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 introduce a new platform for realizing synt...
The non-Abelian state-dependent gauge field in opticsThe 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. Leifer...
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 ...
tentialormagneticfieldhasanovelcontrollabilityon thedynamicsoftheultracoldatomsviathewell—known Lorentzforce.一。 rJwhichopenanewwaytomanipulate theatoms.Infact,thevectorcomponentsofgaugepo— tentialare,sometimes,noncommute. Inthiscase,the gaugepotentialiscalledthenon—Abeliangaugepotential, ...
We 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 describing Thomas ...
It aims to give an expository presentation of author's version of the non-Abelian Stokes theorem in the framework of path-integral formalism.doi:10.1142/9789812831323_0017Boguslaw BrodaJohn Wiley & Sons, Inc.Non-Abelian Stokes Theorem - Broda - 2001 () Citation Context ...gauge theories ...
Non-Abelian Stokes Theorem - Broda - 2001 () Citation Context ...gauge theories necessitated a non-Abelian generalization of the Stokes theorem. Nowadays, there are quite a few formulations of non-Abelian Stokes theorem (NAST) available (for review see, e.g., Ref. =-=[1]-=- and ...
Non-Abelian Stokes Theorem - Broda - 2001 () Citation Context ...gauge theories necessitated a non-Abelian generalization of the Stokes theorem. Nowadays, there are quite a few formulations of non-Abelian Stokes theorem (NAST) available (for review see, e.g., Ref. =-=[1]-=- and ...
Non-Abelian gauge field optics. Nat. Commun. 10, 3125 (2019). ADS PubMed PubMed Central Google Scholar Yang, Y. et al. Synthesis and observation of non-Abelian gauge fields in real space. Science 365, 1021–1025 (2019). ADS MathSciNet CAS PubMed Google Scholar Leinaas, J. M. ...
The Hofstadter model, well known for its fractal butterfly spectrum, describes two-dimensional electrons under a perpendicular magnetic field, which gives rise to the integer quantum Hall effect. Inspired by the real-space building blocks of non-Abelian gauge fields from a recent experiment, we int...