Path-Integral Approach to Quantum Acoustics
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908366561869824 |
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| author | de Nijs, Joost V. Graf, Anton M. Heller, Eric J. Keski-Rahkonen, Joonas |
| author_facet | de Nijs, Joost V. Graf, Anton M. Heller, Eric J. Keski-Rahkonen, Joonas |
| contents | A path-integral approach to quantum acoustics is developed here. In contrast to the commonly utilized particle perspective, this emerging field brings forth a long neglected but essential wave paradigm for lattice vibrations. Within the coherent state picture, we formulate a non-Markovian, stochastic master equation that captures the exact dynamics of any system with coupling linear in the bath coordinates and nonlinear in the system coordinates. We further demonstrate the capability of the presented master equation by applying the corresponding procedure to the eminent Fröhlich model. In general, we establish a solid foundation for quantum acoustics as a kindred framework to quantum optics, while paving the way for deeper first-principle explorations of non-perturbative system dynamics driven by lattice vibrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00861 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Path-Integral Approach to Quantum Acoustics de Nijs, Joost V. Graf, Anton M. Heller, Eric J. Keski-Rahkonen, Joonas Quantum Physics A path-integral approach to quantum acoustics is developed here. In contrast to the commonly utilized particle perspective, this emerging field brings forth a long neglected but essential wave paradigm for lattice vibrations. Within the coherent state picture, we formulate a non-Markovian, stochastic master equation that captures the exact dynamics of any system with coupling linear in the bath coordinates and nonlinear in the system coordinates. We further demonstrate the capability of the presented master equation by applying the corresponding procedure to the eminent Fröhlich model. In general, we establish a solid foundation for quantum acoustics as a kindred framework to quantum optics, while paving the way for deeper first-principle explorations of non-perturbative system dynamics driven by lattice vibrations. |
| title | Path-Integral Approach to Quantum Acoustics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.00861 |