Journal Article

FZJ-2025-02544

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Bounding the rotating wave approximation for coupled harmonic oscillators

Heib, T. (Corresponding author)FZJ* ; Lageyre, P.FZJ* ; Ferreri, A.FZJ* ; Wilhelm, F. K.FZJ* ; Paraoanu, G. S. ; Burgarth, D. ; Schell, A. W. ; Edward Bruschi, D.FZJ*

2025
IOP Publishing Bristol

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Please use a persistent id in citations: doi:10.1088/1751-8121/adcd16  doi:10.34734/FZJ-2025-02544

Abstract: In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction. We prove its validity for arbitrary states by bounding the error introduced. We then restrict ourselves to the dynamics of Gaussian states and are able to fully quantify the deviation of arbitrary pure Gaussian states that evolve through different dynamics from a common quantum state. We show that this distance is fully determined by the first and second moments of the statistical distribution of the number of excitations created from the vacuum during an appropriate effective time-evolution. We use these results to completely control the dynamics for this class of states, therefore providing a toolbox to be used in quantum optics and quantum information. Applications and potential physical implementations are also discussed.

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Contributing Institute(s):

1. Quantum Computing Analytics (PGI-12)

Research Program(s):

1. 5223 - Quantum-Computer Control Systems and Cryoelectronics (POF4-522) (POF4-522)
2. Verbundprojekt: German Quantum Computer based on Superconducting Qubits (GEQCOS) - Teilvorhaben: Charakterisierung, Kontrolle und Auslese (13N15685) (13N15685)
3. BMBF 13N16210 - SPINNING – Spin-Photon-basierter Quantencomputer auf Diamantbasis (BMBF-13N16210) (BMBF-13N16210)

Appears in the scientific report 2025

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; National-Konsortium ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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