Logarithmic, fractal and volume-law entanglement in a Kitaev chain with long-range hopping and pairing
Year: 2023
Authors: Solfanelli A., Ruffo S., Succi S., Defenu N.
Autors Affiliation: Scuola Int Superiore Studi Avanzati SISSA, Via Bonomea 265, I-34136 Trieste, Italy; Sez Trieste, INFN, Via Valerio 2, I-34127 Trieste, Italy; Italian Inst Technol, Ctr Life Nanoneurosci, Viale Regina Elena 291, I-00161 Rome, Italy; Ist Sistemi Complessi, Via Madonna Del Piano 10, I-50019 Sesto Fiorentino, Italy; Harvard Univ, Phys Dept, Oxford St 17, Cambridge, MA USA; Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang-Pauli-Str 27, Zurich, Switzerland.
Abstract: Thanks to their prominent collective character, long-range interactions promote information spreading and generate forms of entanglement scaling, which cannot be observed in traditional systems with local interactions. In this work, we study the asymptotic behavior of the entanglement entropy for Kitaev chains with long-range hopping and pairing couplings decaying with a power law of the distance. We provide a fully-fledged analytical and numerical characterization of the asymptotic growth of the ground state entanglement in the large subsystem size limit, finding that the truly non-local nature of the model leads to an extremely rich phenomenology. Most significantly, in the strong long-range regime, we discovered that the system ground state may have a logarithmic, fractal, or volume-law entanglement scaling, depending on the value of the chemical potential and on the strength of the power law decay.
Journal/Review: JOURNAL OF HIGH ENERGY PHYSICS
Volume: (5) Pages from: 66-1 to: 66-35
More Information: We acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC2181/1-390900948 (the Heidelberg STRUCTURES Excellence Cluster). This work is part of the MIUR-PRIN2017 project Coarse-grained description for nonequilibrium systems and transport phenomena (CO-NEST) No. 201798CZL. AS and SS acknowledge financial support from National Centre for HPC, Big Data and Quantum Computing (CN00000013). Access to the IBM Quantum Computers was obtained through the IBM Quantum Hub at CERN.KeyWords: Lattice Integrable Models; Phase Transitions; Other Lattice Field TheoriesDOI: 10.1007/JHEP05(2023)066Citations: 6data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)