Abstract
The problem of low temperature decoherence of an electron inside a disordered conductor [1] is extremely important in many areas of physics. For instance [2], to verify predictions of the quantum theory, measurements have to be made. However, one prevalent interpretation requires the explicit existence of a classical apparatus for measurement. The necessity of classical mechanics to interpret quantum theory of which it should be a limiting case creates the so-called quantum measurement problem in addition to the fact that the measurement process itself is not described by quantum mechanics. The idea of decoherence or loss of quantum coherence — signifying transition from the quantum to the classical realm by the coupling to an environment — within the quantum mechanical framework at zero temperature is thus extremely fundamental. Despite its glaring necessity, most studies of decoherence are done in the high temperature (classical) limit for the environment. Any phenomenology which depicts zero temperature decoherence is thus essential to foundational problems [2] of quantum theory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. Mohanty, E.M.Q. Jariwala, and R.A. Webb, Phys. Rev. Lett. 78, 3366 (1997); P. Mohanty and R.A. Webb, Phys. Rev. B 55, R13452 (1997).
W. Zurek, Physics Today 44, 36 (1991).
A.A. Abrikosov, Fundamentals of the Theory of Metals (North-Holland, 1988).
P.A. Lee and T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985); A.M. Finkel’stein, Z. Phys. B 56, 189 (1984); C. Castellani et al., Phys. Rev. B 30, 1596 (1984); 33, 6169 (1986); 34, 5935 (1986); Phys. Rev. Lett. 59, 923 (1987); Phys. Rev. Lett. 59, 477 (1987).
P.W. Anderson, Phys. Rev. 109, 1492 (1958).
B.L. Altshuler and A.G. Aronov, Solid State Commun. 30, 115 (1979).
E. Abrahams et al., Phys. Rev. B 24, 6783 (1981).
B.L. Altshuler, A.G. Aronov, and D.E. Khlemnitskii, J. Phys. C 15, 7367 (1982); H. Fukuyama and E. Abrahams, Phys. Rev. B 27, 5976 (1983); A. Stern, Y. Aharonov, and Y. Imry, Phys. Rev. A 40, 3437 (1990).
T.P. Orlando et al., Science 285, 1036 (1999); C. van der Waal et al, to be published; Y. Nakamura et al., Nature 398, 786 (1999).
E. Witten, Colloquium, California Institute of Technology (2000).
Y. Imry, Introduction to Mesoscopic Physics, (Academic Press, 1997).
P. Mohanty, Physica B 280, 446 (2000).
J.J. Lin and N. Giordano, Phys. Rev. B 35, 1071 (1987).
J. Vranken, C. Van haesendonck, and Y. Bruynserade, Phys. Rev. B 37, 8502 (1988).
D. Natelson, R.L. Willett, K.W. West, and L.N. Pfeiffer, cond-mat/0006032.
D.M. Pooke et al., J. Phys. Condes. Matter. 1, 3289 (1989).
T. Hiramoto et al., Appl. Phys. Lett. 54, 2103 (1989).
A.G. Huibers et al., Phys. Rev. Lett. 83, 5090 (2000); D.P. Pivin et al., Phys. Rev. Lett. 82, 4687 (1999).
A. Shahnoune et al., Phys. Rev. B 46, 10035 (1992).
L. Langer et al., Phys. Rev. Lett. 76, 479 (1996).
C. Kurdak et al., Phys. Rev. B 46, 6846 (1992).
D. Hoadley, P. McConville, and N.O. Birge, Phys. Rev. B 60, 5617 (1999).
J.J. Lin, to be published.
A.B. Gougam, F. Pierre, H. Pothier, D. Esteve, and N.O. Birge, J. Low Temp. Phys. 118, 447 (2000).
R.A. Webb, P. Mohanty, and E.M.Q. Jariwala, Fortschr. Phys. 46, 779 (1998).
Y. Imry, H. Fukuyama, and P. Schwab, Europhys. lett. 47, 608 (1999).
A. Zawadowski, J. von Delft, and D.C. Ralph, Phys. Rev. Lett. 83, 2632 (1999).
B.L. Altshuler, I. Aleiner, and M. Gershenzon, Physica E 3, 58 (1998).
A.M. Dyugaev, I.D. Vagner, and P. Wyder (unpublished).
