一维无自旋费米子的可操作纠缠
Operationally accessible entanglement of one dimensional spinless fermions
摘要：
对于不可区分的巡回粒子的超选择规则固定其总数，一部分的纠缠熵下的基态的空间二分是由于子系统之间的粒子波动，因此是不可访问的资源量子信息处理。我们通过精确对角化和密度矩阵重整化群量化了一维晶格上相互作用的无自旋费米子模型中剩余的可操作纠缠。我们发现，对于吸引相互作用，可达纠缠在Tomonaga-Luttinger液体和相分离固体之间的一阶相变时完全消失，而对于排斥相互作用，可达纠缠在向电荷密度波的转变时达到最大.在整个相图中，我们讨论了可访问的纠缠熵和描述子区域内粒子数波动的概率分布的方差之间的连接。
英文摘要：
For indistinguishable itinerant particles subject to a superselection rule fixing their total number, a portion of the entanglement entropy under a spatial bipartition of the ground state is due to particle fluctuations between subsystems and thus is inaccessible as a resource for quantum information processing. We quantify the remaining operationally accessible entanglement in a model of interacting spinless fermions on a one dimensional lattice via exact diagonalization and the density matrix renormalization group. We find that the accessible entanglement exactly vanishes at the first order phase transition between a Tomonaga-Luttinger liquid and phase separated solid for attractive interactions and is maximal at the transition to the charge density wave for repulsive interactions. Throughout the phase diagram, we discuss the connection between the accessible entanglement entropy and the variance of the probability distribution describing intra-subregion particle number fluctuations.
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