Floquet-engineered system-reservoir interaction in the transverse field Ising model

Periodically driving a quantum many-body system can drastically change its properties, leading to exotic non-equilibrium states of matter without a static analog. In this scenario, parametric resonances and the complexity of an interacting many-body system are pivotal in establishing non-equilibrium states. We report on a Floquet-engineered transverse field Ising model for the controlled propagation in one dimension of spin waves. The underlying mechanisms behind our proposal rely on high-frequency drivings using characteristic parametric resonances of the spin lattice. Many-body resonances modulating spin-spin exchange or individual spin gaps inhibit interactions between spins thus proving a mechanism for controlling spin-wave propagation and a quantum switch. Our schemes may be implemented in circuit QED with direct applications in coupling-decoupling schemes for system-reservoir interaction and routing in quantum networks.