Selection rules for the high harmonic generation spectra

Ofir E. Alon, Vitali Averbukh, Nimrod Moiseyev

Research output: Contribution to journalArticlepeer-review


For three-dimensional many-electron time periodic Hamiltonians which are invariant under dynamical symmetry of order N we prove that only the (nN±1)th, n = 1, 2,…, harmonics are generated. We discuss the application of the dynamical symmetry based selection rules to the generation of high harmonics by thin crystals. The derived selection rules are demonstrated numerically for a one-dimensional model, showing that the dynamically symmetric systems can be used not only as “filters” of the very high harmonics but also as their “amplifiers”.

Original languageEnglish
Pages (from-to)3743-3746
Number of pages4
JournalPhysical Review Letters
Issue number17
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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