Dynamics of a superconducting qubit coupled to the quantized cavity field: a unitary transformation approach

TL;DR

This paper introduces a new method using unitary transformations and RWA to analyze superconducting qubit-cavity dynamics, enabling simplified models like Jaynes-Cummings Hamiltonian and revealing phenomena such as super-revivals.

Contribution

The paper presents a novel approach to linearize the Hamiltonian of a superconducting qubit in a cavity, facilitating analysis of its dynamics and phenomena like super-revivals.

Findings

Successful linearization of the Hamiltonian

Derivation of Jaynes-Cummings type Hamiltonian under certain conditions

Observation of super-revivals in qubit inversion

Abstract

We present a novel approach for studying the dynamics of a superconducting qubit in a cavity. We succeed in linearizing the Hamiltonian through the application of an appropriate unitary transformation followed by a rotating wave approximation (RWA). For certain values of the parameters involved, we show that it is possible to obtain a a Jaynes-Cummings type Hamiltonian. As an example, we show the existence of super-revivals for the qubit inversion.