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

Autor:	Eisler, Viktor, Tonni, Erik, Peschel, Ingo
Rok vydání:	2022
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Zdroj:	J. Stat. Mech. (2022) 083101
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/ac8151
Popis:	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. Comment: 33 pages, 9 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.03966 Zobrazit plný text záznamu View this record from Arxiv