Engineering a Josephson junction chain for the simulation of the quantum clock model
Year: 2025
Authors: Wauters M.M., Maffi L., Burrello M.
Autors Affiliation: Univ Trento, CNR INO Pitaevskii BEC Ctr, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommar 14, I-38123 Trento, Italy; Trento Inst Fundamental Phys & Applicat, INFN TIFPA, Via Sommar 14, I-38123 Trento, Italy; Univ Copenhagen, Niels Bohr Int Acad, Univ Pk 5, DK-2100 Copenhagen, Denmark; Univ Copenhagen, Niels Bohr Inst, Ctr Quantum Devices, Univ Pk 5, DK-2100 Copenhagen, Denmark; Univ Padua, Dipartimento Fis & Astron G Galilei, Via Marzolo 8, I-35131 Padua, Italy; INFN, Sez Padova, I-35131 Padua, Italy; Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy.
Abstract: The continuous improvement of fabrication techniques and high-quality semiconductor-superconductor interfaces allows for an unprecedented tunability of Josephson junction arrays (JJA), making them a promising candidate for analog quantum simulations of many-body phenomena. While most experimental proposals so far focused on quantum simulations of ensembles of two-level systems, the possibility of tuning the currentphase relation beyond the sinusoidal regime paves the way for studying statistical physics models with larger local Hilbert spaces. Here, we investigate a particular JJA architecture that can be mapped into a Z3 clock model. Through matrix-product-states simulations and bosonization analysis, we show that few experimentally accessible control parameters allow for the exploration of the rich phase diagrams of the associated low-energy field theories. Our results expand the horizon for analog quantum simulations with JJAs towards models that can not be efficiently captured with qubit architectures.
Journal/Review: PHYSICAL REVIEW B
Volume: 111 (4) Pages from: 45418-1 to: 45418-18
More Information: We thank E. Cobanera, L. Banszerus, G. Ortiz, M. Rizzi, N. Tausendpfund, and S. Vaitiekenas for useful discussions. M.W. has received funding from the European Union’s Horizon Europe research and innovation programme under Grant Agreement No. 101080086 NeQST. Views and opinions ex-pressed are, however, those of the author (s) only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the granting authority can be held responsible for them. This work was supported by Q@TN, the joint laboratory between the University of Trento, FBK-Fondazione Bruno Kessler, INFN-National Institute for Nuclear Physics, and CNR-National Research Council. M.B. and L.M. have been supported by the Villum Foundation (Research Grant No. 25310) . L.M. has been supported by the research grant PARD 2023 and Progetto di Eccellenza 23-27 funded by the Department of Physics and Astronomy G. Galilei, University of Padua.KeyWords: Incommensurate; Localization; Transitions; Criticality; Dynamics; PhaseDOI: 10.1103/PhysRevB.111.045418
