Strongly-coupled non-Markovian waveguide QED with input-output HEOM
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918513388552192 |
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| author | Lambert, Neill Huang, Yi-Te Chen, Yueh-Nan Menczel, Paul Nori, Franco |
| author_facet | Lambert, Neill Huang, Yi-Te Chen, Yueh-Nan Menczel, Paul Nori, Franco |
| contents | We consider the problem of modeling a single qubit in contact with a one-dimensional waveguide beyond the standard perturbative and Markovian approximations. Using the recently developed input-output hierarchical equations of motion (io-HEOM), we investigate multiple examples of such waveguides, characterized by different spectral densities. Our examples highlight that the io-HEOM method can accurately capture non-Markovianity in waveguide QED from two distinct origins. The first source of non-Markovianity is spatially non-local coupling between the qubit and the waveguide. By examining two examples with non-local coupling, we show how the coupling function affects the steady-state bound photons, and demonstrate the release of these photons when the qubit energy is quenched. The second source of non-Markovianity is non-linear dispersion. We illustrate this scenario using the example of a cavity array with point-like coupling, where the non-linear dispersion leads to persistent oscillations due to Van Hove singularities in the spectral density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20703 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strongly-coupled non-Markovian waveguide QED with input-output HEOM Lambert, Neill Huang, Yi-Te Chen, Yueh-Nan Menczel, Paul Nori, Franco Quantum Physics We consider the problem of modeling a single qubit in contact with a one-dimensional waveguide beyond the standard perturbative and Markovian approximations. Using the recently developed input-output hierarchical equations of motion (io-HEOM), we investigate multiple examples of such waveguides, characterized by different spectral densities. Our examples highlight that the io-HEOM method can accurately capture non-Markovianity in waveguide QED from two distinct origins. The first source of non-Markovianity is spatially non-local coupling between the qubit and the waveguide. By examining two examples with non-local coupling, we show how the coupling function affects the steady-state bound photons, and demonstrate the release of these photons when the qubit energy is quenched. The second source of non-Markovianity is non-linear dispersion. We illustrate this scenario using the example of a cavity array with point-like coupling, where the non-linear dispersion leads to persistent oscillations due to Van Hove singularities in the spectral density. |
| title | Strongly-coupled non-Markovian waveguide QED with input-output HEOM |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.20703 |