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.
Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals / Eisler, Viktor; Tonni, Erik; Peschel, Ingo. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2022:8(2022), pp. 1-31. [10.1088/1742-5468/ac8151]
Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
Erik Tonni;
2022-01-01
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.File | Dimensione | Formato | |
---|---|---|---|
Eisler_2022_J._Stat._Mech._2022_083101.pdf
accesso aperto
Descrizione: pdf editoriale
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
4.84 MB
Formato
Adobe PDF
|
4.84 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.