Nonlinear spectroscopy of random quantum magnets

We study nonlinear response in quantum spin systems near infinite-randomness critical points. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in such systems. We present exact results for nonlinear response in...

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Main Authors: Parameswaran, SA, Gopalakrishnan, S
Format: Journal article
Language:English
Published: American Physical Society 2020
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author Parameswaran, SA
Gopalakrishnan, S
author_facet Parameswaran, SA
Gopalakrishnan, S
author_sort Parameswaran, SA
collection OXFORD
description We study nonlinear response in quantum spin systems near infinite-randomness critical points. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in such systems. We present exact results for nonlinear response in the 1D random transverse-field Ising model, from which we extract information about critical behavior that is absent in linear response. Our analysis yields exact scaling forms for the distribution functions of relaxation times that result from realistic channels for dissipation in random magnets. We argue that our results capture the scaling of relaxation times and nonlinear response in generic random quantum magnets in any spatial dimension.
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spelling oxford-uuid:524e4075-b4af-4666-b202-3a28a933e0ca2022-03-26T16:24:45ZNonlinear spectroscopy of random quantum magnetsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:524e4075-b4af-4666-b202-3a28a933e0caEnglishSymplectic ElementsAmerican Physical Society2020Parameswaran, SAGopalakrishnan, SWe study nonlinear response in quantum spin systems near infinite-randomness critical points. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in such systems. We present exact results for nonlinear response in the 1D random transverse-field Ising model, from which we extract information about critical behavior that is absent in linear response. Our analysis yields exact scaling forms for the distribution functions of relaxation times that result from realistic channels for dissipation in random magnets. We argue that our results capture the scaling of relaxation times and nonlinear response in generic random quantum magnets in any spatial dimension.
spellingShingle Parameswaran, SA
Gopalakrishnan, S
Nonlinear spectroscopy of random quantum magnets
title Nonlinear spectroscopy of random quantum magnets
title_full Nonlinear spectroscopy of random quantum magnets
title_fullStr Nonlinear spectroscopy of random quantum magnets
title_full_unstemmed Nonlinear spectroscopy of random quantum magnets
title_short Nonlinear spectroscopy of random quantum magnets
title_sort nonlinear spectroscopy of random quantum magnets
work_keys_str_mv AT parameswaransa nonlinearspectroscopyofrandomquantummagnets
AT gopalakrishnans nonlinearspectroscopyofrandomquantummagnets