Quantum tunnel birth of soliton-antisoliton pairs on the background of a periodically inhomogeneous vacuum

B. A. Malomed*, I. V. Krive

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The problem of under-barrier creation of kink-antikink pairs is considered within the framework of the one-dimensional driven sine-Gordon model with an installed periodic lattice of local defects that render a true vacuum of the model spatially inhomogeneous. A specific feature of the pair production in this system is the fact that one or both members of the pair come out to the mass shell in a state pinned by a defect. Energy of a pinned kink is lower than that of a free kink, which results in a substantially shorter under-barrier trajectory and hence gives rise to a strong growth of the pair production rate.

Original languageEnglish
Article number009
Pages (from-to)997-1005
Number of pages9
JournalInverse Problems
Volume6
Issue number6
DOIs
StatePublished - 1990
Externally publishedYes

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