Slow transport by continuous time quantum walks

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

Volumn 71, Issue 1, 2005, Pages

  Mülken, Oliver ^a   Blumen, Alexander ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS TIME QUANTUM WALKS; NONDIAGONAL ELEMENTS; SYMMETRY AXIS; TRANSFER MATRIX;

EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; LATTICE CONSTANTS; MATRIX ALGEBRA; PROBABILITY; TRANSPORT PROPERTIES;

QUANTUM THEORY;

EID: 41349091800     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.016101     Document Type: Article

References (13)

1. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
2. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002).
3. S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002).
4. J. Kempe, Contemp. Phys. 44, 307 (2003).
5. N. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1990).
6. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
7. Y. Aharonov, L. Davidovich, and N. Zagury, Phys. Rev. A 48, 1687 (1993).
8. E. Farhi and S. Gutmann, Phys. Rev. A 58, 915 (1998).
9. O. Mülken and H. van Beijeren, Phys. Rev. E 69, 046203 (2004).
10. A. M. Childs, E. Farhi, and S. Gutmann, Quantum Inf. Process. 1, 35 (2002).
11. D. Aharonov, A. Ambainis, J. Kempe, and U, Vazirani, in Proceedings of ACM Symposium on Theory of Computation (STOC'01)(2001), p. 50.
12. A. Blumen, A. Jurjiu, Th. Koslowski, and C. von Ferber, Phys. Rev. E 67, 061103 (2003).
13. A. Blumen, C. von Ferber, A. Jurjiu, and Th. Koslowski, Macromolecules 37, 638 (2004).