Quantum tunneling with friction

M. Tokieda, K. Hagino

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Using the phenomenological quantum friction models introduced by P. Caldirola [Nuovo Cimento 18, 393 (1941)NUCIAD0029-634110.1007/BF02960144] and E. Kanai [Prog. Theor. Phys. 3, 440 (1948)PTPKAV0033-068X10.1143/ptp/3.4.440], M. D. Kostin [J. Chem. Phys. 57, 3589 (1972)JCPSA60021-960610.1063/1.1678812], and K. Albrecht [Phys. Lett. B 56, 127 (1975)PYLBAJ0370-269310.1016/0370-2693(75)90283-X], we study quantum tunneling of a one-dimensional potential in the presence of energy dissipation. To this end, we calculate the tunneling probability using a time-dependent wave-packet method. The friction reduces the tunneling probability. We show that the three models provide similar penetrabilities to each other, among which the Caldirola-Kanai model requires the least numerical effort. We also discuss the effect of energy dissipation on quantum tunneling in terms of barrier distributions.

Original languageEnglish
Article number054604
JournalPhysical Review C
Volume95
Issue number5
DOIs
Publication statusPublished - 2017 May 3

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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