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Abstract
We consider freefermion chains in the ground state and the entanglement Hamiltonian for a subsystem consisting of two separated intervals. In this case, one has a peculiar longrange hopping between the intervals in addition to the wellknown and dominant shortrange 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 semiinfinite 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.
Original language  English 

Article number  083101 
Journal  Journal of Statistical Mechanics: Theory and Experiment 
Volume  2022 
Issue number  8 
DOIs  
Publication status  Published  1 Aug 2022 
Keywords
 conformal field theory
 entanglement in extended quantum systems
 solvable lattice models
ASJC Scopus subject areas
 Statistical and Nonlinear Physics
 Statistics and Probability
 Statistics, Probability and Uncertainty
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 1 Active

FWF  Entanglement  Entanglement Hamiltonians in quantum manybody physics
16/12/21 → 30/04/25
Project: Research project