Approximating the two-mode two-photon Rabi model
Wu, David H. and Albert, Victor V. (2022) Approximating the two-mode two-photon Rabi model. Physics Letters A, 422 . Art. No. 127779. ISSN 0375-9601. doi:10.1016/j.physleta.2021.127779. https://resolver.caltech.edu/CaltechAUTHORS:20211202-191330464
The Rabi model describes the simplest nontrivial interaction between a few-level system and a bosonic mode, featuring in multiple seemingly unrelated systems of importance to quantum science and technology. While exact expressions for the energies of this model and its few-mode extensions have been obtained, they involve roots of transcendental functions and are thus cumbersome and unintuitive. Utilizing the symmetric generalized rotating wave approximation (S-GRWA), we develop a family of approximations to the energies of the two-mode two-photon Rabi model. The simplest elements of the family are analytically tractable, providing better approximations in regimes of interest than the RWA such as in the ultra- and deep-strong coupling regimes of the system. Higher-order approximate energies can be used if more accuracy is required.
https://doi.org/10.1016/j.physleta.2021.127779 DOI Article
Wu, David H. 0000-0003-4587-0280
Albert, Victor V. 0000-0002-0335-9508
© 2021 Elsevier. Received 15 June 2021, Revised 15 October 2021, Accepted 18 October 2021, Available online 25 October 2021. D.H.W. is supported by the Caltech and Dr. Jane Chen SURF fellowship, Caltech Student-Faculty Programs. We gratefully acknowledge support from the Walter Burke Institute for Theoretical Physics at Caltech. The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center. Contributions to this work by NIST, an agency of the US government, are not subject to US copyright. Any mention of commercial products does not indicate endorsement by NIST. CRediT authorship contribution statement. David H. Wu: Investigation, Software, Writing – original draft. Victor V. Albert: Conceptualization, Supervision. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Caltech Summer Undergraduate Research Fellowship (SURF) UNSPECIFIED
Walter Burke Institute for Theoretical Physics, Caltech UNSPECIFIED
Government of South Australia UNSPECIFIED
National Institute of Standards and Technology (NIST) UNSPECIFIED
Rabi Hamiltonian; Two bosonic modes; Two-level systems; Rotating wave approximation; Approximate spectrum
10.1016/j.physleta.2021.127779
David H. Wu, Victor V. Albert, Approximating the two-mode two-photon Rabi model, Physics Letters A, Volume 422, 2022, 127779, ISSN 0375-9601, https://doi.org/10.1016/j.physleta.2021.127779.
George Porter