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  Selection rules in symmetry-broken systems by symmetries in synthetic dimensions

Tzur, M. E., Neufeld, O., Bordo, E., Fleischer, A., & Cohen, O. (2022). Selection rules in symmetry-broken systems by symmetries in synthetic dimensions. Nature Communications, 13(1): 1312. doi:10.1038/s41467-022-29080-3.

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https://doi.org/10.1038/s41467-022-29080-3 (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, 3, Author              
Bordo, E.1, Author
Fleischer, A.4, 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              
3Center for Free-Electron Laser Science, ou_persistent22              
4Raymond 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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 Abstract: Selection rules are often considered a hallmark of symmetry. Here, we employ symmetry-breaking degrees of freedom as synthetic dimensions to demonstrate that symmetry-broken systems systematically exhibit a specific class of symmetries and selection rules. These selection rules constrain the scaling of a system’s observables (non-perturbatively) as it transitions from symmetric to symmetry-broken. Specifically, we drive bi-elliptical high harmonic generation (HHG), and observe that the scaling of the HHG spectrum with the pump’s ellipticities is constrained by selection rules corresponding to symmetries in synthetic dimensions. We then show the generality of this phenomenon by analyzing periodically-driven (Floquet) systems subject to two driving fields, tabulating the resulting synthetic symmetries for (2 + 1)D Floquet groups, and deriving the corresponding selection rules for high harmonic generation (HHG) and other phenomena. The presented class of symmetries and selection rules opens routes for ultrafast spectroscopy of phonon-polarization, spin-orbit coupling, symmetry-protected dark bands, and more.

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Language(s): eng - English
 Dates: 2021-06-152022-02-172022-03-14
 Publication Status: Published online
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 Rev. Type: Peer
 Identifiers: DOI: 10.1038/s41467-022-29080-3
arXiv: 2106.04301
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Title: Nature Communications
  Abbreviation : Nat. Commun.
Source Genre: Journal
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Publ. Info: London : Nature Publishing Group
Pages: - Volume / Issue: 13 (1) Sequence Number: 1312 Start / End Page: - Identifier: ISSN: 2041-1723
CoNE: https://pure.mpg.de/cone/journals/resource/2041-1723