Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays

Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge-invariant (plaquette) interactions involve (at least) four-body interacti...

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Autores principales:	Alessio Celi, Benoît Vermersch, Oscar Viyuela, Hannes Pichler, Mikhail D. Lukin, Peter Zoller
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/6c77c9778d4040e89747fe0ba6956632
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spelling	oai:doaj.org-article:6c77c9778d4040e89747fe0ba69566322021-12-02T11:52:50ZEmerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays10.1103/PhysRevX.10.0210572160-3308https://doaj.org/article/6c77c9778d4040e89747fe0ba69566322020-06-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.021057http://doi.org/10.1103/PhysRevX.10.021057https://doaj.org/toc/2160-3308Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge-invariant (plaquette) interactions involve (at least) four-body interactions that are challenging to realize. Here, we show that Rydberg atoms in configurable arrays realized in current tweezer experiments are the natural platform to realize scalable simulators of the Rokhsar-Kivelson Hamiltonian—a 2D U(1) lattice gauge theory that describes quantum dimer and spin-ice dynamics. Using an electromagnetic duality, we implement the plaquette interactions as Rabi oscillations subject to Rydberg blockade. Remarkably, we show that by controlling the atom arrangement in the array we can engineer anisotropic interactions and generalized blockade conditions for spins built of atom pairs. We describe how to prepare the resonating valence bond and the crystal phases of the Rokhsar-Kivelson Hamiltonian adiabatically and probe them and their quench dynamics by on-site measurements of their quantum correlations. We discuss the potential applications of our Rydberg simulator to lattice gauge theory and exotic spin models.Alessio CeliBenoît VermerschOscar ViyuelaHannes PichlerMikhail D. LukinPeter ZollerAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 2, p 021057 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Alessio Celi Benoît Vermersch Oscar Viyuela Hannes Pichler Mikhail D. Lukin Peter Zoller Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
description	Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter. On a lattice, gauge invariance and gauge-invariant (plaquette) interactions involve (at least) four-body interactions that are challenging to realize. Here, we show that Rydberg atoms in configurable arrays realized in current tweezer experiments are the natural platform to realize scalable simulators of the Rokhsar-Kivelson Hamiltonian—a 2D U(1) lattice gauge theory that describes quantum dimer and spin-ice dynamics. Using an electromagnetic duality, we implement the plaquette interactions as Rabi oscillations subject to Rydberg blockade. Remarkably, we show that by controlling the atom arrangement in the array we can engineer anisotropic interactions and generalized blockade conditions for spins built of atom pairs. We describe how to prepare the resonating valence bond and the crystal phases of the Rokhsar-Kivelson Hamiltonian adiabatically and probe them and their quench dynamics by on-site measurements of their quantum correlations. We discuss the potential applications of our Rydberg simulator to lattice gauge theory and exotic spin models.
format	article
author	Alessio Celi Benoît Vermersch Oscar Viyuela Hannes Pichler Mikhail D. Lukin Peter Zoller
author_facet	Alessio Celi Benoît Vermersch Oscar Viyuela Hannes Pichler Mikhail D. Lukin Peter Zoller
author_sort	Alessio Celi
title	Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
title_short	Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
title_full	Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
title_fullStr	Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
title_full_unstemmed	Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
title_sort	emerging two-dimensional gauge theories in rydberg configurable arrays
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/6c77c9778d4040e89747fe0ba6956632
work_keys_str_mv	AT alessioceli emergingtwodimensionalgaugetheoriesinrydbergconfigurablearrays AT benoitvermersch emergingtwodimensionalgaugetheoriesinrydbergconfigurablearrays AT oscarviyuela emergingtwodimensionalgaugetheoriesinrydbergconfigurablearrays AT hannespichler emergingtwodimensionalgaugetheoriesinrydbergconfigurablearrays AT mikhaildlukin emergingtwodimensionalgaugetheoriesinrydbergconfigurablearrays AT peterzoller emergingtwodimensionalgaugetheoriesinrydbergconfigurablearrays
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Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays

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