Coherent transport on Apollonian networks and continuous-time quantum walks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 5, 2008, Pages

  Xu, Xin Ping ^a,b   Li, Wei ^a,c   Liu, Feng ^a  

^a CENTRAL CHINA NORMAL UNIVERSITY   (China)

^b INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^c MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME SYSTEMS; DYNAMICS; EXCITONS; LARGE SCALE SYSTEMS; NUMERICAL ANALYSIS; PROBABILITY; QUANTUM ELECTRONICS; RANDOM PROCESSES;

APOLLONIAN NETWORKS; CENTRAL NODES; CHARACTERISTIC PATTERNS; CLASSICAL TRANSPORTS; COHERENT TRANSPORTS; CONTINUOUS TIMES; EXCITON DYNAMICS; EXCITON TRANSPORTS; INITIAL EXCITATIONS; LONG TIMES; LOW PROBABILITIES; QUANTUM TRANSPORTS; RANDOM WALKS; SECOND GENERATIONS; TRANSITION PROBABILITIES;

QUANTUM CHEMISTRY;

EID: 57349089300     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.052103     Document Type: Article

References (25)

1. J. Kempe, Contemp. Phys. 44, 307 (2002).
2. G. H. Weiss, Aspect and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
3. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990). 10.1016/0370-1573(90)90099-N
4. D. Solenov and L. Fedichkin, Phys. Rev. A 73, 012313 (2006). 10.1103/PhysRevA.73.012313
5. H. Krovi and T. A. Brun, Phys. Rev. A 73, 032341 (2006). 10.1103/PhysRevA.73.032341
6. E. M. Bollt and D. ben-Avraham, New J. Phys. 7, 26 (2005). 10.1088/1367-2630/7/1/026
7. O. Mülken, V. Bierbaum, and A. Blumen, J. Chem. Phys. 124, 124905 (2006). 10.1063/1.2179427
8. A. Blumen, V. Bierbaum, and O. Mülken, Physica A 371, 10 (2006). 10.1016/j.physa.2006.04.078
9. N. Ashwin and V. Ashvin, e-print arXiv:quant-ph/0010117.
10. O. Mülken and A. Blumen, Phys. Rev. E 71, 016101 (2005). 10.1103/PhysRevE.71.016101
11. O. Mülken, V. Pernice, and A. Blumen, Phys. Rev. E 76, 051125 (2007). 10.1103/PhysRevE.76.051125
12. R. Albert and A.-L. Barabäsi, Rev. Mod. Phys. 74, 47 (2002). 10.1103/RevModPhys.74.47
13. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). 10.1016/j.physrep.2005.10.009
14. J. S. Andrade, H. J. Herrmann, R. F. S. Andrade, and L. R. da Silva, Phys. Rev. Lett. 94, 018702 (2005). 10.1103/PhysRevLett.94.018702
15. J. P. K. Doye and C. P. Massen, Phys. Rev. E 71, 016128 (2005). 10.1103/PhysRevE.71.016128
16. A. M. C. Souza and H. Herrmann, Phys. Rev. B 75, 054412 (2007). 10.1103/PhysRevB.75.054412
17. A. P. Vieira, J. S. Andrade, H. J. Herrmann, and R. F. S. Andrade, Phys. Rev. E 76, 026111 (2007). 10.1103/PhysRevE.76.026111
18. P. G. Lind, J. A. C. Gallas, and H. J. Herrmann, Phys. Rev. E 70, 056207 (2004). 10.1103/PhysRevE.70.056207
19. O. Mülken and A. Blumen, Phys. Rev. E 71, 016101 (2005). 10.1103/PhysRevE.71.016101
20. O. Mülken and A. Blumen, Phys. Rev. E 71, 036128 (2005). 10.1103/PhysRevE.71.036128
21. X. P. Xu, Phys. Rev. E 77, 061127 (2008). 10.1103/PhysRevE.77.061127
22. R. F. S. Andrade and J. G. V. Miranda, Physica A 356, 1 (2005). 10.1016/j.physa.2005.05.003
23. R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, Phys. Rev. Lett. 95, 053902 (2005). 10.1103/PhysRevLett.95. 053902
24. F. Grossmann, J.-M. Rost, and W. P. Schleich, J. Phys. A 30, L277 (1997). 10.1088/0305-4470/30/9/004
25. Y. Yin, D. E. Katsanos, and S. N. Evangelou, Phys. Rev. A 77, 022302 (2008). 10.1103/PhysRevA.77.022302