Geometric phases for finite-dimensional systems—The roles of Bargmann invariants, null phase curves, and the Schwinger–Majorana SU(2) framework
DOI10.1063/1.5124865zbMath1454.81099arXiv1908.03325OpenAlexW3039010939MaRDI QIDQ5140959
S. Chaturvedi, K. S. Mallesh, Arvind, Narasimhaiengar Mukunda, K. S. Akhilesh
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.03325
Quantum optics (81V80) Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Operator algebra methods applied to problems in quantum theory (81R15) Applications of linear algebraic groups to the sciences (20G45)
Cites Work
- Quantum kinematic approach to the geometric phase. I: General formalism
- Quantal phase factors accompanying adiabatic changes
- A generalized Pancharatnam geometric phase formula for three-level quantum systems
- Atomi orientati in campo magnetico variabile
- Complete solution for unambiguous discrimination of three pure states with real inner products
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