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Introduction to Quantum Electromagnetic Circuits
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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 3 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 non-linear 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.
Forward citations
Cited by 2 Pith papers
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Quantum Brownian Motion: proving that the Schmid transition belongs to the Berezinskii-Kosterlitz-Thouless universality class
World-line Monte Carlo simulations show the Schmid localization-delocalization transition in a dissipative periodic quantum system is in the BKT universality class, with logarithmic correlation decay at criticality.
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On the Classical Limit of Quantum Mechanics
Macroscopicity for the quantum-classical transition is set by independent degrees of freedom rather than particle count, explaining why QM persists in large-N systems with few active modes.
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