Dynamical Meaning of Quantum Adiabatic Phase: The Case of a Noncanonical System
Abstract
A dynamical meaning is given for the phase $\ensuremath{\Gamma}$ recently found in a quantum adiabatic process. A noncanonical system, specifically a spin system coupled with a proper intrinsic system, is considered by use of a path integral in a SU (2) coherent-state representation. It is shown that $\ensuremath{\Gamma}$ appears as an addition of topological nature to the conventional action function, which leads to a novel form of the semiclassical quantization rule including the phase $\ensuremath{\Gamma}$.
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The spin-orbit Lagrangian has the form of the Coriolis term in systems with intrinsic angular momentum.
“This Lagrangian has the form of the Coriolis term in systems with intrinsic angular momentum [64 -67].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [65]
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Self-citation
- Authors
- Kuratsuji, H., & Iida, S.
- Affiliations
- Ritsumeikan University (JP)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-03-10
- Volume
- 56
- Issue
- 10
- Pages
- 1003-1006
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2401259165
- Cited by
- 41
- References
- 21
- Citations by year
- 2023: 1 · 2019: 1 · 2014: 2
- FWCI
- 8.10
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- spin systems, intrinsic spin, topological phases, SU(2) coherent states, path integral, adiabatic processes
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