Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

被引：8

作者：

Eisler, Viktor ^{[1
]}

Tonni, Erik ^{[2
,3
]}

Peschel, Ingo ^{[4
]}

机构：

[1] Graz Univ Technol, Inst Theoret Phys, Petersgasse 16, A-8010 Graz, Austria

[2] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[3] Ist Nazl Fis Nucl, Sez Trieste, Via Bonomea 265, I-34136 Trieste, Italy

[4] Free Univ Berlin, Fachbereich Phys, Arnimallee 14, D-14195 Berlin, Germany

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2022年 / 2022卷 / 08期

基金：

奥地利科学基金会;

关键词：

conformal field theory; entanglement in extended quantum systems; solvable lattice models; BOUNDARY-CONDITIONS; DUALITY CONDITION;

D O I：

10.1088/1742-5468/ac8151

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a subsystem consisting of two separated intervals. In this case, one has a peculiar long-range hopping between the intervals in addition to the well-known and dominant short-range hopping. We show how the continuum expressions can be recovered from the lattice results for general filling and arbitrary intervals. We also discuss the closely related case of a single interval located at a certain distance from the end of a semi-infinite chain and the continuum limit for this problem. Finally, we show that for the double interval in the continuum a commuting operator exists which can be used to find the eigenstates.

引用

页数：31

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