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Abstract
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.
Originalsprache | englisch |
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Aufsatznummer | 083101 |
Fachzeitschrift | Journal of Statistical Mechanics: Theory and Experiment |
Jahrgang | 2022 |
Ausgabenummer | 8 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Aug. 2022 |
ASJC Scopus subject areas
- Statistische und nichtlineare Physik
- Statistik und Wahrscheinlichkeit
- Statistik, Wahrscheinlichkeit und Ungewissheit
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Untersuchen Sie die Forschungsthemen von „Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals“. Zusammen bilden sie einen einzigartigen Fingerprint.Projekte
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FWF - Entanglement - Verschränkungsoperatoren in Quanten-Vielteilchenphysik
16/12/21 → 30/04/25
Projekt: Forschungsprojekt