Related papers: Floquet Topological Frequency-Converting Amplifier

Floquet Topological Frequency-Converting Amplifier

URL: http://arxiv.org/abs/2512.08880v1
Date: Tue, 09 Dec 2025 18:13:29 GMT
Title: Floquet Topological Frequency-Converting Amplifier
Authors: Adrian Parra-Rodriguez, Miguel Clavero-Rubio, Philippe Gigon, Tomás Ramos, Álvaro Gómez-León, Diego Porras,
Abstract summary: We study a non-Hermitian synthetic lattice with an effective electric field gradient in frequency space.<n>Our results establish a simple and experimentally feasible route to non-Hermitian topological amplification, naturally implementable in current quantum technologies such as superconducting circuits.
Score: 0.10262304700896198
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We introduce a driven-dissipative Floquet model in which a single harmonic oscillator with modulated frequency and decay realizes a non-Hermitian synthetic lattice with an effective electric field gradient in frequency space. Using the Floquet-Green's function and its doubled-space representation, we identify a topological regime that supports directional amplification and frequency conversion, accurately captured by a local winding number. The underlying mode structure is well described by a Jackiw-Rebbi-like continuum theory with Dirac cones and solitonic zero modes in synthetic frequency. Our results establish a simple and experimentally feasible route to non-Hermitian topological amplification, naturally implementable in current quantum technologies such as superconducting circuits.

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