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  Selection rules for breaking selection rules

Tzur, M. E., Neufeld, O., Fleischer, A., & Cohen, O. (2021). Selection rules for breaking selection rules. New Journal of Physics, 23: 103039. doi:10.1088/1367-2630/ac27e2.

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https://dx.doi.org/10.1088/1367-2630/ac27e2 (Publisher version)
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https://arxiv.org/abs/2106.04301 (Preprint)
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 Creators:
Tzur, M. E.1, Author
Neufeld, O.1, 2, Author              
Fleischer, A.3, Author
Cohen, O.1, Author
Affiliations:
1Solid State Institute and Physics Department, Technion—Israel Institute of Technology, ou_persistent22              
2Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
3Raymond and Beverly Sackler Faculty of Exact Science, School of Chemistry and Center for Light Matter Interaction, Tel Aviv University, ou_persistent22              

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Free keywords: selection rules, high harmonic generation, Floquet group theory, dynamical symmetry, symmetry breaking, Floquet perturbation theory
 Abstract: Floquet systems often exhibit dynamical symmetries (DS) that govern the time-dependent dynamics and result in selection rules. When a DS is broken, selection rule deviations are expected. Typically, information about the symmetry-breaking perturbation/phase and the time-dependent dynamics can be extracted from these deviations, hence they are regarded as a background free gauge of symmetry breaking. However, to date, DS breaking & selection rule deviations are not described by a general approach, thus there is no universal insight about the interplay between selection rule deviations, the symmetry breaking perturbation, and the broken DS. Here we consider DS breaking in Floquet systems from a general standpoint, formulating a general theory that analytically connects the symmetry-broken and fully symmetric systems. Using an external laser (of arbitrary frequency and polarization), as a model DS breaking perturbation, we discover that the broken symmetry systematically imposes selection rules on the symmetry-broken system, which physically manifest as scaling laws of selection rule deviations. We term these rules 'selection rules for breaking selection rules'—a new concept in physics. We numerically validate the analytical theory in the context of high harmonic generation. Our discovery is a general feature of nonlinear wave-mixing phenomena, and we expect it to apply to any Floquet system (classical & quantum) and to any DS breaking mechanism (either by intrinsic or extrinsic elements of the system).

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Language(s): eng - English
 Dates: 2021-09-112021-06-082021-09-172021-11-01
 Publication Status: Published online
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1367-2630/ac27e2
arXiv: 2106.04301
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Title: New Journal of Physics
  Abbreviation : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: 23 Sequence Number: 103039 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: https://pure.mpg.de/cone/journals/resource/954926913666