Separation of quantum time evolution into holonomic and dynamical parts
Abstract
The issue of separating Schrödinger-type quantum time evolution into a product of holonomic and dynamical parts in the nonadiabatic 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 noncommuting Λ -type Hamiltonians.
Fields of Study & Subjects
Quantum Mechanics and Applications
Quantum Information and Cryptography
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- Physical Review A
- Volume
- 113
- Issue
- 6
- Publication date
- 13 May 2026
- Language
- EN