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The quantum Rabi model (QRM) is a cornerstone in the study of light-matter interactions within cavity and circuit quantum electrodynamics (QED). It effectively captures the dynamics of a two-level system coupled to a single-mode resonator,…

We propose a scheme of stabilizing the persistent-current Rabi oscillation based on the flux qubit-resonator-atom hybrid structure. The LC resonator weakly interacts with the flux qubit and maps the persistent-current Rabi oscillation onto…

Atomic Physics · Physics 2018-05-15 Deshui Yu , Rainer Dumke

A quantum particle in a slowly-changing potential well $V(x,t)=V(x-x_0(\epsilon t))$, periodically shaken in time at a slow frequency $\epsilon$, provides an important quantum mechanical system where the adiabatic theorem fails to predict…

Quantum Physics · Physics 2017-10-25 Stefano Longhi

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

Nuclear spin systems in manganites, having separation of ferromagnetic and antiferromagnetic phases, which are manifested as two lines in the NMR spectrum, are studied. Taking into account the Ising nuclear interaction, we obtain an…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 G. A. Rusetsky , V. M. Kolesenko , U. Shymanovich

In this work,we employ a unitary transformation with a suitable parameter to convert the quantum Rabi-Stark model into a Jaynes-Cummings-like model. Subsequently, we derive the analytical energy spectra in the ultrastrong coupling regime.…

Quantum Physics · Physics 2023-08-28 Gen Li , Hao Zhu , Guo-Feng Zhang

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit-pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi…

By using worldline Monte Carlo technique, matrix product state and a variational approach \`a la Feynman, we investigate the equilibrium properties and relaxation features of the dissipative quantum Rabi model, where a two level system is…

In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in higher…

Optimization and Control · Mathematics 2019-09-06 Nicolas Augier , Ugo Boscain , Mario Sigalotti

We study the quantum Rabi model within the framework of the analytical solution developed in Phys. Rev. Lett. 107,100401 (2011). In particular, through time-dependent correlation functions, we give a quantitative criterion for classifying…

In this paper we study transitions of atoms between energy levels of several number-theory-inspired atom potentials, under the effect of time-dependent perturbations. First, we simulate in detail the case of a trap whose one-particle…

A periodic perturbation such as a laser field cannot induce transitions between two decoupled states for which the transition matrix element vanishes. We show, however, that if in addition some system parameters are varied adiabatically,…

Quantum Physics · Physics 2008-09-18 Xingxiang Zhou , Ari Mizel

The dissipative quantum Rabi model exhibits rich non-equilibrium physics, including a dissipative phase transition from the normal phase to the superradiant phase. In this work, we investigate the stability of the superradiant phase in the…

Quantum Physics · Physics 2026-02-18 Da-Wu Xiao , Chong Chen

The asymmetric quantum Rabi model (AQRM), which describes the interaction between a quantum harmonic oscillator and a biased qubit, arises naturally in circuit quantum electrodynamic circuits and devices. The existence of hidden symmetry in…

Quantum Physics · Physics 2021-09-10 Zi-Min Li , Devid Ferri , David Tilbrook , Murray T. Batchelor

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

Coherent errors constitute a significant barrier to successful large-scale quantum computation. One such error mechanism is crosstalk, which violates spatial locality or the independence of operations. We present a description of crosstalk…

Quantum Physics · Physics 2025-02-11 Jan Balewski , Adam Winick , Yilun Xu , Neel Vora , Gang Huang , David Santiago , Joseph Emerson , Irfan Siddiqi

Dissipative quantum Rabi System, a finite-component system composed of a single two-level atom interacting with an optical cavity field mode, exhibits a quantum phase transition, which can be exploited to greatly enhance the estimation…

Quantum Physics · Physics 2023-07-06 Dong Xie , Chunling Xu , An Min Wang

The anisotropic Rabi model, which was proposed recently, differs from the original Rabi model: the rotating and counter-rotating terms are governed by two different coupling constants. This feature allows us to vary the counter-rotating…

Quantum Physics · Physics 2015-03-24 Guofeng Zhang , Hanjie Zhu

We report the experimental observation of high-order sideband transitions at the single-photon level in a quantum circuit system of a flux qubit ultrastrongly coupled to a coplanar waveguide resonator. With the coupling strength reaching…

Periodic driving plays a central role in quantum control, but its application in interacting spin systems is often restricted to near-resonant conditions, where standard averaging techniques remain valid. Here we investigate how detuning…

Quantum Physics · Physics 2026-04-21 Dionisio Cendoya , Lisandro Buljubasich , Eric G. Keeler , Carlos A. Meriles
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