Classical nonlinearity and quantum decay: The effect of classical phase-space structures

Yosef Ashkenazy, Luca Bonci, Jacob Levitan, Roberto Roncaglia

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A numerical calculation of the decay from a potential well due to tunneling was carried out. It was found that in the presence of classical chaos, the decay can be strongly enhanced and that this enhancement depends on the system parameters in a resonantlike way. A qualitative inspection of the classical phase-space structure revealed a connection between the peaks in the decay probability and the presence of classical nonlinear resonances in the region of phase space occupied by the Husimi distribution of the initial state. This correspondence was quantitatively explained using a semiclassical result that was shown to be valid in the case of chaos-assisted tunneling.

Original languageEnglish
Article number056215
Pages (from-to)056215/1-056215/11
Number of pages1
JournalPhysical Review E
Issue number5 II
StatePublished - Nov 2001


  • Algorithms
  • Boundary conditions
  • Chaos theory
  • Electron tunneling
  • Fast Fourier transforms
  • Fermi level
  • Hamiltonians
  • Molecular dynamics
  • Particles (particulate matter)
  • Phase space methods


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