Nonequilibrium situations are ubiquitous in our daily lives. A vivid example is children playing on the swing at parks. In quantum physics, we encounter analog situations where the complexity of particle interactions leads to the concept of Emergence. Considering the state-of-the-art quantum simulators, we are devoted to discovering novel nonequilibrium states without static analog, particularly focusing on Floquet systems. Click here to learn some contributions to this field.
Quantum simulators are controllable devices designed to replicate the non-equilibrium dynamics of complex quantum systems. Digital, analog, and hybrid digital-analog quantum simulators bridge the gap between classical computation and fault-tolerant quantum computers. These simulators include Rydberg atom arrays, trapped ions, ultracold neutral atoms, and superconducting circuits. This research focuses on superconducting quantum simulators to explore and propose novel nonequilibrium states in quantum lattice systems. Specifically, we investigate the physical implementations of the transverse field Ising model, the Bose-Hubbard model, and the Jaynes-Cummings-Hubbard model under periodic modulations of the system´s Hamiltonian.