).
7. W. T. Coffey and Y. P. Kalmykov, The Langevin Equation: With Applications to Stochastic Problems in Physics, Chemistry and Electrical Engineering, 2nd ed. (World Scientific Publishing Company, 2012).
8. B. Øksendal, Stochastic Differential Equations: An Introduction with Applications, 6th ed. (Springer, 2010).
9. R. Zwanzig, Nonequilibrium Statistical Mechanics (Oxford University Press, 2001).
10. C. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, 2nd ed. (Springer, 2004).
11. R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962). 10.1143/JPSJ.17.1100
12. Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 101 (1989). 10.1143/JPSJ.58.101
13. Y. Yan, F. Yang, Y. Liu, and J. Shao, Chem. Phys. Lett. 395, 216 (2004). 10.1016/j.cplett.2004.07.036
14. V. Shapiro and V. Loginov, Physica A 91, 563 (1978). 10.1016/0378- 4371(78)90198-X
15. J. Cao, L. W. Ungar, and G. A. Voth, J. Chem. Phys. 104, 4189 (1996). 10.1063/1.471230
16. S. Shim and A. Aspuru-Guzik, J. Chem. Phys. 137, 22A538 (2012). 10.1063/1.4751487
17. W. Koch, F. Großmann, J. T. Stockburger, and J. Ankerhold, Phys. Rev. Lett. 100, 230402 (2008). 10.1103/PhysRevLett.100.230402
18. T. C. Berkelbach, D. R. Reichman, and T. E. Markland, J. Chem. Phys. 136, 034113 (2012). 10.1063/1.3671372
19. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4600 (1995). 10.1063/1.469508
20. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4611 (1995). 10.1063/1.469509
21. W. T. Strunz, Phys. Lett. A 224, 25 (1996). 10.1016/S0375-9601(96)00805-5
22. J. Shao, Chem. Phys. 370, 29 (2010). 10.1016/j.chemphys.2009.12.027
23. J. T. Stockburger and C. H. Mak, Phys. Rev. Lett. 80, 2657 (1998). 10.1103/PhysRevLett.80.2657
24. J. Cao, J. Chem. Phys. 107, 3204 (1997). 10.1063/1.474670
25. Y.-C. Cheng and G. R. Fleming, Annu. Rev. Phys. Chem. 60, 241 (2009). 10.1146/annurev.physchem.040808.090259
26. C. M. Smith and A. O. Caldeira, Phys. Rev. A 36, 3509 (1987). 10.1103/PhysRevA.36.3509
27. J. Shao, J. Chem. Phys. 120, 5053 (2004). 10.1063/1.1647528
28. J. Shao, Chem. Phys. 322, 187 (2006). 10.1016/j.chemphys.2005.08.007
29. Y. Zhou, Y. Yan, and J. Shao, EPL 72, 334 (2005). 10.1209/epl/i2005- 10262-4
30. D. D. Dlott, Annu. Rev. Phys. Chem. 37, 157 (1986). 10.1146/annurev.pc. 37.100186.001105
31. Y. Tanimura and R. Kubo, J. Phys. Soc. Jpn. 58, 1199 (1989). 10.1143/JPSJ.58.1199
32. B. Jackson and R. Silbey, J. Chem. Phys. 75, 3293 (1981). 10.1063/1.442479
33. K. S. Miller, SIAM Rev. 11, 544 (1969). 10.1137/1011088
34. X. Chen and R. J. Silbey, J. Chem. Phys. 132, 204503 (2010). 10.1063/1.3435211
35. H. Sumi, J. Chem. Phys. 67, 2943 (1977). 10.1063/1.435259
36. A. Blumen and R. Silbey, J. Chem. Phys. 69, 3589 (1978). 10.1063/1.437065
37. G. H. Golub and C. F. van Van Loan, Matrix Computations (The Johns Hopkins University Press, 1996).
38. A. J. Izenman, Modern Multivariate Statistical Techniques: Regression, Classification, and Manifold Learning, 1st ed. (Springer, 2008).
39. R. M. Mazo, Brownian Motion: Fluctuations, Dynamics, and Applications (Oxford University Press, 2009).
40. J. K. Cullum and R. A. Willoughby, Lanczos Algorithms for Large Symmetric Eigenvalue Computations (SIAM, 2002).
41. M. A. Palenberg, R. J. Silbey, C. Warns, and P. Reineker, J. Chem. Phys. 114, 4386 (2001). 10.1063/1.1330213
42. G. B. Rybicki and W. H. Press, Phys. Rev. Lett. 74, 1060 (1995). 10.1103/PhysRevLett.74.1060
43. A. Ishizaki and G. R. Fleming, Proc. Natl. Acad. Sci. U.S.A. 106, 17255 (2009). 10.1073/pnas.0908989106
44. X. Chen and R. J. Silbey, J. Phys. Chem. B 115, 5499 (2011). 10.1021/jp111068w
45. S. I. E. Vulto, M. A. de Baat, R. J. W. Louwe, H. P. Permentier, T. Neef, M. Miller, H. van Amerongen, and T. J. Aartsma, J. Phys. Chem. B 102, 9577 (1998). 10.1021/jp982095l
46. M. Cho, H. M. Vaswani, T. Brixner, J. Stenger, and G. R. Fleming, J. Phys. Chem. B 109, 10542 (2005). 10.1021/jp050788d
47. G.-L. Ingold, in Coherent Evolution in Noisy Environments, Lecture Notes in Physics Vol. 611, edited by, A. Buchleitner, and, K. Hornberger, (Springer, Berlin, 2002).
48. Zero-Phonon Lines and Spectral Hole Burning in Spectroscopy and Photochemistry, 1st ed., edited by, O. Sild, and, K. Haller, (Springer, 1988).
49. J. Friedrich and D. Haarer, Angew. Chem., Int. Ed. Engl. 23, 113 (1984). 10.1002/anie.198401131
50. M. Yang and G. R. Fleming, Chem. Phys. 275, 355 (2002). 10.1016/S0301-0104(01)00540-7
51. Y. C. Cheng and R. J. Silbey, J. Phys. Chem. B 109, 21399 (2005). 10.1021/jp051303o