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Particle partition entanglement of bosonic Luttinger liquids

机译:玻色Luttinger液体的粒子分配纠缠

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We consider the Renyi entanglement entropy of bosonic Tomonaga-Luttinger liquids under a particle bipartition and demonstrate that the leading order finite-size scaling is logarithmic in the system size with a prefactor equal to the inverse Luttinger parameter. While higher-order corrections involve a microscopic length scale, the leading-order scaling depends only on this sole dimensionless parameter which characterizes the low-energy quantum hydrodynamics. This result contrasts the leading entanglement entropy scaling under a spatial bipartition, for which the coefficient is universal and independent of the Luttinger parameter. Using quantum Monte Carlo calculations, we explicitly confirm the scaling predictions of Tomonaga-Luttinger liquid theory for the Lieb-Liniger model of δ-function interacting bosons in the one-dimensional spatial continuum.
机译:我们考虑了玻色子Tomonaga-Luttinger液体在粒子划分下的Renyi纠缠熵,并证明了系统尺寸的前导有限尺寸标度是对数的,其前置因子等于反Luttinger参数。尽管高阶校正涉及微观长度尺度,但前导尺度仅取决于唯一的无量纲参数,该参数表征了低能量子流体动力学。该结果与空间二分法下的前导纠缠熵定标形成对比,该空间二分法的系数是通用的并且与Luttinger参数无关。使用量子蒙特卡洛计算,我们明确确认了Tomonaga-Luttinger液体理论对一维空间连续体中δ函数相互作用玻色子的Lieb-Liniger模型的缩放预测。

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