K. Houshangpour and K. Maschke, Phys. Rev. B 59, 4615 (1999).
R.P. Peters et al., Phys. Rev. Lett. 58, 1964 (1987); C. Van Haesendonck et al., Phys. Rev. Lett. 58, 1968 (1987); P. Mohanty and R A. Webb, Phys. Rev. Lett. 84, 4481 (2000).
B.N. Narozhny, I.L. Aleiner, and A.I. Larkin, Phys. Rev. B 62, 14898 (2000).
R.A. Webb, P. Mohanty, and E.M.Q. Jariwala, in Quantum Coherence and Decoherence, edited by K. Fujikawa and Y.A. Ono (North Holland, 1998).
P. Mohanty and R.A. Webb, Phys. Rev. B 55, 13452 (1997).
D.J. Thouless, Phys. Rev. Lett. 39, 1167 (1977).
F. Ladieu et al., J. Phys. I 3, 2321 (1993); M.E. Gershenzon et al., Phys. Rev. Lett. 79, 725 (1997).
S.V. Kravchenko et al., Phys. Rev. B 50, 8039 (1994); 51, 7038 (1995).
D. Shahar et al., Solid State Comm. 102, 817 (1997).
L.P. Pryadko and A. Auerbach, Phys. Rev. Lett. 82, 1253 (1999).
P. Mohanty, Ann. Phys. 8, 549 (1999).
P. Cedraschi, V.V. Ponomarenko, and M. Buttiker, Phys. Rev. Lett. 84, 346 (2000).
V.E. Kravtsov and V.I. Yudson, Phys. Rev. Lett. 70, 210 (1993).
V.E. Kravtsov and B.L. Altshuler, Phys. Rev. Lett. 84, 3394 (2000).
L.P. Levy et al., Phys. Rev. Lett. 64, 2074 (1990); V. Chandrasekhar et al., Phys. Rev. Lett. 67, 3578 (1991); P. Mohanty et al., in Quantum Coherence and Decoherence, edited by K. Fujikawa and Y. A. Ono (North Holland, 1996).
P. Schwab, Eur. Phys. J. B 18, 189 (2000).
D.S. Golubev and A. Zaikin, Phys. Rev. Lett. 81, 1074 (1998).
V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990).
G.E. Blonder, M. Tinkham, and T. Klapwijk, Phys. Rev. B 25, 4515 (1982).
B.J. van Wees et al., Phys. Rev. Lett. 69, 510 (1992).
H. Pothier et al., Phys. Rev. Lett. 73, 2488 (1994); P. Charlat et al., Phys. Rev. Lett. 77, 4950 (1996).
A. Vaknin, A. Frydman, and Z. Ovadyahu, Phys. Rev. B 61, 13037 (2000).
M.J. Black and V. Chandrasekhar, Europhys. Lett. 50, 257 (2000).
H. Pothier et al., Phys. Rev. Lett. 79, 3490 (1997).
F. Pierre et al., J. Low. Temp. Phys. 118, 437 (2000).
U. Weiss, in Quantum Dissipative Systems (World Scientific, 1999), Chap. 9.
D. Loss and K. Mullen, Phys. Rev. B 43, 13252 (1991).
D.S. Golubev and A. Zaikin, Phys. Rev. B 59, 9195 (1999); Physica B 255, 164 (1998); Phys. Rev. Lett. 82, 3191 (1999).
I.L. Aleiner, B.L. Altshuler, and M.E. Gershenson, Waves in Random Media 9, 201 (1999).
S. Franz et al., Phys. Rev. Lett. 81, 1758 (1998); J-P. Bouchaud et al., in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, 1998); L. Cugliandolo and G. Lozano, Phys. Rev. B 59, 915 (1999).
R.A. Webb, private communication.
R. Kubo and M. Toda, Statistical Physics II(Springer-Verlag, 1991).
N.G. van Kampen, Phys. Norv. 5, 279 (1971).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Mohanty, P. (2001). Electron Decoherence at Zero Temperature. In: Chandrasekhar, V., Van Haesendonck, C., Zawadowski, A. (eds) Kondo Effect and Dephasing in Low-Dimensional Metallic Systems. NATO Science Series, vol 50. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0427-5_11
Download citation
DOI: https://doi.org/10.1007/978-94-010-0427-5_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0401-8
Online ISBN: 978-94-010-0427-5
eBook Packages: Springer Book Archive