The concept of gauge field is a cornerstone of modern physics and the synthetic gauge field has emerged as a new way to manipulate particles in many disciplines. In optics, several schemes of Abelian synthetic gauge fields have been proposed. Here, we in
The covariant formulation of the quantum dynamics in CP(1) should lead to the observable geometrodynamical effects for the local dynamical variable of the light polarization states.doi:10.1134/1.1825125P. LeiferJETP Letters, 80, (5) 367 (2004)...
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havedemonstratedthatthesyntheticAbeliangaugepo— tentialormagneticfieldhasanovelcontrollabilityon thedynamicsoftheultracoldatomsviathewell—known Lorentzforce.一。 rJwhichopenanewwaytomanipulate theatoms.Infact,thevectorcomponentsofgaugepo— tentialare,sometimes,noncommute. ...
non-abelian phaseWe describe a non-abelian Berry phase in polarization optics, suggested by an analogy due to Nityananda between boosts in special relativity and the effect of elliptic dichroism on polarized light. The analogy permits a simple optical realization of the non-abelian gauge field ...
Although the field strength is nonvanishing, it commutes with the connection, which cons...B. Broda, Non-Abelian Stokes theorem, in: M.W. Evans (Ed.), Modern Nonlinear Optics, Part 2, 2nd ed., Wiley, 2001, p. 429.
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, Modern Nonlinear Optics, Part II (pp. 429-468). Hoboken, NJ: Wiley.B. Broda, "Non-Abelian Stokes theorem", in Advanced Electromagnetism: Foun- dations, Theory and Applications, (Eds. T.W. Barrett and D.M. Grimes), p. 496- 505, World Scientific, Singapore, 1995....
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Non-Abelian gauge field in optics. Adv. Opt. Photon. 15, 907–976 (2023). Article Google Scholar Yang, Y. et al. Non-Abelian physics in light and sound. Science 383, eadf9621 (2024). Article MathSciNet CAS PubMed Google Scholar Neef, V. et al. Three-dimensional non-Abelian ...