Particle partition entanglement of one dimensional spinless fermions
Particle partition entanglement of one dimensional spinless fermions
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DOI：
10.1088/1742-5468/aa819a
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发表时间：
2017-03
期刊：
影响因子：
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通讯作者：
H. Barghathi;Emanuel Casiano-Diaz;A. Del Maestro
中科院分区：
文献类型：
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作者：
H. Barghathi;Emanuel Casiano-Diaz;A. Del Maestro
本文研究了一维空间中相互作用的无自旋费米子的粒子二分态的Rényi纠缠熵的标度。在Tomonaga-Luttinger液体区域，我们计算了第二类Rényi纠缠熵，并证明了首阶有限尺寸标度等于系统尺寸的一个普适对数加上一个非普适常数.高阶校正衰减的幂律系统的大小与指数，只依赖于Luttinger参数。我们通过精确对角化技术研究了无自旋费米子相互作用的一维t-V模型，证实了我们的结果的普适性。由此产生的粒子分割纠缠的边界条件和统计的敏感性支持其作为量子液体的探针的效用。
We investigate the scaling of the Rényi entanglement entropies for a particle bipartition of interacting spinless fermions in one spatial dimension. In the Tomonaga–Luttinger liquid regime, we calculate the second Rényi entanglement entropy and show that the leading order finite-size scaling is equal to a universal logarithm of the system size plus a non-universal constant. Higher-order corrections decay as power-laws in the system size with exponents that depend only on the Luttinger parameter. We confirm the universality of our results by investigating the one dimensional t−V model of interacting spinless fermions via exact-diagonalization techniques. The resulting sensitivity of the particle partition entanglement to boundary conditions and statistics supports its utility as a probe of quantum liquids.