Journal Article

FZJ-2023-01970

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Consistent Quantization of Nearly Singular Superconducting Circuits

Rymarz, M. (Corresponding author) ; DiVincenzo, D. P.FZJ*

2023
APS College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/34375  doi:10.1103/PhysRevX.13.021017

Abstract: The theory of circuit quantum electrodynamics has successfully analyzed superconducting circuits on the basis of the classical Lagrangian, and the corresponding quantized Hamiltonian describing these circuits. In many simplified versions of these networks, the modeling involves a singular Lagrangian that employs Kirchhoff’s laws to eliminate inherent constraints of the system. In this work, we demonstrate the failure of such singular theories for the quantization of realistic, nearly singular superconducting circuits. Instead, we rigorously prove the validity of a perturbative analysis within the Born-Oppenheimer approximation. In particular, we find that the limiting behavior of the low-energy dynamics obtained from the regularized approach exhibits a fixed-point structure flowing to one of a few universal fixed points as parasitic capacitance values go to zero. This singular limit of the regularized analysis is, in many cases, completely unlike the singular theory. Consequently, we conclude that classical network synthesis techniques which build on Kirchhoff’s laws must be critically examined prior to applying circuit quantization.

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Contributing Institute(s):

1. Theoretische Nanoelektronik (PGI-2)

Research Program(s):

1. 5224 - Quantum Networking (POF4-522) (POF4-522)
2. DFG project 390534769 - EXC 2004: Materie und Licht für Quanteninformation (ML4Q) (390534769) (390534769)

Appears in the scientific report 2023

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 10 ; JCR ; SCOPUS ; Web of Science Core Collection

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