Berry and Pancharatnam topological phases of atomic and optical systems

2004/02/01 by Y. Ben-Aryeh · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemistry #Geometric phase #Interferometry #Mathematics #Molecular spectroscopy and chirality #Physics #Polarization (electrochemistry) #Quantum Mechanics and Applications #Quantum mechanics #Theoretical physics #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1088/1464-4266/6/4/r01

Review article,72 pages, 186 references

arxiv created 2004/02/01 · openalex publication_date 2004/03/26 · arxiv updated 2017/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Theoretical and experimental studies of Berry and Pancharatnam phases are reviewed. Basic elements of differential geometry necessary for understanding the topological nature of these phases are presented. The basic theory analysed by Berry in relation to magnetic monopoles is presented. The theory is generalized to nonadiabatic processes and to noncyclic Pancharatnam phases. Different systems are discussed including polarization optics, n -level atomic systems, neutron interferometry and molecular topological phases.

Citations

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• Modern quantum mechanics

Cited by

• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium