Abstract
In recent years, it has been observed in a multitude of systems in physical and chemical sciences that quantum tunneling is strongly affected by dissipative influences of the environment. Dissipation was found to cause novel features such as dissipative phase transitions,1 exponential suppression2 and qualitative change of the temperature dependence3 of tunneling rates. Much of the theoretical efforts have been devoted to the phenomenon of macroscopic quantum tunneling (MQT) at T = 0,2 and at finite temperatures,3 and to macroscopic quantum coherence (MQC).4,5 The theoretical predictions for the temperature and damping dependence of MQT have been verified precisely, e.g., in experiments on the decay of the zero-voltage state of a Josephson junction.6
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
S. Chakravarty, “Quantum fluctuations in the tunneling between superconductors”, Phys. Rev. Lett. 49:681 (1982);
S. Chakravarty A. J. Bray and M. A. Moore, “Influence of dissipation on quantum coherence”, Phys. Rev. Lett. 49:1545 (1982).
A.O. Caldeira and A.J. Leggett, “Quantum tunneling in a dissipative systems”, Ann. Phys. (N.Y.) 149:374 (1983).
H. Grabert, P. Olschowski, and U. Weiss, “Quantum decay rates for dissipative systems at finite temperatures”, Phys. Rev. B 36:1931 (1987), and references therein.
A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, and W. Zwerger, “Dynamics of the dissipative two-state system”, Rev. Mod. Phys. 59:1 (1987).
U. Weiss, H. Grabert, and S. Linkwitz, “Influence of friction and temperature on coherent quantum tunneling”, J. Low. Temp. Phys. 68:213 (1987).
A. N. Cleland, J.M. Martinis, and J. Clarke, “Measurements of the effect of moderate dissipation on macroscopic quantum tunneling”, Phys. Rev. B 37:5950 (1988), and references therein.
J. Kondo, “Two-level systems in metals”, in “Fermi Surface Effects”, Vol. 77:1 of Springer Series in Solid-State Sciences, edited by J. Kondo and A. Yoshimori (Springer-Verlag, Berlin) (1988).
U. Weiss and M. Wollensak, “Dynamics of the dissipative multiwell system”, Phys. Rev. B 37:2729 (1988).
H. Wipf, D. Steinbinder, K. Neumaier, P. Gutsmiedl, A. Magerl, and A.J. Dianoux, “Influence of the electronic state on H tunneling in niobium”, Europhys. Lett. 4:1379 (1987);
D. Steinbinder, H. Wipf, A. Magerl, A.J. Dianoux, and K. Neumaier, “Non adiabatic low-temperature quantum diffusion of hydrogen in Nb(OH) x ” Europhys. Lett. 6:535 (1988).
U. Weiss, H. Grabert, P. Hänggi, and P. Riseborough, “Incoherent tunneling in a double well”, Phys. Rev. B 35:9535 (1987).
F. Guinea, V. Hakim, and A. Muramatsu, “Bosonization of a two-level system with dissipation”, Phys. Rev. B 32:4410 (1985).
A.M. Tsvelick and P.B. Wiegmann, “Exact results in the theory of magnetic alloys”, Adv. Phys. 32:453 (1983).
M. Sassetti and U. Weiss, “Correlation functions for dissipative two-state systems: effects of the initial preparation”, Phys. Rev. A 41:5383 (1990).
H. Grabert, S. Linkwitz, S. Dattagupta, and U. Weiss, “Structure factor for neutron scattering from tunneling systems in metals”, Europhys. Lett. 2:631 (1986).
R.P. Feynman and F.L. Vernon, “The theory of a general quantum system interacting with a linear dissipative system”, Ann. Phys. (N.Y.) 24:118 (1963).
U. Weiss and M. Wollensak, “Dynamics of the biased two-level system in metals”, Phys. Rev. Lett. 62:1663 (1989);
R. Görlich, M. Sassetti, and U. Weiss, “Low-temperature properties of biased two-level systems: effects of frequency-dependent damping”, Europhys. Lett. 10:507(1989).
S. Dattagupta, H. Grabert, and R. Jung, “The structure factor for neutron scattering from a two-state system in metals”, J. Phys. Cond. Mat. 1:1405 (1989).
H. Shiba, “The Korringa relation for the impurity nuclear spin-lattice relaxation in dilute Kondo alloys”, Progr. Theor. Phys. 54:967 (1975).
R. Görlich and U. Weiss, “Specific heat of the dissipative two-state system”, Phys. Rev. B 38:5245 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Weiss, U., Sassetti, M. (1991). Dynamics of Tunneling Systems in Metals. In: Bishop, A.R., Pokrovsky, V.L., Tognetti, V. (eds) Microscopic Aspects of Nonlinearity in Condensed Matter. NATO ASI Series, vol 264. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5961-6_23
Download citation
DOI: https://doi.org/10.1007/978-1-4684-5961-6_23
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5963-0
Online ISBN: 978-1-4684-5961-6
eBook Packages: Springer Book Archive