On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions

Autor:	Eisler, Viktor
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We study the ground-state entanglement Hamiltonian of free nonrelativistic fermions for semi-infinite domains in one dimension. This is encoded in the two-point correlations projected onto the subsystem, an operator that commutes with the linear deformation of the physical Hamiltonian. The corresponding eigenfunctions are shown to possess the exact same structure both in the continuum as well as on the lattice. Namely, they are superpositions of the occupied single-particle modes of the total Hamiltonian, weighted by the inverse of their energy as measured from the Fermi level, and multiplied by an extra phase proportional to the integrated weight. Using this ansatz, we prove that the Bisognano-Wichmann form of the entanglement Hamiltonian becomes exact, up to a nonuniversal prefactor that depends on the dispersion for gapped chains. Comment: 17 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.16433 Zobrazit plný text záznamu View this record from Arxiv