Robust multipartite entanglement in dirty topological wires

Year: 2026

Authors: Pezzè L., Lepori L.

Autors Affiliation: CNR, INO, Ist Nazl Ott, Largo Enrico Fermi 6, I-50125 Florence, Italy; European Lab Nonlinear Spect LENS, Via N Carrara 1, I-50019 Sesto Fiorentino, Italy; Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci 53-A, I-43124 Parma, Italy; INFN, Grp Collegato Parma, Parco Area Sci 7-A, I-43124 Parma, Italy.

Abstract: Identifying and characterizing quantum phases in the presence of long-range correlations and/or spatial disorder is, generally, a challenging and relevant task. Here, we study a generalization of the Kitaev chain with variable-range pairing and different forms of site-dependence of the chemical potantial, addressing commensurate and incommensurate modulations as well as Anderson disorder. In particular, we analyze multipartite entanglement (ME) in the ground state of dirty topological wires by studying the scaling of the quantum Fisher information (QFI) with the system size. For nearest-neighbor pairing, the Heisenberg scaling of the QFI is found in one-to-one correspondence with topological phases hosting Majorana modes. For finite-range pairing, we recognize long-range phases by the superextensive scaling of the QFI and characterize complex lobe-structured phase diagrams. The present work contributes to establish QFI and ME as useful quantities to study intriguing aspects of topological systems, also with long-range pairings and interactions. More generally, our study reports the robustness of spatial multipartite entanglement against spatial inhomogeneities.

Journal/Review: PHYSICAL REVIEW B

Volume: 113 (20)      Pages from: 205112-1  to: 205112-15

More Information: We thank M. Burrello, A. Nava, and A. Smerzi for discus-sions. We acknowledge financial support from the European Union’s Horizon 2020 research and innovation program- Qombs Project, FET Flagship on Quantum Technologies Grant No. 820419. L.L. also acknowledges research funding from the PRIN Project No. 2017 20177SL7HC, financed by the Italian Ministry of education and research, and financial support by a project funded under the National Recovery and Resilience Plan (NRRP) , Mission 4 Component 2 Investment 1.3-Call for tender No. 341 of 15/03/2022 of Italian Ministry of University and Research funded by the European Union NextGenerationEU, Award No. PE0000023, Concession Decree No. 1564 of 11/10/2022 adopted by the Italian Ministry of University and Research, CUP D93C22000940001, Project title National Quantum Science and Technology Institute (NQSTI) , spoke 2.
KeyWords: Non-abelian Statistics; Anderson Localization; Quantum; Phase; Information; Electrons; Symmetry; Anyons
DOI: 10.1103/n7k4-v7yw