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

机译:Photon回声从截止旋转液中的分数激励镜头

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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 X X Z -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.
机译:在理论上,从理论上研究了Terahertz(THz)二维相干光谱(2DCS)的背景下的Tomonaga-Luttinger旋转液的非线性光学响应。使用X X Z-TYPE旋转链的无间隙阶段作为一个例子,我们表明其三阶非线性磁性敏感性χ?还(3)和χ?还(3)表现出光子回波,其中±是指相对于S Z轴的左手或右手圆偏振。光子回波由“透镜”现象产生,其中分数激励的波浪分组移开,然后朝向彼此回来,相当于重新焦于激励的世界线。重新定化 - 对固定点Hamiltonian的反校正导致波浪分组的分散和/或阻尼,这可以通过透镜敏感地检测到光子回波。因此,我们的结果揭示了THz 2DC的强度在探测原型无间式系统系统中集体激励的动态特性。

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