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Semiclassical interference of bifurcations.

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>1997
<mark>Journal</mark>EPL
Volume38
Pages (from-to)423
Publication StatusPublished
<mark>Original language</mark>English

Abstract

In semiclassical studies of systems with a mixed phase space, the neighbourhood of bifurcations of co-dimension two is felt strongly even though such bifurcations are ungeneric in classical mechanics. We discuss a scenario which reveals this fact and derive the correct semiclassical contribution of the bifurcating orbits to the trace of the unitary time-evolution operator. That contribution has a certain collective character rather than being additive in the individual periodic orbits involved. The relevance of our observation is demonstrated by a numerical study of the kicked top; the collective contribution derived is found to considerably improve the semiclassical approximation of the trace.