Published February 16, 2007
| Version v1
Journal article
Topological structures of adiabatic phase for multi-level quantum systems
- 1. Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071 (China)
- 2. Department of Physics, Texas A and M University, College Station, TX 77843-4242 (United States)
- 3. Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)
Description
The topological properties of adiabatic gauge fields for multi-level (three-level in particular) quantum systems are studied in detail. Similar to the result that the adiabatic gauge field for SU(2) systems (e.g. two-level quantum system or angular momentum systems, etc) has a monopole structure, the curvature 2-forms of the adiabatic holonomies for SU(3) three-level and SU(3) eight-level quantum systems are shown to have monopole-like (for all levels) or instanton-like (for the degenerate levels) structures
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/7/015;
- PII
- S1751-8113(07)33068-0;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 7
- Journal Page Range
- p. 1661-1676
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38072686
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANGULAR MOMENTUM; INSTANTONS; QUANTUM MECHANICS; SU-3 GROUPS; TOPOLOGY
- Descriptors DEC
- LIE GROUPS; MATHEMATICS; MECHANICS; QUASI PARTICLES; SU GROUPS; SYMMETRY GROUPS