Arbitrary gauge quantisation of light-matter theories with time-dependent constraints
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911442733629440 |
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| author | Stokes, Adam Nazir, Ahsan |
| author_facet | Stokes, Adam Nazir, Ahsan |
| contents | We provide a general framework for the quantisation of light-matter theories with time-dependent holonomic constraints. Unless time dependence is present from the outset at the Lagrangian level, different gauges generally produce non-equivalent canonical theories. The irrotational gauge is defined as that which also yields a correct theory when time dependence is introduced at the Hamiltonian level. Our framework unifies examples of such gauges found in existing literature. In particular, we show that for describing time-dependent light-matter interactions the Coulomb gauge is not generally irrotational, so it does not enjoy any special status. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arbitrary gauge quantisation of light-matter theories with time-dependent constraints Stokes, Adam Nazir, Ahsan Quantum Physics Superconductivity High Energy Physics - Theory Atomic Physics Optics We provide a general framework for the quantisation of light-matter theories with time-dependent holonomic constraints. Unless time dependence is present from the outset at the Lagrangian level, different gauges generally produce non-equivalent canonical theories. The irrotational gauge is defined as that which also yields a correct theory when time dependence is introduced at the Hamiltonian level. Our framework unifies examples of such gauges found in existing literature. In particular, we show that for describing time-dependent light-matter interactions the Coulomb gauge is not generally irrotational, so it does not enjoy any special status. |
| title | Arbitrary gauge quantisation of light-matter theories with time-dependent constraints |
| topic | Quantum Physics Superconductivity High Energy Physics - Theory Atomic Physics Optics |
| url | https://arxiv.org/abs/2504.01680 |