ORIGINAL RESEARCH article

Front. Phys.

Sec. Quantum Engineering and Technology

Volume 13 - 2025 | doi: 10.3389/fphy.2025.1568407

This article is part of the Research TopicAdvancing Quantum Information Processing with High-Q Quantum CavitiesView all articles

The anisotropic quantum Rabi model with diamagnetic term

Provisionally accepted
Héctor  Manuel Moya-CessaHéctor Manuel Moya-Cessa1*Jorge  Andres Anaya-ContrerasJorge Andres Anaya-Contreras2Arturo  Zuniga-SegundoArturo Zuniga-Segundo2Iran  Ramos-PrietoIran Ramos-Prieto1
  • 1National Institute of Astrophysics, Optics and Electronics (INAOE), Tonantzintla, Mexico
  • 2National Polytechnic Institute (IPN), Mexico City, Mexico City, Mexico

The final, formatted version of the article will be published soon.

We employ a squeeze operator transformation approach to solve the anisotropic quantum Rabi model that includes a diamagnetic term. By carefully adjusting the amplitude of the diamagnetic term, we demonstrate that the anisotropic Rabi model with the $A^2$ term can be exactly reduced to either a Jaynes-Cummings or an anti-Jaynes-Cummings model without requiring any approximations.

Keywords: Rabi model, Diamagnetic term, Squeeze operator, transformations, Anti-JCM

Received: 29 Jan 2025; Accepted: 24 Apr 2025.

Copyright: © 2025 Moya-Cessa, Anaya-Contreras, Zuniga-Segundo and Ramos-Prieto. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence: Héctor Manuel Moya-Cessa, National Institute of Astrophysics, Optics and Electronics (INAOE), Tonantzintla, Mexico

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