2020/12/31 by Jan Behrends, Benjámin Béri, Benjamin Béri
Physics and Astronomy · #Advanced Condensed Matter Physics #Dirac fermion #Fermion #Floquet theory #MAJORANA #Majorana equation #Majorana fermion #Physics #Quantum #Quantum computer #Quantum many-body systems #Quantum mechanics #Quantum simulator #Syk #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.128.106805
published as Phys. Rev. Lett. 128, 106805 (2022) · 7 pages, 4 figures; v2: accepted manuscript
arxiv created 2022/02/28 · openalex publication_date 2022/03/11 · arxiv updated 2022/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. Our circuits can be built using local ingredients in Majorana devices, namely charging-mediated interactions and braiding Majorana zero modes. This offers an analog-digital route to SYK quantum simulations that reconciles all-to-all interactions with the topological protection of Majorana zero modes, a key feature missing in existing proposals for analog SYK simulation. We also describe how dynamical, including out-of-time-ordered, correlation functions can be measured in such analog-digital implementations by employing foreseen capabilities in Majorana devices.