Floquet Topological Frequency-Converting Amplifier
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908952437981184 |
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| author | Parra-Rodriguez, Adrian Clavero-Rubio, Miguel Gigon, Philippe Ramos, Tomás Gómez-León, Álvaro Porras, Diego |
| author_facet | Parra-Rodriguez, Adrian Clavero-Rubio, Miguel Gigon, Philippe Ramos, Tomás Gómez-León, Álvaro Porras, Diego |
| contents | We introduce a driven-dissipative Floquet model in which a single harmonic oscillator, with both frequency and decay rate modulated, realizes a non-Hermitian synthetic lattice with an effective electric-field gradient in frequency space. Using the Floquet-Green's function and the doubled Hamiltonian representation of non-Hermitian matrices, we show that the linear response of this system is characterized by a local winding number. Nontrivial values of the winding number induce directional amplification in the synthetic dimension, thereby converting input signals to different frequencies. The underlying mode structure is well described by a Jackiw-Rebbi-like continuum theory with Dirac cones and solitonic topological 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Floquet Topological Frequency-Converting Amplifier Parra-Rodriguez, Adrian Clavero-Rubio, Miguel Gigon, Philippe Ramos, Tomás Gómez-León, Álvaro Porras, Diego Quantum Physics Mesoscale and Nanoscale Physics We introduce a driven-dissipative Floquet model in which a single harmonic oscillator, with both frequency and decay rate modulated, realizes a non-Hermitian synthetic lattice with an effective electric-field gradient in frequency space. Using the Floquet-Green's function and the doubled Hamiltonian representation of non-Hermitian matrices, we show that the linear response of this system is characterized by a local winding number. Nontrivial values of the winding number induce directional amplification in the synthetic dimension, thereby converting input signals to different frequencies. The underlying mode structure is well described by a Jackiw-Rebbi-like continuum theory with Dirac cones and solitonic topological 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. |
| title | Floquet Topological Frequency-Converting Amplifier |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2512.08880 |