We consider Majorana lattices with two-site interactions consisting of a general function of the fermion bilinear. The models are exactly solvable in the limit of a large number of on-site fermions. The four-site chain exhibits a quantum phase transition controlled by the hopping parameters and manifests itself in a discontinuous entanglement entropy, obtained by constraining the one-sided modular Hamiltonian. Inspired by recent work within the AdS/CFT correspondence, we identify transitions between types of von Neumann operator algebras throughout the phase diagram. We find transitions of the form $II_1łeftrightarrowIIIłeftrightarrowI_ınfty$ that reduce to $II_1łeftrightarrowI_ınfty$ in the strongly interacting limit, where they connect nonfactorized and factorized ground states. Our results provide novel realizations of such transitions in a controlled many-body model.
Beschreibung
Phys. Rev. Lett. 132, 161604 (2024) - Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras
%0 Journal Article
%1 PhysRevLett.132.161604
%A Basteiro, Pablo
%A Di Giulio, Giuseppe
%A Erdmenger, Johanna
%A Xian, Zhuo-Yu
%D 2024
%I American Physical Society
%J Phys. Rev. Lett.
%K a
%N 16
%P 161604
%R 10.1103/PhysRevLett.132.161604
%T Entanglement in interacting Majorana chains and transitions of von Neumann algebras
%U https://link.aps.org/doi/10.1103/PhysRevLett.132.161604
%V 132
%X We consider Majorana lattices with two-site interactions consisting of a general function of the fermion bilinear. The models are exactly solvable in the limit of a large number of on-site fermions. The four-site chain exhibits a quantum phase transition controlled by the hopping parameters and manifests itself in a discontinuous entanglement entropy, obtained by constraining the one-sided modular Hamiltonian. Inspired by recent work within the AdS/CFT correspondence, we identify transitions between types of von Neumann operator algebras throughout the phase diagram. We find transitions of the form $II_1łeftrightarrowIIIłeftrightarrowI_ınfty$ that reduce to $II_1łeftrightarrowI_ınfty$ in the strongly interacting limit, where they connect nonfactorized and factorized ground states. Our results provide novel realizations of such transitions in a controlled many-body model.
@article{PhysRevLett.132.161604,
abstract = {We consider Majorana lattices with two-site interactions consisting of a general function of the fermion bilinear. The models are exactly solvable in the limit of a large number of on-site fermions. The four-site chain exhibits a quantum phase transition controlled by the hopping parameters and manifests itself in a discontinuous entanglement entropy, obtained by constraining the one-sided modular Hamiltonian. Inspired by recent work within the AdS/CFT correspondence, we identify transitions between types of von Neumann operator algebras throughout the phase diagram. We find transitions of the form ${\mathrm{II}}_{1}\ensuremath{\leftrightarrow}\mathrm{III}\ensuremath{\leftrightarrow}{\mathrm{I}}_{\ensuremath{\infty}}$ that reduce to ${\mathrm{II}}_{1}\ensuremath{\leftrightarrow}{\mathrm{I}}_{\ensuremath{\infty}}$ in the strongly interacting limit, where they connect nonfactorized and factorized ground states. Our results provide novel realizations of such transitions in a controlled many-body model.},
added-at = {2024-04-18T10:52:33.000+0200},
author = {Basteiro, Pablo and Di Giulio, Giuseppe and Erdmenger, Johanna and Xian, Zhuo-Yu},
biburl = {https://www.bibsonomy.org/bibtex/2403eab8dcdfc23504869662de3c9dd01/ctqmat},
day = 16,
description = {Phys. Rev. Lett. 132, 161604 (2024) - Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras},
doi = {10.1103/PhysRevLett.132.161604},
interhash = {2f790fcce4896bb50fcb6ff046853a01},
intrahash = {403eab8dcdfc23504869662de3c9dd01},
journal = {Phys. Rev. Lett.},
keywords = {a},
month = {04},
number = 16,
numpages = {7},
pages = 161604,
publisher = {American Physical Society},
timestamp = {2024-04-18T10:52:33.000+0200},
title = {Entanglement in interacting Majorana chains and transitions of von Neumann algebras},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.132.161604},
volume = 132,
year = 2024
}