Non-Markovian qubit dynamics in a circuit-QED setup

TL;DR

This paper presents an exact analysis of non-Markovian qubit dynamics in a circuit-QED setup, demonstrating controllable non-Markovian effects in a multi-element solid-state device, with potential for experimental validation.

Contribution

It introduces a novel circuit-QED configuration enabling controlled non-Markovian qubit dynamics and provides an exact solution for the system's dynamics.

Findings

Exact solution for non-Markovian qubit dynamics

Controlled non-Markovianity via circuit coupling

Potential for experimental observation in solid-state devices

Abstract

We consider a circuit-QED setup that allows the induction and control of non-Markovian dynamics of a qubit. Non-Markovianity is enforced over the qubit by means of its direct coupling to a bosonic mode which is controllably coupled to other qubit-mode system. We show that this configuration can be achieved in a circuit-QED setup consisting of two initially independent superconducting circuits, each formed by one charge qubit and one transmission-line resonator, which are put in interaction by coupling the resonators to a current-biased Josephson junction. We solve this problem exactly and then proceed with a thorough investigation of the emergent non-Markovianity in the dynamics of the qubits. Our study might serve the context for a first experimental assessment of non-Markovianity in a multi-element solid-state device.