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  • Letter
  • Open Access

Non-Hermitian topology and skin modes in the continuum via parametric processes

Markus Bestler1,*, Alexander Dikopoltsev2, and Oded Zilberberg1,†

  • *Contact author: markus.bestler@uni-konstanz.de
  • †Contact author: oded.zilberberg@uni-konstanz.de
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Phys. Rev. Research 8, L032027 – Published 20 August, 2026

DOI: https://doi.org/10.1103/yhkx-tn6l

Abstract

We demonstrate that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes in the continuum, offering a simple alternative to complex bath engineering. Our model, stabilized by local dissipation reveals exceptional points that spawn a tilted non-Hermitian Fermi arc in the dispersion. Local dissipation prevents instabilities, while a bulk anomaly signals unscreened current response. Upon opening the boundaries, we observe a non-Hermitian skin effect with localized edge modes. Through bulk winding indices and non-Bloch theory, we establish a robust bulk-boundary correspondence, highlighting parametric drives as a scalable route to non-Hermitian topology in bosonic continuum systems.

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Outline

Information

Phys. Rev. Research 8, L032027– Published 20 August, 2026
  • Received 28 May 2025
  • Revised 19 September 2025
  • Accepted 8 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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