Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field

Abstract Quantum states can acquire a geometric phase called the Berry phase after adiabatically traversing a closed loop, which depends on the path not the rate of motion. The Berry phase is analogous to the Aharonov–Bohm phase derived from the electromagnetic vector potential, and can be expressed...

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Autores principales:	Seiji Sugawa, Francisco Salces-Carcoba, Yuchen Yue, Andika Putra, I. B. Spielman
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/332334fc49c94d3d845126aa1f0f09db
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spelling	oai:doaj.org-article:332334fc49c94d3d845126aa1f0f09db2021-12-02T18:51:13ZWilson loop and Wilczek-Zee phase from a non-Abelian gauge field10.1038/s41534-021-00483-22056-6387https://doaj.org/article/332334fc49c94d3d845126aa1f0f09db2021-09-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00483-2https://doaj.org/toc/2056-6387Abstract Quantum states can acquire a geometric phase called the Berry phase after adiabatically traversing a closed loop, which depends on the path not the rate of motion. The Berry phase is analogous to the Aharonov–Bohm phase derived from the electromagnetic vector potential, and can be expressed in terms of an Abelian gauge potential called the Berry connection. Wilczek and Zee extended this concept to include non-Abelian phases—characterized by the gauge-independent Wilson loop—resulting from non-Abelian gauge potentials. Using an atomic Bose–Einstein condensate, we quantum-engineered a non-Abelian SU(2) gauge field, generated by a Yang monopole located at the origin of a 5-dimensional parameter space. By slowly encircling the monopole, we characterized the Wilczek–Zee phase in terms of the Wilson loop, that depended on the solid-angle subtended by the encircling path: a generalization of Stokes’ theorem. This observation marks the observation of the Wilson loop resulting from a non-Abelian point source.Seiji SugawaFrancisco Salces-CarcobaYuchen YueAndika PutraI. B. SpielmanNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Seiji Sugawa Francisco Salces-Carcoba Yuchen Yue Andika Putra I. B. Spielman Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
description	Abstract Quantum states can acquire a geometric phase called the Berry phase after adiabatically traversing a closed loop, which depends on the path not the rate of motion. The Berry phase is analogous to the Aharonov–Bohm phase derived from the electromagnetic vector potential, and can be expressed in terms of an Abelian gauge potential called the Berry connection. Wilczek and Zee extended this concept to include non-Abelian phases—characterized by the gauge-independent Wilson loop—resulting from non-Abelian gauge potentials. Using an atomic Bose–Einstein condensate, we quantum-engineered a non-Abelian SU(2) gauge field, generated by a Yang monopole located at the origin of a 5-dimensional parameter space. By slowly encircling the monopole, we characterized the Wilczek–Zee phase in terms of the Wilson loop, that depended on the solid-angle subtended by the encircling path: a generalization of Stokes’ theorem. This observation marks the observation of the Wilson loop resulting from a non-Abelian point source.
format	article
author	Seiji Sugawa Francisco Salces-Carcoba Yuchen Yue Andika Putra I. B. Spielman
author_facet	Seiji Sugawa Francisco Salces-Carcoba Yuchen Yue Andika Putra I. B. Spielman
author_sort	Seiji Sugawa
title	Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
title_short	Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
title_full	Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
title_fullStr	Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
title_full_unstemmed	Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
title_sort	wilson loop and wilczek-zee phase from a non-abelian gauge field
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/332334fc49c94d3d845126aa1f0f09db
work_keys_str_mv	AT seijisugawa wilsonloopandwilczekzeephasefromanonabeliangaugefield AT franciscosalcescarcoba wilsonloopandwilczekzeephasefromanonabeliangaugefield AT yuchenyue wilsonloopandwilczekzeephasefromanonabeliangaugefield AT andikaputra wilsonloopandwilczekzeephasefromanonabeliangaugefield AT ibspielman wilsonloopandwilczekzeephasefromanonabeliangaugefield
_version_	1718377438525784064

Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field

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