New anatomy of quantum holonomy
arXiv:0807.4046 · doi:10.1209/0295-5075/85/20001
Abstract
We present a unified formulation of quantum holonomy which is capable of describing all of its known varieties. The full role of non-Abelian gauge connection is elucidated. As examples, solvable models of quantum kicked spin are analyzed. They are shown to exhibit spiral holonomy, as well as Berry phase and Wilczek-Zee holonomy.
5 pages EPL double column format, no figure. See allso http://www.kochi-tech.ac.jp/~cheon/
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- Bloch vector, disclination and exotic quantum holonomy
- Quantum anholonomies in time-dependent Aharonov-Bohm rings
- Gauge invariants of eigenspace and eigenvalue anholonomies: Examples in hierarchical quantum circuits
- Eigenvalue and eigenspace anholonomies in hierarchical systems
- Exotic quantum holonomy and non-Hermitian degeneracies in two-body Lieb-Liniger model
- Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops
- Spectral properties of nonlinear Schrödinger equation on a ring
- Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
- Uhlmann and scalar Wilczek-Zee phases of degenerate quantum systems