Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases

Abstract The Dirac fermion is an important fundamental particle appearing in high-energy physics and topological insulator physics. In particular, a Dirac fermion in a one-dimensional lattice system exhibits the essential properties of topological physics. However, the system has not been quantum si...

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Autores principales:	Yoshihito Kuno, Ikuo Ichinose, Yoshiro Takahashi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/f88c67be2f73486c92b9e2481aab6673
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spelling	oai:doaj.org-article:f88c67be2f73486c92b9e2481aab66732021-12-02T12:32:47ZGeneralized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases10.1038/s41598-018-29143-w2045-2322https://doaj.org/article/f88c67be2f73486c92b9e2481aab66732018-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-29143-whttps://doaj.org/toc/2045-2322Abstract The Dirac fermion is an important fundamental particle appearing in high-energy physics and topological insulator physics. In particular, a Dirac fermion in a one-dimensional lattice system exhibits the essential properties of topological physics. However, the system has not been quantum simulated in experiments yet. Herein, we propose a one-dimensional generalized lattice Wilson-Dirac fermion model and study its topological phase structure. We show the experimental setups of an atomic quantum simulator for the model, in which two parallel optical lattices with the same tilt for trapping cold fermion atoms and a laser-assisted hopping scheme are used. Interestingly, we find that the model exhibits nontrivial topological phases characterized by gapless edge modes and a finite winding number in the broad regime of the parameter space. Some of the phase diagrams closely resemble those of the Haldane model. We also discuss topological charge pumping and a lattice Gross-Neveu model in the system of generalized Wilson-Dirac fermions.Yoshihito KunoIkuo IchinoseYoshiro TakahashiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-13 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yoshihito Kuno Ikuo Ichinose Yoshiro Takahashi Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
description	Abstract The Dirac fermion is an important fundamental particle appearing in high-energy physics and topological insulator physics. In particular, a Dirac fermion in a one-dimensional lattice system exhibits the essential properties of topological physics. However, the system has not been quantum simulated in experiments yet. Herein, we propose a one-dimensional generalized lattice Wilson-Dirac fermion model and study its topological phase structure. We show the experimental setups of an atomic quantum simulator for the model, in which two parallel optical lattices with the same tilt for trapping cold fermion atoms and a laser-assisted hopping scheme are used. Interestingly, we find that the model exhibits nontrivial topological phases characterized by gapless edge modes and a finite winding number in the broad regime of the parameter space. Some of the phase diagrams closely resemble those of the Haldane model. We also discuss topological charge pumping and a lattice Gross-Neveu model in the system of generalized Wilson-Dirac fermions.
format	article
author	Yoshihito Kuno Ikuo Ichinose Yoshiro Takahashi
author_facet	Yoshihito Kuno Ikuo Ichinose Yoshiro Takahashi
author_sort	Yoshihito Kuno
title	Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
title_short	Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
title_full	Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
title_fullStr	Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
title_full_unstemmed	Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
title_sort	generalized lattice wilson–dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/f88c67be2f73486c92b9e2481aab6673
work_keys_str_mv	AT yoshihitokuno generalizedlatticewilsondiracfermionsin11dimensionsforatomicquantumsimulationandtopologicalphases AT ikuoichinose generalizedlatticewilsondiracfermionsin11dimensionsforatomicquantumsimulationandtopologicalphases AT yoshirotakahashi generalizedlatticewilsondiracfermionsin11dimensionsforatomicquantumsimulationandtopologicalphases
_version_	1718394015822381056

Generalized lattice Wilson–Dirac fermions in (1 + 1) dimensions for atomic quantum simulation and topological phases

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