Introduction to quantum electromagnetic circuits

By Uri Vool, Michel H. Devoret. International journal of circuit theory and applications, 2016

336 citations recorded by the source corpus.

The article is a short opinionated review of the quantum treatment of electromagnetic circuits, with no pretension to exhaustiveness. This review, which is an updated and modernized version of a previous set of Les Houches School lecture notes, has three main parts. The first part describes how to construct a Hamiltonian for a general circuit, which can include dissipative elements. The second part describes the quantization of the circuit, with an emphasis on the quantum treatment of dissipation. The final part focuses on the Josephson nonlinear element and the main linear building blocks from which superconducting circuits are assembled. It also includes a brief review of the main types of superconducting artificial atoms, elementary multi‐level quantum systems made from basic circuit elements. Copyright © 2017 John Wiley & Sons, Ltd.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/cd5c8f07b7cce03630b014fb59ff7b08e786cab3

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Citations in the corpus

Quantum information processing and quantum optics with circuit quantum electrodynamics (2020, background): “It is worth noting that while the average voltage across the LC circuit van-ishes in the vacuum state, its root-mean-square value is non-zero: ¼ 12 ).”
Circuit quantum electrodynamics (2020, background): “…to current, I, from charge conservation by Q(t) = ∫ t t0 dt′ I(t′), and flux to voltage from Faraday’s induction law by Φ(t) = ∫ t t0 dt′ V (t′), where we have assumed that the voltage and current are zero at an initial time t0, often taken to be in the distant past (Vool and Devoret, 2017).”
Breakdown of gauge invariance in ultrastrong-coupling cavity QED (2018, methodology): “Following the standard quantization procedure [89], we introduce a set of generalized flux variables,”
Widely Tunable On-Chip Microwave Circulator for Superconducting Quantum Circuits (2017, background): “Detailed reviews on this subject may be found elsewhere [56, 57].”