Transition from diffusive to ballistic dynamics for a class of finite quantum models

Physical Review Letters

Volumn 99, Issue 15, 2007, Pages

  Steinigeweg, Robin ^a   Breuer, Heinz Peter ^b   Gemmer, Jochen ^a  

^a UNIVERSITY OF OSNABRÜCK   (Germany)

^b UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BALLISTICS; DIFFUSION; MATHEMATICAL MODELS; NUMERICAL METHODS; PARAMETER ESTIMATION; SCHRODINGER EQUATION;

BALLISTIC DYNAMICS; EXCITATION PROBABILITIES; FINITE QUANTUM MODELS; TIME CONVOLUTIONLESS PROJECTION OPERATOR TECHNIQUE;

ELECTRON TRANSITIONS;

EID: 35148875986     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.150601     Document Type: Article

References (27)

1. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer, Berlin, 1991).
2. G.D. Mahan, Many Particle Systems (Plenum, New York, 1990).
3. A. Klümper and K. Sakai, J. Phys. A JPHAC5 0305-4470 35, 2173 (2002). 10.1088/0305-4470/35/9/307
4. X. Zotos, F. Naef, and P. Prelovek, Phys. Rev. B PRBMDO 0163-1829 55, 11029 (1997). 10.1103/PhysRevB.55.11029
5. F. Heidrich-Meisner, A. Honecker, D. Cabra, and W. Brening, Phys. Rev. B PRBMDO 0163-1829 66, 140406 (2002). 10.1103/PhysRevB.66.140406
6. P. Jung, R.W. Helmes, and A. Rosch, Phys. Rev. Lett. 96, 067202 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.067202
7. R.E. Peierls, Quantum Theory of Solids (Claredon, Oxford, 2001).
8. W. Kohn and J.M. Luttinger, Phys. Rev. 108, 590 (1957). PHRVAO 0031-899X 10.1103/PhysRev.108.590
9. K. Aoki, J. Lukkarinen, and H. Spohn, J. Stat. Phys. 124, 1105 (2006). JSTPSB 0022-4715 10.1007/s10955-006-9171-2
10. K. Hornberger, Phys. Rev. Lett. 97, 060601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.060601
11. B. Vacchini, Int. J. Theor. Phys. 44, 1011 (2005). IJTPBM 0020-7748 10.1007/s10773-005-7077-4
12. L.P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962).
13. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986). RMPHAT 0034-6861 10.1103/RevModPhys.58.323
14. K. Bärwinkel, Z. Naturforsch. A 24, 22 (1969). ZTAKDZ 0340-4811
15. J.-S. Wang, J. Wang, and N. Zeng, Phys. Rev. B PRBMDO 0163-1829 74, 033408 (2006). 10.1103/PhysRevB.74.033408
16. K. Saito, Europhys. Lett. 61, 34 (2003). EULEEJ 0295-5075 10.1209/epl/i2003-00241-3
17. M. Michel, M. Hartmann, J. Gemmer, and G. Mahler, Eur. Phys. J. B EPJBFY 1434-6028 34, 325 (2003). 10.1140/epjb/e2003-00228-x
18. C. Mejía-Monasterio, T. Prosen, and G. Casati, Europhys. Lett. 72, 520 (2005). EULEEJ 0295-5075 10.1209/epl/i2005-10267-y
19. P.W. Anderson, Phys. Rev. 109, 1492 (1958). PHRVAO 0031-899X 10.1103/PhysRev.109.1492
20. M. Michel, J. Gemmer, and G. Mahler, Phys. Rev. Lett. 95, 180602 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.180602
21. J. Gemmer, R. Steinigeweg, and M. Michel, Phys. Rev. B PRBMDO 0163-1829 73, 104302 (2006). 10.1103/PhysRevB.73.104302
22. R. Steinigeweg, J. Gemmer, and M. Michel, Europhys. Lett. 75, 406 (2006). EULEEJ 0295-5075 10.1209/epl/i2006-10118-5
23. H.P. Breuer, J. Gemmer, and M. Michel, Phys. Rev. E 73, 016139 (2006). PLEEE8 1063-651X 10.1103/PhysRevE.73.016139
24. S. Nakajima, Prog. Theor. Phys. PTPKAV 0033-068X 20, 948 (1958). 10.1143/PTP.20.948
25. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960). JCPSA6 0021-9606 10.1063/1.1731409
26. H.P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University, Oxford, 2007).
27. S. Chaturvedi and F. Shibata, Z. Phys. B ZPBBDJ 0340-224X 35, 297 (1979). 10.1007/BF01319852