Gauge transformation for pulse propagation and time ordered integrals
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918383346253824 |
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| author | Abbout, Adel |
| author_facet | Abbout, Adel |
| contents | We investigate a gauge transformation based on the successive elimination of time-dependent onsite potentials at individual sites in finite or infinite systems. Our analysis shows that this transformation renormalizes the inward hoppings by a phase factor $e^{i ϕ(t)}$ and the outward hoppings by $e^{-i ϕ(t)}$. We further demonstrate how this procedure facilitates the reduction and simulation of pulse propagation in scattering systems, while significantly simplifying the time-ordered integrals involved in the time evolution operator for time-dependent Schrodinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10659 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gauge transformation for pulse propagation and time ordered integrals Abbout, Adel Mesoscale and Nanoscale Physics Computational Physics We investigate a gauge transformation based on the successive elimination of time-dependent onsite potentials at individual sites in finite or infinite systems. Our analysis shows that this transformation renormalizes the inward hoppings by a phase factor $e^{i ϕ(t)}$ and the outward hoppings by $e^{-i ϕ(t)}$. We further demonstrate how this procedure facilitates the reduction and simulation of pulse propagation in scattering systems, while significantly simplifying the time-ordered integrals involved in the time evolution operator for time-dependent Schrodinger equation. |
| title | Gauge transformation for pulse propagation and time ordered integrals |
| topic | Mesoscale and Nanoscale Physics Computational Physics |
| url | https://arxiv.org/abs/2603.10659 |