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Analytical solutions by squeezing to the anisotropic Rabi model in the nonperturbative deep-strong-coupling regime

2017/08/15 by Yuyu Zhang, Yu-Yu Zhang, Xiang-You Chen · 31 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Anisotropy #Condensed matter physics #Coupling (piping) #Coupling strength #Engineering #Hamiltonian (control theory) #Mathematics #Momentum (technical analysis) #Physics #Physics of Superconductivity and Magnetism #Population #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Qubit #quant-ph

paper · pdf · doi:10.1103/physreva.96.063821

published in Physical Review A 96(6) (American Physical Society) · 8 pages,4 figures

arxiv created 2017/08/15 · openalex publication_date 2017/12/15 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An unexplored nonperturbative deep strong coupling (npDSC) achieved in superconducting circuits has been studied in the anisotropic Rabi model by the generalized squeezing rotating-wave approximation. Energy levels are evaluated analytically from the reformulated Hamiltonian and agree well with numerical ones in a wide range of coupling strength. Such improvement ascribes to deformation effects in the displaced-squeezed state presented by the squeezed momentum variance, which are omitted in previous displaced states. The atom population dynamics confirms the validity of our approach for the npDSC strength. Our approach offers the possibility to explore interesting phenomena analytically in the npDSC regime in qubit-oscillator experiments.

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