Boosting the Quantum State of a Cavity with Floquet Driving

Abstract

The striking nonlinear effects exhibited by cavity QED systems make them a powerful tool in modern condensed matter and atomic physics. A recently discovered example is the quantized pumping of energy into a cavity by a strongly-coupled, periodically-driven spin. We uncover a remarkable feature of these energy pumps: they coherently translate, or boost, a quantum state of the cavity in the Fock basis. Current optical cavity and circuit QED experiments can realize the required Hamiltonian in a rotating frame. Boosting thus enables the preparation of highly-excited non-classical cavity states in near-term experiments.

6 pages, 4 figures + 6 pages, 6 figures; (v2) Clarifications on experimental considerations, including an additional appendix on the lab frame evolution