Abstract
We introduce the vacuum Maxwell equations and use them to describe electromagnetic fields trapped in a cavity. Boundary conditions for the cavity are shown to lead to standing wave solutions which we quantize to construct cavity QED, a quantum theory for those fields. We insert a rotor into the cavity and are led to a quantum description of a rotor(atom) qubit coupled to a quantized electromagnetic field. We derive the Jaynes-Cummings Hamiltonian and find its approximate eigenvalues and eigenvectors in the strong atom-radiation coupling regime. We show how artificial atoms, composed of superconducting Josephson junctions, interact with microwave line-resonator photons, thus allowing a circuit analog of cavity QED. We discuss how the latter is described with electrical circuit terminology.
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Zygelman, B. (2018). Quantum Hardware II: cQED and cirQED. In: A First Introduction to Quantum Computing and Information. Springer, Cham. https://doi.org/10.1007/978-3-319-91629-3_8
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DOI: https://doi.org/10.1007/978-3-319-91629-3_8
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