%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 }