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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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IOP Publishing
2015-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-12T16:42:35Z |
format | Article |
id | doaj.art-8099c9e21ff94eb9a7b5c29466e1e2aa |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:42:35Z |
publishDate | 2015-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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 |
work_keys_str_mv | AT emanuelelevi crystallinestructuresandfrustrationinatwocomponentrydberggas AT jiriminar crystallinestructuresandfrustrationinatwocomponentrydberggas AT juanpgarrahan crystallinestructuresandfrustrationinatwocomponentrydberggas AT igorlesanovsky crystallinestructuresandfrustrationinatwocomponentrydberggas |