Cavity-based reservoir engineering for Floquet-engineered superconducting circuits

TL;DR

This paper demonstrates how combining Floquet and reservoir engineering in superconducting circuits enables controlled preparation of target quantum states, even amidst complex driving and dissipation processes.

Contribution

It introduces a method to merge Floquet and reservoir engineering in superconducting circuits, allowing for effective preparation of Floquet states via an extended Floquet space approach.

Findings

Reservoir engineering can be combined with Floquet engineering in superconducting circuits.

An effective time-independent master equation accurately describes the system.

Successful preparation of the ground state in interacting boson systems with Floquet-engineered magnetic fields.

Abstract

Considering the example of superconducting circuits, we show how Floquet engineering can be combined with reservoir engineering for the controlled preparation of target states. Floquet engineering refers to the control of a quantum system by means of time-periodic forcing, typically in the high-frequency regime, so that the system is governed effectively by a time-independent Floquet Hamiltonian with novel interesting properties. Reservoir engineering, on the other hand, can be achieved in superconducting circuits by coupling a system of artificial atoms (or qubits) dispersively to pumped leaky cavities, so that the induced dissipation guides the system into a desired target state. It is not obvious that the two approaches can be combined, since reaching the dispersive regime, in which system and cavities exchange excitations only virtually, can be spoiled by driving-induced resonant transitions. However, working in the extended Floquet space and treating both system-cavity coupling as well as driving-induced excitation processes on the same footing perturbatively, we identify regimes, where reservoir engineering of targeted Floquet states is possible and accurately described by an effective time-independent master equation. We successfully benchmark our approach for the preparation of the ground state in a system of interacting bosons subjected to Floquet engineered magnetic fields in different lattice geometries.