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

Fuente: arXiv
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Auteurs principaux: Bestler, Markus, Dikopoltsev, Alexander, Zilberberg, Oded
Format: Preprint
Publié: 2025
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author Bestler, Markus
Dikopoltsev, Alexander
Zilberberg, Oded
author_facet Bestler, Markus
Dikopoltsev, Alexander
Zilberberg, Oded
contents We demonstrate that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes, offering a simple alternative to complex bath engineering. Our model, stabilized by local dissipation and operating in the continuum limit, reveals exceptional points that spawn a tilted diabolical line 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 systems.
format Preprint
id arxiv_https___arxiv_org_abs_2505_02776
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Hermitian topology and skin modes in the continuum via parametric processes
Bestler, Markus
Dikopoltsev, Alexander
Zilberberg, Oded
Mesoscale and Nanoscale Physics
Optics
Quantum Physics
We demonstrate that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes, offering a simple alternative to complex bath engineering. Our model, stabilized by local dissipation and operating in the continuum limit, reveals exceptional points that spawn a tilted diabolical line 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 systems.
title Non-Hermitian topology and skin modes in the continuum via parametric processes
topic Mesoscale and Nanoscale Physics
Optics
Quantum Physics
url https://arxiv.org/abs/2505.02776