Adiabatic molecular dynamics: Two-body and many-body aspects

Y. B. Band, I. Tikhonenkov, A. Vardi

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We compare various types of adiabatic dynamics that occur during atomic collisions and molecular dynamics. Born-Oppenheimer and non-adiabatic effects in molecular dynamics are contrasted with the time-dependent Landau-Zener transition problem for transitions that occur when a parameter in the Hamiltonian is varied slowly, and these are contrasted with the coherent many-body transitions that occur for a degenerate gas of atoms when an external parameter is tuned slowly near a Feshbach resonance to create loosely bound molecules. Analysis of an adiabatic sweep through a Feshbach resonance in a quantum gas of fermionic atoms shows that the dependence of the remaining atomic fraction on the sweep rate varies from exponential Landau-Zener behaviour for a single pair of particles to a power-law dependence for large particle number N.

Original languageEnglish
Pages (from-to)349-355
Number of pages7
JournalMolecular Physics
Issue number2-4
StatePublished - 1 Jan 2008


  • Adiabatic dynamics
  • Coherent many-body effects
  • Feshbach resonance
  • Landau-Zener transition


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