Effective single-particle order- N scheme for the dynamics of open noninteracting many-body systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 5, 2008, Pages

  Pershin, Yu V ^a   Dubi, Y ^a   Di Ventra, M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49649089195     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.054302     Document Type: Article

References (26)

1. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(63)90068-X 24, 118 (1963).
2. A. O. Caldeira and A. J. Legget, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(83)90202-6 149, 374 (1983).
3. For a comprehensive review, see, e.g., U. Weiss, Quantum Dissipative Systems, Series in Modern Condensed Matter Physics Vol. 10 (World Scientific, Singapore, 2006).
4. M. Di Ventra, Electrical Transport in Nanoscale Systems (Cambridge University Press, Cambridge, England, 2008).
5. N. Bushong, N. Sai, and M. Di Ventra, Nano Lett. NALEFD 1530-6984 10.1021/nl0520157 5, 2569 (2005).
6. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1959). 0018-8646
7. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry, 2nd ed. (North-Holland, Amsterdam, 2001).
8. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
9. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1990).
10. An excellent review on the use of both the density-matrix methods and the stochastic Schrödinger equation in various problems may be found in, e.g., H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
11. M. Di Ventra and R. D'Agosta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.226403 98, 226403 (2007)
12. R. D'Agosta and M. Di Ventra, arXiv:0805.3734 (unpublished).
13. N. Bushong and M. Di Ventra, arXiv:0711.0762 (unpublished).
14. For the stochastic Schrödinger equations we need to solve for CNM -1 elements of the state vector but average over an amount, call it m, of different realizations of the stochastic process.
15. Yu. V. Pershin and C. Piermarocchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.245331 72, 245331 (2005)
16. Yu. V. Pershin and C. Piermarocchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.125348 72, 125348 (2005).
17. K. Nobusada and K. Yabana, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032518 75, 032518 (2007).
18. Note that for our choice of parameters the continuity equation is satisfied to a high degree of accuracy.
19. Y. Dubi and M. Di Ventra, arXiv:0805.1415 (unpublished).
20. See, e.g., B. Ludoph and J. M. van Ruitenbeek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.12290 59, 12290 (1999) and other references in Ref..
21. See, e.g., R. Gebauer and R. Car, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.125324 70, 125324 (2004).
22. C. F. Huang and K.-N. Huang, Chin. J. Phys. (Taipei) 42, 221 (2004). 0031-8914
23. L. Bonig and K. Schonhammer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.9203 47, 9203 (1993).
24. H. P. Dahal, Y. N. Joglekar, K. S. Bedell, and A. V. Balatsky, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.233405 74, 233405 (2006)
25. H. Dahal, J. Julien, and A. Balatsky, arXiv:0712.2836 (unpublished).
26. F. A. Maaø and L. Y. Gorelik, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.15885 53, 15885 (1996).