DOI: 10.1063/1.449686. Low temperature tunneling dynamics in condensed media

Low temperature tunneling dynamics in condensed media

10.1063/1.449686

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

There has been considerable interest recently in the low temperature dynamics of condensed phase tunneling phenomena. In this paper we consider the interplay between quasiparticle transport and vibrational relaxation; the former taking place via tunneling in a double well potential, and the latter occurring due to interactions of the tunneling system with a harmonic bath. Taking the system–bath interactions to be linear in the bath coordinates, and explicitly allowing for a vibrationally excited well, we present a unified treatment of the weak and strong coupling regimes and obtain reduced equations of motion for the tunneling particle position operator. Solutions are obtained for several important limiting cases. In particular, we find that at sufficiently low temperatures, the dynamical behavior strongly resembles that of multisite spin jump model.

Bibliography

Parris, P. E., & Silbey, R. (1985). Low temperature tunneling dynamics in condensed media. The Journal of Chemical Physics, 83(11), 5619â5626.

Authors 2

Paul E. Parris (first)
Robert Silbey (additional)

References 31 Referenced 76

10.1103/PhysRevLett.46.211 / Phys. Rev. Lett. (1981)
10.1016/0003-4916(83)90202-6 / Ann. Phys. (N.Y.) (1983)
10.1016/0003-4916(84)90027-7 / Ann. Phys. (N.Y.) (1984)
{'key': '2024021002384444500_r2', 'first-page': '68', 'volume': '49', 'year': '1982', 'journal-title': 'Phys. Rev. Lett.'} / Phys. Rev. Lett. (1982)
10.1103/PhysRevLett.49.1545 / Phys. Rev. Lett. (1982)
10.1103/PhysRevLett.53.5 / Phys. Rev. Lett. (1984)
10.1063/1.444723 / J. Chem. Phys. (1983)
10.1103/PhysRevLett.52.2193 / Phys. Rev. Lett. (1984)
10.1063/1.441588 / J. Chem. Phys. (1981)
10.1063/1.442141 / J. Chem. Phys. (1981)
10.1063/1.445732 / J. Chem. Phys. (1983)
10.1063/1.449535 / J. Chem. Phys. (1985)
{'key': '2024021002384444500_r3d', 'first-page': '3200', 'volume': '82', 'year': '1985', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1985)
10.1103/PhysRevLett.54.1605 / Phys. Rev. Lett. (1985)
10.1103/PhysRevLett.54.1609 / Phys. Rev. Lett. (1985)
10.1103/PhysRevB.31.154 / Phys. Rev. B (1985)
10.1063/1.447055 / J. Chem. Phys. (1984)
10.1063/1.449469 / J. Chem. Phys. (1985)
{'key': '2024021002384444500_r6', 'first-page': '454', 'volume': '27', 'year': '1957', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1957)
10.1063/1.1680859 / J. Chem. Phys. (1974)
10.1103/PhysRevA.30.568 / Phys. Rev. (1984)
10.1007/BF01012304 / J. Stat. Phys. (1983)
{'key': '2024021002384444500_r6d'}
{'key': '2024021002384444500_r7'}
{'key': '2024021002384444500_r8'}
{'key': '2024021002384444500_r8a', 'volume': '1', 'year': '1965', 'journal-title': 'Adv. Magn. Reson.'} / Adv. Magn. Reson. (1965)
10.1016/0009-2614(80)80505-7 / Chem. Phys. Lett. (1980)
10.1016/0009-2614(75)80280-6 / Chem. Phys. Lett. (1975)
10.1016/0009-2614(76)80554-4 / Chem. Phys. Lett. (1976)
10.1063/1.434760 / J. Chem. Phys. (1977)
{'key': '2024021002384444500_r10c'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 10:57 p.m.)
Indexed	1 year, 1 month ago (Aug. 2, 2024, 3:12 p.m.)
Issued	39 years, 9 months ago (Dec. 1, 1985)
Published	39 years, 9 months ago (Dec. 1, 1985)
Published Print	39 years, 9 months ago (Dec. 1, 1985)

Funders 0

None

BibTeX

@article{Parris_1985, title={Low temperature tunneling dynamics in condensed media}, volume={83}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.449686}, DOI={10.1063/1.449686}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Parris, Paul E. and Silbey, Robert}, year={1985}, month=dec, pages={5619–5626} }

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