Entanglement Hamiltonian for inhomogeneous free fermions

Riccarda Bonsignori*, Viktor Eisler

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

Abstract

We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. In particular, we consider a lattice with a linear, as well as a continuum system with a quadratic potential. It is shown that, for both models, conformal field theory predicts a Bisognano-Wichmann form for the entanglement Hamiltonian of a half-infinite system. Furthermore, despite being nonrelativistic, this result is inherited by our models in the form of operators that commute exactly with the entanglement Hamiltonian. After appropriate rescaling, they also yield an excellent approximation of the entanglement spectra, which becomes asymptotically exact in the bulk of the trapped Fermi gas. For the gradient chain, however, the conformal result is recovered only after taking a proper continuum limit.

Originalspracheenglisch
Aufsatznummer275001
FachzeitschriftJournal of Physics A: Mathematical and Theoretical
Jahrgang57
Ausgabenummer27
DOIs
PublikationsstatusVeröffentlicht - 5 Juli 2024

ASJC Scopus subject areas

  • Statistische und nichtlineare Physik
  • Statistik und Wahrscheinlichkeit
  • Modellierung und Simulation
  • Mathematische Physik
  • Allgemeine Physik und Astronomie

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