Crystalline structures and frustration in a two-component Rydberg gas

We study the static behavior of a gas of atoms held in a one-dimensional lattice where two distinct electronically high-lying Rydberg states are simultaneously excited by laser light. We focus on a situation where interactions of van-der-Waals type take place only among atoms that are in the same Ry...

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Main Authors: Emanuele Levi, Jiří Minář, Juan P Garrahan, Igor Lesanovsky
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/12/123017
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author Emanuele Levi
Jiří Minář
Juan P Garrahan
Igor Lesanovsky
author_facet Emanuele Levi
Jiří Minář
Juan P Garrahan
Igor Lesanovsky
author_sort Emanuele Levi
collection DOAJ
description We study the static behavior of a gas of atoms held in a one-dimensional lattice where two distinct electronically high-lying Rydberg states are simultaneously excited by laser light. We focus on a situation where interactions of van-der-Waals type take place only among atoms that are in the same Rydberg state. We analytically investigate at first the so-called classical limit of vanishing laser driving strength. We show that the system exhibits a surprisingly complex ground state structure with a sequence of compatible to incompatible transitions. The incompatibility between the species leads to mutual frustration, a feature which pertains also in the quantum regime. We perform an analytical and numerical investigation of these features and present an approximative description of the system in terms of a Rokhsar–Kivelson Hamiltonian which permits the analytical understanding of the frustration effects even beyond the classical limit.
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spelling doaj.art-8099c9e21ff94eb9a7b5c29466e1e2aa2023-08-08T14:24:23ZengIOP PublishingNew Journal of Physics1367-26302015-01-01171212301710.1088/1367-2630/17/12/123017Crystalline structures and frustration in a two-component Rydberg gasEmanuele Levi0Jiří Minář1Juan P Garrahan2Igor Lesanovsky3School of Physics and Astronomy , University of Nottingham, Nottingham, NG7 2RD, UKSchool of Physics and Astronomy , University of Nottingham, Nottingham, NG7 2RD, UKSchool of Physics and Astronomy , University of Nottingham, Nottingham, NG7 2RD, UKSchool of Physics and Astronomy , University of Nottingham, Nottingham, NG7 2RD, UKWe study the static behavior of a gas of atoms held in a one-dimensional lattice where two distinct electronically high-lying Rydberg states are simultaneously excited by laser light. We focus on a situation where interactions of van-der-Waals type take place only among atoms that are in the same Rydberg state. We analytically investigate at first the so-called classical limit of vanishing laser driving strength. We show that the system exhibits a surprisingly complex ground state structure with a sequence of compatible to incompatible transitions. The incompatibility between the species leads to mutual frustration, a feature which pertains also in the quantum regime. We perform an analytical and numerical investigation of these features and present an approximative description of the system in terms of a Rokhsar–Kivelson Hamiltonian which permits the analytical understanding of the frustration effects even beyond the classical limit.https://doi.org/10.1088/1367-2630/17/12/123017Rydbergfrustrationtwo-componentcrystalcrystalline
spellingShingle Emanuele Levi
Jiří Minář
Juan P Garrahan
Igor Lesanovsky
Crystalline structures and frustration in a two-component Rydberg gas
New Journal of Physics
Rydberg
frustration
two-component
crystal
crystalline
title Crystalline structures and frustration in a two-component Rydberg gas
title_full Crystalline structures and frustration in a two-component Rydberg gas
title_fullStr Crystalline structures and frustration in a two-component Rydberg gas
title_full_unstemmed Crystalline structures and frustration in a two-component Rydberg gas
title_short Crystalline structures and frustration in a two-component Rydberg gas
title_sort crystalline structures and frustration in a two component rydberg gas
topic Rydberg
frustration
two-component
crystal
crystalline
url https://doi.org/10.1088/1367-2630/17/12/123017
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AT igorlesanovsky crystallinestructuresandfrustrationinatwocomponentrydberggas