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arXiv · 2510.19987

Separation of quantum time evolution into holonomic and dynamical parts

Adam Fredriksson·Erik Sjöqvist
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Abstract

The issue of separating Schr\"odinger-type quantum time evolution into a product of holonomic and dynamical parts in the non-adiabatic non-Abelian case is examined. We identify all special cases in which this kind of separation is possible, and we prove that separability is a gauge invariant property of quantum time evolution. The general analysis is implemented in a three-level system with $\Lambda$-type coupling structures. The typical case where the holonomic and dynamical parts do not separate is illustrated by means of two non-commuting $\Lambda$-type Hamiltonians.

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Adam Fredriksson, Erik Sjöqvist. 2025-10-22. Separation of quantum time evolution into holonomic and dynamical parts. https://doi.org/10.1103/n9tc-4ppk

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