Diffusive-Ballistic Crossover in 1D Quantum Walks

Physical Review Letters

Volumn 90, Issue 23, 2003, Pages 4-

  Wójcik, Daniel K ^a   Dorfman, J R ^b  

^a UNIVERSITY OF MARYLAND   (United States)

^b University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038343623     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.90.230602     Document Type: Article

References (20)

1. J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
2. P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
3. D.K. Wójcik and J.R. Dorfman, Phys. Rev. EPLEEE810.1103/PhysRevE.66.036110 66, 036110 (2002).
4. S. Godoy and L.S. Garcia-Colin, Phys. Rev. EPLEEE810.1103/PhysRevE.53.5779 53, 5779 (1996);
5. A. Ambainis et al, in Proceedings of the 33rd Symposium on the Theory of Computing (STOC) (Association for Computing Machinery, New York, 2001), pp.�37–49.
6. B.C. Travaglione and G.J. Milburn, Phys. Rev. A10.1103/PhysRevA.65.032310 65, 032310 (2002);
7. W. Dür, R. Raussendorfer, V.M. Kendon, and H.-J. Briegel, Phys. Rev. A10.1103/PhysRevA.66.052319 66, 052319 (2002).
8. T.A. Brun and R. Schack, Phys. Rev. A10.1103/PhysRevA.59.2649 59, 2649 (1999).
9. Y.S. Weinstein, S. Lloyd, J. Emerson, and D.G. Cory, Phys. Rev. Lett.10.1103/PhysRevLett.89.157902 89, 157902 (2002).
10. P. Gaspard, J. Stat. Phys. 68, 673 (1992).
11. S. Tasaki and P. Gaspard, J. Stat. Phys. 81, 935 (1995).
12. J.H. Hannay and M.V. Berry, Physica (Amsterdam)10.1016/0167-2789(80)90026-3 1D, 267 (1980).
13. M. Saraceno, Ann. Phys. (N.Y.)APNYA6 199, 37 (1990).
14. S. DeBievre, M.D. Esposti, and R. Giachetti, Commun. Math. Phys. 176, 73 (1996).
15. N.L. Balazs and A. Voros, Ann. Phys. (N.Y.)APNYA6 190, 1 (1989).
16. D.K. Wójcik and J.R. Dorfman (to be published);
17. D.K. WójcikJ.R. Dorfmannlin.CD/0212036.
18. F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 2001), 2nd ed.
19. M. Kuś et al, J. Phys. AJPHAC5 21, L1073 (1988).
20. M.L. Mehta, Random Matrices (Academic Press, New York, 1991).