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- Title
Pancharatnam-Berry Phase in Quantum Optics: Relation to Bargmann Invariants and Geodesics.
- Authors
Chatterjee, Sarbani
- Abstract
A quantum system, when subjected to an adiabatic cyclic evolution of parameters governing its Hamiltonian, gains a phase factor known as the geometric phase. One of its most celebrated formulations in the regime of quantum optics is the Pancharatnam-Berry phase. It is said to be acquired by a beam of light undergoing an evolution of its polarization state. This article builds on the background and notion of the Pancharatnam-Berry phase in quantum optics. A convenient tool for visualizing the evolution of polarization states is the Poincaré sphere, which has been briefly discussed here. The close relation of the phase to a few other important concepts, such as Bargmann invariants and geodesics, has also been discussed in this article.
- Subjects
QUANTUM optics; GEOMETRIC quantum phases
- Publication
Resonance: Journal of Science Education, 2023, Vol 28, Issue 11, p1669
- ISSN
0971-8044
- Publication type
Article
- DOI
10.1007/s12045-023-1705-2