Exact asymptotics for dissipative quantum tunneling

Ten-Ming Wu*, David W. Brown, Katja Lindenberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We analyze a simple model of quantum tunneling in a dimerized lattice characteristic of those in which solid-state excimers have been observed. The model we pose proves to be exactly diagonalizable, allowing the time dependence of tunneling within a molecular pair to be determined to quadrature. A straightforward analysis allows the short- and long-time asymptotic behavior to be specified exactly. Oscillatory decay of a localized initial distribution toward a delocalized final distribution is found at both finite and zero temperature. The decay envelope at finite temperatures is eventually exponential, while that found at zero temperature is eventually power law. Localization is not found.

Original languageEnglish
Pages (from-to)445-451
Number of pages7
JournalChemical Physics
Volume146
Issue number3
DOIs
StatePublished - 1 Oct 1990

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