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We prove nonuniqueness of weak solutions to multi-dimensional generalisation of the Aw-Rascle model of vehicular traffic. Our generalisation includes the velocity offset in a form of gradient of density function, which results in a…

Analysis of PDEs · Mathematics 2022-08-05 Nilasis Chaudhuri , Eduard Feireisl , Ewelina Zatorska

In nanomechanical QED system, consisting of a charge qubit and a nonlinear nanomechanical resonator, we study the temporal behavior of Rabi oscillation in the nonlinear Jaynes-Cummings model. Using microscopic master equation approach, we…

Quantum Physics · Physics 2016-04-20 X. Xiao , M. Y. Zhao , S. M. Yu , Y. B. Gao

Recent experimental evidences point to two-level defects, located in the oxides and on the interfaces of the Josephson junctions, as the major constituents of decoherence in superconducting qubits. How these defects affect the qubit…

Quantum Physics · Physics 2024-08-23 Yanxiang Wang , Ziyang You , Hou Ian

We use a quasi Hamiltonian formalism to describe the dissipative dynamics of a circuit QED qubit that is affected by several fluctuating two level systems with a 1/f noise power spectrum. The qubit-resonator interactions are described by…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 Amrit De , Robert Joynt

Environmental influences on the dynamics of a coupled qubit-oscillator system are studied analytically. We investigate the case of a quasi-degenerate qubit within the ultra-strong coupling regime for which the qubit frequency is much…

Quantum Physics · Physics 2014-01-28 Shantanu Agarwal , Sayed M. Hashemi Rafsanjani , Joseph H. Eberly

We have numerically obtained theoretical results for the collapse and the revival of the quantum Rabi oscillations for low average number of coherent photons injected on a two-level system in a lossy resonant cavity. We have adopted the…

Quantum Physics · Physics 2022-10-11 Najirul Islam , Shyamal Biswas

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

We study analytically and numerically the properties of Jaynes-Cummings model under monochromatic driving. The analytical results allow to understand the regime of two branches of multi-photon excitation in the case of close resonance…

We consider a generalized Jaynes-Cummings model of a two-level atom interacting with a multimode nondegenerate coherent field. The sum of the mode frequencies is equal to the two-level transition frequency, creating the resonance condition.…

Quantum Physics · Physics 2014-06-24 Himadri Shekhar Dhar , Arpita Chatterjee , Rupamanjari Ghosh

We investigate two prototypical dissipative bosonic systems under slow driving and arbitrary system-bath coupling strength, recovering their dynamic evolution as well as the heat and work rates, and we verify that thermodynamic laws are…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Maicol A. Ochoa , Natalya Zymbovskaya , Abraham Nitzan

The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales, is first introduced. Practical experimental devices for…

Quantum systems driven by strong oscillating fields are the source of many interesting physical phenomena. In this work, we experimentally study the dynamics of a two-level system of a single spin driven in the strong-driving regime where…

Quantum Physics · Physics 2017-05-12 K. Rama Koteswara Rao , Dieter Suter

An alternative approach to the Jaynes-Cummings model (JCM) with dissipation at a finite enviromental temperature is presented in terms of a new master equation under Born-Markovian approximations. An analytic solution of the dissipation JCM…

Condensed Matter · Physics 2007-05-23 Le-man Kuang , Guang-hong Chen , Mo-lin Ge , Xin Chen

We use the microscopic derivation of the Jaynes-Cummings model master equation under field losses to study the dynamics of initial field states beyond the single-excitation manifold. We show that field-qubit detuning, as well as finite…

Quantum Physics · Physics 2018-02-22 C. A. González-Gutiérrez , D. Solís-Valles , B. M. Rodríguez-Lara

By using a wave packet approach, this paper reviews the Jaynes-Cummings model with and without the rotating wave approximation in a non-standard way. This gives new insight, not only of the two models themselves, but of the rotating wave…

Quantum Physics · Physics 2007-06-23 Jonas Larson

We address the consequences of backaction in the unidirectional coupling of two cascaded open quantum subsystems connected to the same reservoir at different spatial locations. In the spirit of [H. J. Carmichael, Phys. Rev. Lett. 70, 2273…

Quantum Physics · Physics 2020-05-25 Themistoklis K. Mavrogordatos , Jonas Larson

The article addresses the damped driven Jaynes-Cummings for quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which are polynomial in the creation and annihilation operators.…

Mathematical Physics · Physics 2026-03-19 A. I. Komech , E. A. Kopylova

We show how the dispersive regime of the Jaynes-Cummings model may serve as a valuable tool to the study of open quantum systems. We employ it in a bottom-up approach to build an environment that preserves qubit energy and induces varied…

Quantum Physics · Physics 2019-03-13 W. S. Teixeira , F. Nicacio , F. L. Semião

We study the stability of a vector field associated to a nearly-integrable Hamiltonian dynamical system to which a dissipation is added. Such a system is governed by two parameters, named the perturbing and dissipative parameters, and it…

Dynamical Systems · Mathematics 2012-02-14 Alessandra Celletti , Christoph Lhotka

We consider the problem of a qubit driven by a harmonically oscillating external field while it is coupled to a quantum two-level system. We perform a systematic numerical analysis of the problem by varying the relevant parameters. The…

Superconductivity · Physics 2007-05-23 S. Ashhab , J. R. Johansson , Franco Nori