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Summary: Classical nonlinearity and quantum decay: The effect of classical phase-space structures
Yosef Ashkenazy,1
Luca Bonci,2
Jacob Levitan,2,3
and Roberto Roncaglia4
1
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
2
Physics Department, Bar-Ilan University, Ramat-Gan, Israel
3
College of Judea and Samaria, Ariel, Israel
4
Piazza S. Salvatore, 1 55100 Lucca, Italy
Received 15 October 1999; revised manuscript received 28 June 2001; published 22 October 2001
We investigate the decay process from a time dependent potential well in the semiclassical regime. The
classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system
parameters. By studying the weak-chaos regime we are able to connect the decay irregularities to the presence
of nonlinear resonances in the classical phase space. A quantitative analytical prediction that accounts for the
numerical results is obtained.
DOI: 10.1103/PhysRevE.64.056215 PACS number s : 05.45.Mt, 03.65.Sq
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