Dynamical symmetries of time-periodic Hamiltonians

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The interaction of atoms, molecules, crystals, and nanotubes with time-periodic laser fields can lead to high-order dynamical symmetries (DS’s). Here we employ group theoretical methods to study the DS-related properties (quantum numbers, nonaccidental degeneracies) of quantum systems possessing high-order DS’s. As explicit examples we take finite-order rotation symmetry in point and plane groups, and a circularly polarized laser field. We find that nonaccidental degeneracies induced by spatial and time-reversal symmetries may not be lifted inside the laser field. A general result of this work is that the time-evolution operator needs to be computed only up to [Formula Presented] [or, even, [Formula Presented] of the optical cycle, where N is the order of the DS. This allows a substantial reduction of the computational effort required for studying the time-dependent dynamics of such systems.

Original languageEnglish
Pages (from-to)5
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number1
StatePublished - 2002
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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