Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid

We study theoretically the nonlinear optical response of Tomonaga-Luttinger spin liquid in the context of terahertz (THz) two-dimensional coherent spectroscopy (2DCS). Using the gapless phase of the XXZ-type spin chain as an example, we show that its third-order nonlinear magnetic susceptibilities χ...

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Autores principales: Zi-Long Li, Masaki Oshikawa, Yuan Wan
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Publicado: American Physical Society 2021
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spelling oai:doaj.org-article:1425999224454fd1a107999ec9347f392021-12-02T16:27:31ZPhoton Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid10.1103/PhysRevX.11.0310352160-3308https://doaj.org/article/1425999224454fd1a107999ec9347f392021-08-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031035http://doi.org/10.1103/PhysRevX.11.031035https://doaj.org/toc/2160-3308We study theoretically the nonlinear optical response of Tomonaga-Luttinger spin liquid in the context of terahertz (THz) two-dimensional coherent spectroscopy (2DCS). Using the gapless phase of the XXZ-type spin chain as an example, we show that its third-order nonlinear magnetic susceptibilities χ_{+--+}^{(3)} and χ_{-++-}^{(3)} exhibit photon echo, where ± refers to the left- or right-hand circular polarization with respect to the S^{z} axis. The photon echo arises from a “lensing” phenomenon in which the wave packets of fractional excitations move apart and then come back toward each other, amounting to a refocusing of the excitations’ world lines. Renormalization-group-irrelevant corrections to the fixed-point Hamiltonian result in dispersion and/or damping of the wave packets, which can be sensitively detected by lensing and consequently the photon echo. Our results thus unveil the strength of THz 2DCS in probing the dynamical properties of the collective excitations in a prototypical gapless many-body system.Zi-Long LiMasaki OshikawaYuan WanAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031035 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Zi-Long Li
Masaki Oshikawa
Yuan Wan
Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid
description We study theoretically the nonlinear optical response of Tomonaga-Luttinger spin liquid in the context of terahertz (THz) two-dimensional coherent spectroscopy (2DCS). Using the gapless phase of the XXZ-type spin chain as an example, we show that its third-order nonlinear magnetic susceptibilities χ_{+--+}^{(3)} and χ_{-++-}^{(3)} exhibit photon echo, where ± refers to the left- or right-hand circular polarization with respect to the S^{z} axis. The photon echo arises from a “lensing” phenomenon in which the wave packets of fractional excitations move apart and then come back toward each other, amounting to a refocusing of the excitations’ world lines. Renormalization-group-irrelevant corrections to the fixed-point Hamiltonian result in dispersion and/or damping of the wave packets, which can be sensitively detected by lensing and consequently the photon echo. Our results thus unveil the strength of THz 2DCS in probing the dynamical properties of the collective excitations in a prototypical gapless many-body system.
format article
author Zi-Long Li
Masaki Oshikawa
Yuan Wan
author_facet Zi-Long Li
Masaki Oshikawa
Yuan Wan
author_sort Zi-Long Li
title Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid
title_short Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid
title_full Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid
title_fullStr Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid
title_full_unstemmed Photon Echo from Lensing of Fractional Excitations in Tomonaga-Luttinger Spin Liquid
title_sort photon echo from lensing of fractional excitations in tomonaga-luttinger spin liquid
publisher American Physical Society
publishDate 2021
url https://doaj.org/article/1425999224454fd1a107999ec9347f39
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AT masakioshikawa photonechofromlensingoffractionalexcitationsintomonagaluttingerspinliquid
AT yuanwan photonechofromlensingoffractionalexcitationsintomonagaluttingerspinliquid
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