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The problem of Rabi oscillations in a qubit coupled to a fluctuator and in contact with a heath bath is considered. A scheme is developed for taking into account both phase and energy relaxation in a phenomenological way, while taking full…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. M. Galperin , D. V. Shantsev , J. Bergli , B. L. Altshuler

A tractable N-state Rabi Hamiltonian is introduced by extending the parity symmetry of the two-state model. The single-mode case provides a few-parameter description of a novel class of periodic systems, predicting that the ground state of…

Mesoscale and Nanoscale Physics · Physics 2012-05-03 Victor V. Albert

We consider a slightly subcritical Dirichlet problem with a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact embeddings cannot be used to guarantee the existence of solutions as in the case of power-type…

Analysis of PDEs · Mathematics 2020-06-30 Monica Clapp , Rosa Pardo , Angela Pistoia , Alberto Saldaña

Per the fluctuation-dissipation theorem, the information obtained from spin fluctuation studies in thermal equilibrium is necessarily constrained by the system's linear response functions. However, by including weak radiofrequency magnetic…

Atomic Physics · Physics 2015-06-22 P. Glasenapp , Luyi Yang , D. Roy , D. G. Rickel , A. Greilich , M. Bayer , N. A. Sinitsyn , S. A. Crooker

Polarization ellipticity $\beta$ and the relative angle $\Delta$ between electron momentum and driving field act as independent control parameters for coherent dynamics in periodically driven Dirac systems. In this work, we analyze the…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 V. G. Ibarra-Sierra , J. L. Cardoso , C. Flores-Valente , A. Kunold , J. C. Sandoval-Santana

We propose a novel physical mechanism for creation of long lived macroscopic exciton-photon qubits in semiconductor microcavities with embedded quantum wells in the strong couping regime. We argue that the coherence time of Rabi…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 S. S. Demirchyan , I. Yu. Chestnov , A. P. Alodjants , M. M. Glazov , A. V. Kavokin

We compare the semiclassical and quantum predictions for the unitary dynamics of a two-level atom interacting with a single-mode electromagnetic field in the presence of parametric modulation of the atomic parameters, in the regime of…

Quantum Physics · Physics 2025-09-17 M V S de Paula , M A Damasceno Faustino , A V Dodonov

We analyze the dynamics of a superconducting qubit and the phenomenon of multiorder Rabi oscillations in the presence of a time-modulated external field. Such a field is also presented as a bichromatic field consisting of two spectral…

Quantum Physics · Physics 2013-10-04 Gor A. Abovyan , Gagik Yu. Kryuchkyan

We present the theory of interaction between a polar vibration in a semiconductor and an electromagnetic mode of a surrounding cavity. Tuning the cavity frequency near the transverse optical phonon frequency couples the phonon-induced…

Materials Science · Physics 2007-05-23 Hadley M. Lawler , Jason N. Byrd , Gavin K. Brennen

We study numerically the onset of higher-level excitations and resonance frequency shifts in the generalized multilevel Rabi model with dispersive coupling under strong driving. The response to a weak probe is calculated using the Floquet…

Mesoscale and Nanoscale Physics · Physics 2018-06-14 I. Pietikäinen , S. Danilin , K. S. Kumar , J. Tuorila , G. S. Paraoanu

The scientific interest in the analytical solution of the quantum Rabi model is due to the widespread use of this simple model in quantum optics, quantum computing, cavity QED, and nanoelectromechanical systems. This interest is related to…

Quantum Physics · Physics 2023-02-14 Andrei Ivanov

The Rabi model, a two-level atom coupled to a harmonic oscillator, can undergo a second-order quantum phase transition (QPT) [M. -J. Hwang et al, Phys. Rev. Lett. 115, 180404 (2015)]. Here we show that the Rabi QPT accompanies critical…

Quantum Physics · Physics 2016-08-24 Ricardo Puebla , Myung-Joong Hwang , Martin B. Plenio

We revisit the theoretical description of the ultrastrong light-matter interaction in terms of exactly solvable effective Hamiltonians. A perturbative approach based on polaronic and spin-dependent squeezing transformations provides an…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 P. Gartner , V. Moldoveanu

It is established existence and multiplicity of solution for the following class of quasilinear elliptic problems $$ \left\{ \begin{array}{lr} -\Delta_\Phi u = \lambda a(x) |u|^{q-2}u + |u|^{p-2}u, & x\in\Omega, u = 0, & x \in \partial…

Analysis of PDEs · Mathematics 2024-10-02 Edcarlos D. Silva , Marcos L. M. Carvalho , Leszek Gasinski , João R. Santos Júnior

We study the spectrum of the generalized Rabi model in which co- and counter-rotating terms have different coupling strengths. It is also equivalent to the model of a two-dimensional electron gas in a magnetic field with Rashba and…

Quantum Physics · Physics 2015-01-07 Michael Tomka , Omar El Araby , Mikhail Pletyukhov , Vladimir Gritsev

We investigate rectified currents in response to oscillating electric fields in systems lacking inversion and time-reversal symmetries. These currents, in second-order perturbation theory, are inversely proportional to the relaxation rate,…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Oles Matsyshyn , Francesco Piazza , Roderich Moessner , Inti Sodemann

Rabi oscillations may be viewed as an interference phenomenon due to a coherent superposition of different quantum paths, like in the Young's two-slit experiment. The inclusion of the atomic external variables causes a non dissipative…

Quantum Physics · Physics 2007-05-23 M. Tumminello , A. Vaglica , G. Vetri

It is shown that in the Rabi model, for an integer value of the spectral parameter $x$, in addition to the finite number of the classical Judd states there exist infinitely many possible eigenstates. These eigenstates exist if the…

Mathematical Physics · Physics 2013-11-19 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

A simple way to calculate Rabi frequencies is outlined for interactions of atomic or nuclear multipole moments with laser fields that focuses on their relative geometry. The resulting expression takes the form of a dot product between the…

Quantum Physics · Physics 2025-11-06 Wesley C. Campbell

We analyze a prototypical particle-in-a-box model for a hole spin qubit. This quantum dot is subjected to static magnetic and electric fields, and to a radio-frequency electric field that drives Rabi oscillations owing to spin-orbit…

Quantum Physics · Physics 2019-04-02 Benjamin Venitucci , Yann-Michel Niquet