On separation of quantum time evolution into holonomic and dynamical parts
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915810597928960 |
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| author | Fredriksson, Adam Sjöqvist, Erik |
| author_facet | Fredriksson, Adam Sjöqvist, Erik |
| contents | The issue of separating Schrödinger-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 $Λ$-type coupling structures. The typical case where the holonomic and dynamical parts do not separate is illustrated by means of two non-commuting $Λ$-type Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On separation of quantum time evolution into holonomic and dynamical parts Fredriksson, Adam Sjöqvist, Erik Quantum Physics The issue of separating Schrödinger-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 $Λ$-type coupling structures. The typical case where the holonomic and dynamical parts do not separate is illustrated by means of two non-commuting $Λ$-type Hamiltonians. |
| title | On separation of quantum time evolution into holonomic and dynamical parts |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.19987 |