Decoherence of fermions subject to a quantum bath

Advances in Solid State Physics

Volumn 46, Issue , 2007, Pages 169-181

  Marquardt, Florian ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37549068914     PISSN: 14384329     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-38235-5_13     Document Type: Article

References (39)

1. E. Joos et al.: Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Heidelberg, 2003)
2. W. H. Zurek: Decoherence and the transition from quantum to classical, Phys. Today 44, 36 (1991)
3. K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1996)
4. U. Weiss: Quantum Dissipative Systems (World Scientific, Singapore, 2000)
5. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, W. Zwerger: Dynamics of the dissipative two-state system, Rev. Mod. Phys. 59, 1-85 (1987)
6. C. H. Bennett, D. P. DiVincenzo: Quantum information and computation, Nature 404, 247-255 (2000)
7. C. W. J. Beenakker, H. van Houten: Quantum transport in semiconductor nanostructures, Solid State Phys. 44, 1-228 (1991)
8. A. Stern, Y. Aharonov, Y. Imry: Phase uncertainty and loss of interference: A general picture, Phys. Rev. A 41, 3436-3448 (1990)
9. D. Loss, K. Mullen: Dephasing by a dynamic asymmetric environment, Phys. Rev. B 43, 13252 (1991)
10. Y. Imry: Introduction to Mesoscopic Physics, 2nd ed. (Oxford University Press, 2002)
11. R. P. Feynman, F. L. Vernon: The theory of a general quantum mechanical system interacting with a linear dissipative system, Ann. Phys. (NY) 24, 118-173. (1963)
12. A. H. C. Neto, C. D. Chamon, C. Nayak: Open Luttinger liquids, Phys. Rev. Lett. 79, 4629 (1997)
13. P. Cedraschi, V. V. Ponomarenko, M. Büttiker: Zero-point fluctuations and the quenching of the persistent current in normal metal rings, Phys. Rev. Lett. 84, 346-349 (2000)
14. F. Marquardt, C. Bruder: Aharonov-Bohm ring with fluctuating flux, Phys. Rev. B 65, 125315 (2002)
15. F. Marquardt, C. Bruder: Dephasing in sequential tunneling through a double-dot interferometer, Phys. Rev. B 68, 195305 (2003)
16. F. Marquardt, D. S. Golubev: Relaxation and dephasing in a many-fermion generalization of the caldeira-leggett model, Phys. Rev. Lett. 93, 130404 (2004)
17. F. Marquardt, D. S. Golubev: Many-fermion generalization of the Caldeira-Leggett model, Phys. Rev. A 72, 022113 (2005)
18. F. Marquardt: Fermionic Mach-Zehnder interferometer subject to a quantum bath, Europhys. Lett. 72, 788 (2005)
19. Y. Ji, Y. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, H. Shtrikman: An electronic Mach-Zehnder interferometer, Nature 422, 415 (2003)
20. I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, V. Umansky: Unexpected behavior in a two-path electron interferometer, Phys. Rev. Lett. 96 016804 (2006)
21. G. Seelig, M. Buttiker: Charge-fluctuation-induced dephasing in a gated mesoscopic interferometer, Phys. Rev. B 64, 245313 (2001)
22. F. Marquardt, C. Bruder: Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer, Phys. Rev. Lett. 92, 056805 (2004)
23. F. Marquardt, C. Bruder: Effects of dephasing on shot noise in an electronic Mach-Zehnder interferometer, Phys. Rev. B 70, 125305 (2004)
24. H. Förster, S. Pilgram, M. Büttiker: Decoherence and full counting statistics in a Mach-Zehnder interferometer, Phys. Rev. B 72, 075301 (2005)
25. S. Pilgram, P. Samuelsson, H. Forster, M. Büttiker: Full counting statistics for voltage and dephasing probes, cond-mat/0512276
26. F. Marquardt: Equations of motion approach to decoherence and current noise in ballistic interferometers coupled to a quantum bath, cond-mat/ 0604458 (2006)
27. A. O. Caldeira, A. J. Leggett: Path integral approach to quantum Brownian motion, Physica 121A, 587 (1983)
28. Ya. M. Blanter, M. Büttiker: Shot noise in mesoscopic conductors, Phys. Rep. 336, 1 (2000)
29. B. L. Altshuler, A. G. Aronov, D. E. Khmelnitsky: Effects of electron-electron collisions with small energy transfers on quantum localization, J. Phys. C Solid State 15, 7367 (1982)
30. S. Chakravarty, A. Schmid: Weak localization: The quasiclassical theory of electrons in a random potential, Phys. Rep. 140, 195 (1986)
31. H. Fukuyama, E. Abrahams: Inelastic scattering time in two-dimensional disordered metals, Phys. Rev. B 27, 5976 (1983)
32. I. Aleiner, B. L. Altshuler, M. E. Gershenzon: Interaction effects and phase relaxation in disordered systems,Waves in Random Media 9, 201 (1999) [condmat/9808053]
33. F. Marquardt, J. v. Delft, R. Smith, V. Ambegaokar: Decoherence in weak localization I: Pauli principle in influence functional, cond-mat/0510556
34. J. v. Delft, F. Marquardt, R. Smith, V. Ambegaokar: Decoherence in weak localization II: Bethe-Salpeter calculation of Cooperon, cond-mat/0510557
35. J. v. Delft: Influence functional for decoherence of interacting electrons in disordered conductors, cond-mat/0510563
36. D. S. Golubev, A. D. Zaikin: Quantum decoherence and weak localization at low temperatures, Phys. Rev. B 59, 9195 (1999)
37. In contrast, the decoherence rate given in Ref. [35] is equal to that obtained for a single particle, with f = 0 in our formula, thus saturating at T = 0. We should note that the authors of Ref. 35 disagree with our conclusions, see their comment: D. S. Golubev and A. D. Zaikin, cond-mat/0512411.
38. W. Eiler: Electron-electron interaction and weak localization, J. Low Temp. Phys. 56, 481 (1984)
39. D. Cohen, Y. Imry: Dephasing at low temperatures, Phys. Rev. B 59, 11143 (1999)