Charged Entanglement Entropy of Local Operators

Charged Entanglement Entropy of Local Operators
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DOI:
10.1103/physrevd.93.105032
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发表时间:
2015-12
期刊:
影响因子:
5
通讯作者:
Paweł Caputa;M. Nozaki;Tokiro Numasawa
Paweł Caputa;M. Nozaki;Tokiro Numasawa
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Paweł Caputa;M. Nozaki;Tokiro Numasawa

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在这项工作中,我们考虑了用局域费米子算符激发真空后带电Renyi纠缠熵的时间演化。为了探索带电Renyi熵所包含的信息,我们计算了二维CFT中的算符激发、不同维度的自由费米子场理论以及全息计算所产生的超额信息。在分析中,我们重点讨论了纠缠电荷、化学势和时空维度的依赖关系。我们发现,过度的带电(Renyi)纠缠熵可以用带电准粒子来解释。此外,我们还证明了通过适当地调节化学势,带电的Renyi熵可以用来提取激发态的某个电荷区段的纠缠。
In this work we consider the time evolution of charged Renyi entanglement entropies after exciting the vacuum with local fermionic operators. In order to explore the information contained in charged Renyi entropies, we perform computations of their excess due to the operator excitation in 2d CFT, free fermionic field theories in various dimensions as well as holographically. In the analysis we focus on the dependence on the entanglement charge, the chemical potential and the spacetime dimension. We find that excesses of charged (Renyi) entanglement entropy can be interpreted in terms of charged quasiparticles. Moreover, we show that by appropriately tuning the chemical potential, charged Renyi entropies can be used to extract entanglement in a certain charge sector of the excited state.