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Functional-renormalization-group approach to circuit quantum electrodynamics

Takeru Yokota*

Kanta Masuki†

Yuto Ashida‡

  • Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKEN, Wako, Saitama 351-0198, Japan and Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan

  • Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan

  • Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan and Institute for Physics of Intelligence, University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan

  • *takeru.yokota@riken.jp
  • †masuki@g.ecc.u-tokyo.ac.jp
  • ‡ashida@phys.s.u-tokyo.ac.jp
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Phys. Rev. A 107, 043709 – Published 21 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.043709

Abstract

A nonperturbative approach is developed to analyze superconducting circuits coupled to quantized electromagnetic continuum within the framework of the functional renormalization group. The formalism allows us to determine complete physical pictures of equilibrium properties in the circuit quantum electrodynamics (cQED) architectures with high-impedance waveguides, which have recently become accessible in experiments. We point out that nonperturbative effects can trigger a breakdown of the supposedly effective descriptions, such as the spin-boson and boundary sine-Gordon models, and lead to qualitatively unique phase diagrams. The origin of the failure of conventional understandings is traced to strong renormalizations of circuit parameters at low-energy scales. Our results indicate that a nonperturbative analysis is essential for a comprehensive understanding of cQED platforms consisting of superconducting circuits and long high-impedance transmission lines.

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Outline

Information

Phys. Rev. A 107, 043709– Published 21 April, 2023
  • Received 31 August 2022
  • Revised 28 January 2023
  • Accepted 13 February 2023
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