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We propose a quantum simulation of the quantum Rabi model in an atomic quantum dot, which is a single atom in a tight optical trap coupled to the quasiparticle modes of a superfluid Bose-Einstein condensate. This widely tunable setup allows…

Quantum Physics · Physics 2017-09-26 S. Felicetti , G. Romero , E. Solano , C. Sabín

The controlled manipulation of quantum systems is becoming an important technological tool. Rabi oscillations are one of the simplest, yet quite useful mechanisms for achieving such manipulation. However, the validity of simple Rabi theory…

Quantum Physics · Physics 2025-05-13 Duje Bonacci

The dispersive regime of circuit QED is the main workhorse for todays quantum computing prototypes based on superconducting qubits. Analytic descriptions of this model typically rely on the rotating wave approximation of the interaction…

Quantum Physics · Physics 2020-07-15 Clemens Müller

We analyze a system composed of a superconducting flux qubit coupled to a transmission-line resonator driven by two signals with frequencies close to the resonator's harmonics. The first strong signal is used for exciting the system to a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Ya. S. Greenberg , E. Il'ichev , G. Oelsner , S. N. Shevchenko

In a recent Comment (arXiv:1510.00768) it was claimed that Braak's solution of the quantum Rabi model does not include the set of non-degenerate exceptional points and is thus not a complete solution. Braak's solution does contain these…

Quantum Physics · Physics 2015-10-20 Murray T. Batchelor , Zi-Min Li

The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of…

This paper presents a proof of the existence of novel bound states of the two-photon quantum Rabi model at the collapse point. The two-photon Rabi model is interesting not only for its important role on non-linear light-matter interaction,…

Quantum Physics · Physics 2020-07-10 Chan Ching Kwan

We investigate a generalisation of the Rabi system in the Bargmann-Fock representation. In this representation the eigenproblem of the considered quantum model is described by a system of two linear differential equations with one…

Mathematical Physics · Physics 2015-04-23 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

The extended quantum Rabi models make a significant contribution to understand the quantum nature of the atom-light interaction. We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into…

Quantum Physics · Physics 2022-07-20 Yibo Liu , Lijun Mao , Yunbo Zhang

The physics of quantum states beyond thermodynamic equilibrium represents a fascinating and cutting-edge research. Using numerical state-of-the-art approaches, we observe dynamical quantum phase transitions in the dissipative two-qubit Rabi…

Quantum Physics · Physics 2025-09-08 G. Di Bello , A. Ponticelli , F. Pavan , V. Cataudella , G. De Filippis , A. de Candia , C. A. Perroni

The temperature sensitivity of a probe in equilibrium can be gauged by its thermal quantum Fisher information (QFI). It is known that probes exhibiting degeneracy in their energy-level structure can achieve larger sensitivities, while…

Quantum Physics · Physics 2026-02-16 Tabitha Doicin , Luis A. Correa , Jonas Glatthard , Andrew D. Armour , Gerardo Adesso

We have analyzed the interaction of a dissipative two level quantum system with high and low frequency excitation. The system is continuously and simultaneously irradiated by these two waves. If the frequency of the first signal is close to…

Quantum Physics · Physics 2007-05-23 Ya. S. Greenberg , E. Il'ichev

The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$. It is shown here that the spectrum of the Rabi model coincides with the…

Quantum Physics · Physics 2013-12-03 Alexander Moroz

We consider the transition from discrete to continuous spectrum which occurs in some quantum Rabi models. The subordinacy theory is used to detect and locate the essential spectrum of the intensity-dependent Rabi model, the anisotropic…

Mathematical Physics · Physics 2026-03-11 Grzegorz Świderski , Lech Zieliński

The Jaynes-Cummings and quantum Rabi models are fundamental to cavity and circuit quantum electrodynamics, as they describe the simplest form of light-matter interaction, where a single qubit is coupled to a single bosonic mode. A scenario…

Quantum Physics · Physics 2025-06-11 Antti Vaaranta , Marco Cattaneo , Paolo Muratore-Ginanneschi

The two-photon quantum Rabi model with quadratic coupling is studied using extended squeezed states and we derive $G$-functions for Bargmann index $q=1/4$ and $3/4$. The simple singularity structure of the $G$-function allows to draw…

Quantum Physics · Physics 2016-10-27 Liwei Duan , You-Fei Xie , Daniel Braak , Qing-Hu Chen

We consider a generalized Rabi model formed by two identical qubits interacting with a common oscillator mode. In the near resonance configuration where the oscillator frequency is close to the transition frequency of the qubit, we…

Quantum Physics · Physics 2013-08-09 Kelvin M. C. Lee , C. K. Law

We study the ground states of the single- and two-qubit asymmetric Rabi models, in which the qubit-oscillator coupling strengths for the counterrotating-wave and corotating-wave interactions are unequal. We take the transformation method to…

Quantum Physics · Physics 2014-09-23 Li-Tuo Shen , Zhen-Biao Yang , Mei Lu , Rong-Xin Chen , Huai-Zhi Wu

We study the two-qubit asymmetric quantum Rabi model (AQRM) and find its dark-state solution. Such solutions have at most one photon and constant eigenenergy in the whole coupling regime, causing level crossings in the spectrum, although…

Quantum Physics · Physics 2024-06-11 Ze-Feng Lei , Junlong Tian , Jie Peng

Quantum coherence and quantum correlations are studied in the strongly interacting system composed of two qubits and an oscillator with the presence of a parametric medium. To analytically solve the system, we employ the adiabatic…

Quantum Physics · Physics 2021-12-14 V. Yogesh , Prosenjit Maity
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