Published December 28, 2009
| Version v1
Journal article
Exotic quantum holonomy in Hamiltonian systems
Creators
- 1. Laboratory of Physics, Kochi University of Technology Tosa Yamada, Kochi 782-8502 (Japan)
- 2. Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397 (Japan)
- 3. Department of Physics Education, Pusan National University, Busan 609-735 (Korea, Republic of)
Description
We consider evolution of quantum eigenstates in the presence of level crossing under slow cyclic change of environmental parameters. We find that exotic holonomies, indicated by exchange of the eigenstates after a single cyclic evolution, can arise from non-Abelian gauge potentials among non-degenerate levels. We illustrate our arguments with solvable two and three level models.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2009.10.064Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2009.10.064;
- arXiv
- arXiv:0909.2033v1;
- PII
- S0375-9601(09)01360-7;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 374
- Journal Issue
- 2
- Journal Page Range
- p. 144-149
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41108033
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENSTATES; GAUGE INVARIANCE; HAMILTONIANS; MATHEMATICAL EVOLUTION; POTENTIALS
- Descriptors DEC
- EVOLUTION; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; QUANTUM OPERATORS
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.