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 II1 <-> III <-> I-infinity that reduce to II1 <-> I-infinity 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.

Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras / Basteiro, Pablo; Di Giulio, Giuseppe; Erdmenger, Johanna; Xian, Zhuo-Yu. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 132:16(2024), pp. 1-7. [10.1103/physrevlett.132.161604]

Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras

Di Giulio, Giuseppe;
2024-01-01

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 II1 <-> III <-> I-infinity that reduce to II1 <-> I-infinity 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.
2024
132
16
1
7
161604
https://doi.org/10.1103/PhysRevLett.132.161604
https://arxiv.org/abs/2401.04764
Basteiro, Pablo; Di Giulio, Giuseppe; Erdmenger, Johanna; Xian, Zhuo-Yu
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142199
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