Symmetry resolved entanglement of excited states in quantum field theory. Part I. Free theories, twist fields and qubits
Symmetry resolved entanglement of excited states in quantum field theory. Part I. Free theories, twist fields and qubits
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对称性解决了量子场论中激发态的纠缠。
DOI：
10.1007/jhep12(2022)127
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发表时间：
2022
影响因子：
5.4
通讯作者：
Capizzi L
中科院分区：
文献类型：
--
作者：
Capizzi L
在自由可积量子场论的基态上激发有限个准粒子所引起的过量纠缠在文献中已经被广泛地研究过了。人们已经发现，它的形式非常简单，只取决于激发次数及其统计数字。现在有越来越多的证据表明，这些公式也适用于相互作用甚至更高维的量子理论。在本文中，我们研究了这种零密度激发态的纠缠含量，重点是对称分辨纠缠，即具有内部对称性的1+1维量子场论。激发态和基态之间的荷电矩之比可以得到对称分辨纠缠熵，它具有非常简单和普遍的形式，除了激发的数目和统计外，现在还取决于对称电荷。利用形状因子技术，我们得到了具有U(1)对称性的复自由态理论中的力矩比和对称性分解的纠缠熵。对于简单的量子比特态，也可以找到相同的公式。
The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a very simple form, depending only on the number of excitations and their statistics. There is now mounting evidence that such formulae also apply to interacting and even higher-dimensional quantum theories. In this paper we study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement, that is on 1+ 1D quantum field theories that possess an internal symmetry. The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form, which in addition to the number and statistics of the excitations, now depends also on the symmetry charge. Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess U (1) symmetry. The same formulae are found for simple qubit states.
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DOI：
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发表时间：
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