Signatures of fractional statistics in nonlinear pump-probe spectroscopy

We show that the presence of anyons in the excitation spectrum of a two-dimensional system can be inferred from nonlinear spectroscopic quantities. In particular, we consider pump-probe spectroscopy, where a sample is irradiated by two light pulses with an adjustable time delay between them. The rel...

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Main Authors: McGinley, M, Fava, M, Parameswaran, SA
Format: Journal article
Language:English
Published: American Physical Society 2024
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author McGinley, M
Fava, M
Parameswaran, SA
author_facet McGinley, M
Fava, M
Parameswaran, SA
author_sort McGinley, M
collection OXFORD
description We show that the presence of anyons in the excitation spectrum of a two-dimensional system can be inferred from nonlinear spectroscopic quantities. In particular, we consider pump-probe spectroscopy, where a sample is irradiated by two light pulses with an adjustable time delay between them. The relevant response coefficient exhibits a universal form that originates from the statistical phase acquired when anyons created by the first pulse braid around those created by the second. This behavior is shown to be qualitatively unchanged by nonuniversal physics including nonstatistical interactions and small nonzero temperatures. In magnetic systems, the signal of interest can be measured using currently available terahertz-domain probes, highlighting the potential usefulness of nonlinear spectroscopic techniques in the search for quantum spin liquids.
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spelling oxford-uuid:42ca93e6-cebd-446b-b6d8-4f7db0c237ea2024-02-19T11:36:30ZSignatures of fractional statistics in nonlinear pump-probe spectroscopyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:42ca93e6-cebd-446b-b6d8-4f7db0c237eaEnglishSymplectic ElementsAmerican Physical Society2024McGinley, MFava, MParameswaran, SAWe show that the presence of anyons in the excitation spectrum of a two-dimensional system can be inferred from nonlinear spectroscopic quantities. In particular, we consider pump-probe spectroscopy, where a sample is irradiated by two light pulses with an adjustable time delay between them. The relevant response coefficient exhibits a universal form that originates from the statistical phase acquired when anyons created by the first pulse braid around those created by the second. This behavior is shown to be qualitatively unchanged by nonuniversal physics including nonstatistical interactions and small nonzero temperatures. In magnetic systems, the signal of interest can be measured using currently available terahertz-domain probes, highlighting the potential usefulness of nonlinear spectroscopic techniques in the search for quantum spin liquids.
spellingShingle McGinley, M
Fava, M
Parameswaran, SA
Signatures of fractional statistics in nonlinear pump-probe spectroscopy
title Signatures of fractional statistics in nonlinear pump-probe spectroscopy
title_full Signatures of fractional statistics in nonlinear pump-probe spectroscopy
title_fullStr Signatures of fractional statistics in nonlinear pump-probe spectroscopy
title_full_unstemmed Signatures of fractional statistics in nonlinear pump-probe spectroscopy
title_short Signatures of fractional statistics in nonlinear pump-probe spectroscopy
title_sort signatures of fractional statistics in nonlinear pump probe spectroscopy
work_keys_str_mv AT mcginleym signaturesoffractionalstatisticsinnonlinearpumpprobespectroscopy
AT favam signaturesoffractionalstatisticsinnonlinearpumpprobespectroscopy
AT parameswaransa signaturesoffractionalstatisticsinnonlinearpumpprobespectroscopy