Entanglement Hamiltonian of a nonrelativistic Fermi gas

Autor:	Eisler, Viktor
Rok vydání:	2023
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Quantum Physics
Zdroj:	Phys. Rev. B 109, L201113 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevB.109.L201113
Popis:	We study the entanglement Hamiltonian for a spherical domain in the ground state of a nonrelativistic free-fermion gas in arbitrary dimensions. Decomposed into a set of radial entanglement Hamiltonians, we show that the entanglement spectrum in each sector is identical to that of a hopping chain in a linear potential, with the angular momentum playing the role of the subsystem boundary. Furthermore, the eigenfunctions follow from a commuting differential operator that has exactly the form predicted by conformal field theory. Rescaled by the radial Fermi velocity, this operator gives a perfect approximation of the entanglement Hamiltonian, except for large angular momenta that belong to the edge regime in the analogous gradient chain. One thus finds that the conformal field theory result becomes asymptotically exact only in one dimension. Comment: 12 pages, 5 figures, v2: published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.16348 Zobrazit plný text záznamu View this record from Arxiv