Approximating the two-mode two-photon Rabi model
- Creators
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Wu, David H.
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Albert, Victor V.
Abstract
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.
Additional Information
© 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.Attached Files
Accepted Version - 2012.06994.pdf
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Additional details
- Eprint ID
- 112179
- DOI
- 10.1016/j.physleta.2021.127779
- Resolver ID
- CaltechAUTHORS:20211202-191330464
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Walter Burke Institute for Theoretical Physics, Caltech
- Government of South Australia
- NSF
- National Institute of Standards and Technology (NIST)
- Created
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2021-12-02Created from EPrint's datestamp field
- Updated
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2021-12-02Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics