Aging dynamics in quenched noisy long-range quantum Ising models

  • We consider the d-dimensional transverse-field Ising model with power-law interactions J/rd+σ in the presence of a noisy longitudinal field with zero average. We study the longitudinal-magnetization dynamics of an initial paramagnetic state after a sudden switch-on of both the interactions and the noisy field. While the system eventually relaxes to an infinite-temperature state with vanishing magnetization correlations, we find that two-time correlation functions show aging at intermediate times. Moreover, for times shorter than the inverse noise strength κ and distances longer than a(J/κ)2/σ with a being the lattice spacing, we find a critical scaling regime of correlation and response functions consistent with the model A dynamical universality class with an initial-slip exponent θ=1 and dynamical critical exponent z=σ/2. We obtain our results analytically by deriving an effective action for the magnetization field including the noise in a nonperturbative way. The above scalingWe consider the d-dimensional transverse-field Ising model with power-law interactions J/rd+σ in the presence of a noisy longitudinal field with zero average. We study the longitudinal-magnetization dynamics of an initial paramagnetic state after a sudden switch-on of both the interactions and the noisy field. While the system eventually relaxes to an infinite-temperature state with vanishing magnetization correlations, we find that two-time correlation functions show aging at intermediate times. Moreover, for times shorter than the inverse noise strength κ and distances longer than a(J/κ)2/σ with a being the lattice spacing, we find a critical scaling regime of correlation and response functions consistent with the model A dynamical universality class with an initial-slip exponent θ=1 and dynamical critical exponent z=σ/2. We obtain our results analytically by deriving an effective action for the magnetization field including the noise in a nonperturbative way. The above scaling regime is governed by a nonequilibrium fixed point dominated by the noise fluctuations.show moreshow less

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Metadaten
Author:Jad C. Halimeh, Matthias Punk, Francesco PiazzaORCiDGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/108384
ISSN:2469-9950OPAC
ISSN:2469-9969OPAC
Parent Title (English):Physical Review B
Publisher:American Physical Society (APS)
Type:Article
Language:English
Year of first Publication:2018
Release Date:2023/10/16
Volume:98
Issue:4
First Page:045111
DOI:https://doi.org/10.1103/physrevb.98.045111
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III