Autonomous Stabilization of Floquet States Using Static Dissipation

Floquet engineering, in which the properties of a quantum system are modified through the application of strong periodic drives, is an indispensable tool in quantum systems. However, it is inevitably limited by intrinsic heating processes. In this talk, we describe a simple autonomous scheme, which exploits a static coupling between the driven system and a lossy auxiliary, to cool Floquet systems into desired states.[1] We present an experimental realization of this effect for a transmon under a slowly-rotating synthetic magnetic field [2]. An on-chip microwave cavity acts as the lossy auxiliary that preferentially dissipates one of the quasienergy states of the effective spin 1/2 system and stabilizes the other quasienergy state indefinitely.

[1] M. Ritter, D. M. Long, Q. Yue, A. Chandran, and A. J. Kollár, “Autonomous Stabilization of Floquet States Using Static Dissipation,” arXiv:2410.12908 [quant-ph]

[2] M. Ritter, D. M. Long, Q. Yue, M. Amouzegar, A. Chandran, and A. J. Kollár, “A strong-driving synthetic magnetic field toolkit for topological Floquet models with superconducting circuits,” In preparation.