Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit

  1. Fan Yang,
  2. Loïc Henriet,
  3. Ariane Soret,
  4. and Karyn Le Hur
We design a driven superconducting box with four spins-1/2 (qubits) such that coupled devices can give insight on the occurrence of quantum spin liquids and many-body Majorana states.
Within one box or island, we introduce a generalized nuclear magnetic resonance protocol and study numerically the dynamics in time, as well as dissipation effects on spins, to probe Majorana braiding and to detect the gauge fields. Coupling boxes allow to realize quantum spin liquid phases of Kitaev Z2 spin models in various geometries with applications in the toric code. We further present an implementation of the Sachdev-Ye-Kitaev model in coupled ladder systems.