Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases

The physics of highly excited Rydberg atoms is governed by blockade or exclusion interactions that hinder the excitation of atoms in the proximity of a previously excited one. This leads to cooperative effects and a relaxation dynamics displaying space-time heterogeneity similar to what is observed...

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Main Authors: Pérez-Espigares, Carlos, Lesanovsky, Igor, Garrahan, Juan P., Gutiérrez, Ricardo
Format: Article
Language:English
Published: American Physical Society 2018
Online Access:https://eprints.nottingham.ac.uk/55170/
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author Pérez-Espigares, Carlos
Lesanovsky, Igor
Garrahan, Juan P.
Gutiérrez, Ricardo
author_facet Pérez-Espigares, Carlos
Lesanovsky, Igor
Garrahan, Juan P.
Gutiérrez, Ricardo
author_sort Pérez-Espigares, Carlos
building Nottingham Research Data Repository
collection Online Access
description The physics of highly excited Rydberg atoms is governed by blockade or exclusion interactions that hinder the excitation of atoms in the proximity of a previously excited one. This leads to cooperative effects and a relaxation dynamics displaying space-time heterogeneity similar to what is observed in the relaxation of glass-forming systems. Here, we establish theoretically the existence of a glassy dynamical regime in an open Rydberg gas, associated with phase coexistence at a first-order transition in dynamical large deviation functions. This transition occurs between an active phase of low density in which dynamical processes take place on short timescales, and an inactive phase in which excited atoms are dense and the dynamics is highly arrested. We perform a numerically exact study and develop a mean-field approach that allows us to understand the mechanics of this phase transition. We show that radiative decay—which becomes experimentally relevant for long times—moves the system away from dynamical phase coexistence. Nevertheless, the dynamical phase transition persists and causes strong fluctuations in the observed dynamics.
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spelling nottingham-551702018-10-01T12:51:46Z https://eprints.nottingham.ac.uk/55170/ Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases Pérez-Espigares, Carlos Lesanovsky, Igor Garrahan, Juan P. Gutiérrez, Ricardo The physics of highly excited Rydberg atoms is governed by blockade or exclusion interactions that hinder the excitation of atoms in the proximity of a previously excited one. This leads to cooperative effects and a relaxation dynamics displaying space-time heterogeneity similar to what is observed in the relaxation of glass-forming systems. Here, we establish theoretically the existence of a glassy dynamical regime in an open Rydberg gas, associated with phase coexistence at a first-order transition in dynamical large deviation functions. This transition occurs between an active phase of low density in which dynamical processes take place on short timescales, and an inactive phase in which excited atoms are dense and the dynamics is highly arrested. We perform a numerically exact study and develop a mean-field approach that allows us to understand the mechanics of this phase transition. We show that radiative decay—which becomes experimentally relevant for long times—moves the system away from dynamical phase coexistence. Nevertheless, the dynamical phase transition persists and causes strong fluctuations in the observed dynamics. American Physical Society 2018-08-30 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/55170/7/LDRydberg_arXiv.pdf Pérez-Espigares, Carlos, Lesanovsky, Igor, Garrahan, Juan P. and Gutiérrez, Ricardo (2018) Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases. Physical Review A, 98 (2). ISSN 2469-9926 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.98.021804 doi:10.1103/physreva.98.021804 doi:10.1103/physreva.98.021804
spellingShingle Pérez-Espigares, Carlos
Lesanovsky, Igor
Garrahan, Juan P.
Gutiérrez, Ricardo
Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
title Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
title_full Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
title_fullStr Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
title_full_unstemmed Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
title_short Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
title_sort glassy dynamics due to a trajectory phase transition in dissipative rydberg gases
url https://eprints.nottingham.ac.uk/55170/
https://eprints.nottingham.ac.uk/55170/
https://eprints.nottingham.ac.uk/55170/