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arXiv · 2603.10659

Gauge transformation for pulse propagation and time ordered integrals

Adel Abbout
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Abstract

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 $e^{i \phi(t)}$ and the outward hoppings by $e^{-i \phi(t)}$. 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.

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Adel Abbout. 2026-03-11. Gauge transformation for pulse propagation and time ordered integrals. https://arxiv.org/abs/2603.10659

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