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Phys. Rev. Lett. 46, 211–214 (1981)

Influence of Dissipation on Quantum Tunneling in Macroscopic Systems

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A. O. Caldeira and A. J. Leggett
School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH, Sussex, United Kingdom

Received 28 July 1980; published in the issue dated 26 January 1981

A quantum system which can tunnel, at T=0, out of a metastable state and whose interaction with its environment is adequately described in the classically accessible region by a phenomenological friction coefficient η, is considered. By only assuming that the environment response is linear, it is found that dissipation multiplies the tunneling probability by the factor exp[-Aη(Δq)2/], where Δq is the "distance under the barrier" and A is a numerical factor which is generally of order unity.

© 1981 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.46.211
DOI:
10.1103/PhysRevLett.46.211
PACS:
03.65.Bz, 05.30.-d, 05.40.+j, 73.40.Gk

See Also

Comment: A. O. Caldeira and A. J. Leggett, Comment on "Probabilities for Quantum Tunneling through a Barrier with Linear Passive Dissipation", Phys. Rev. Lett. 48, 1571 (1982).