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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 analyze the driven resonantly coupled Jaynes-Cummings model in terms of a quasienergy approach by switching to a frame rotating with the external modulation frequency and by using the dressed atom picture. A quasienergy surface in phase…

Superconductivity · Physics 2015-05-19 V. Peano , M. Thorwart

We present exact numerical solutions of the damped-driven Jaynes--Cummings model adapted to describe absorptive optical bistability in the limit of a few atoms strongly coupled to a high-finesse resonator. We show that the simplifying…

Quantum Physics · Physics 2016-04-13 András Dombi , András Vukics , Peter Domokos

The Jaynes-Cummings Hamiltonian is at the core of cavity quantum electrodynamics, and is ubiquitous in a variety of quantum technologies. The ability to implement and control the various aspects of this Hamiltonian is thus of paramount…

Quantum Physics · Physics 2023-02-06 Aviv Karnieli , Shanhui Fan

Adopting the framework of the Jaynes-Cummings model with an external quantum field, we obtain exact analytical expressions of the normally ordered moments for any kind of cavity and driving fields. Such analytical results are expressed in…

Quantum Physics · Physics 2007-05-23 Marcelo Aparecido Marchiolli

An exact solution of the problem of two-atom one- and two-mode Jaynes-Cummings model with intensity-dependent coupling is presented. Asymptotic solutions for system state vectors are obtained in the approximation of large initial coherent…

Quantum Physics · Physics 2014-04-04 E. K. Bashkirov

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

The interaction of an ensemble of $N$ two-level atoms with a single mode electromagnetic field is described by the Tavis-Cummings model. There, the collectively enhanced light-matter coupling strength is given by $g_N = \sqrt{N} \bar{g}_1$,…

Quantum Physics · Physics 2022-02-09 Martin Blaha , Aisling Johnson , Arno Rauschenbeutel , Jürgen Volz

We propose a general formalism for analytical description of multiatomic ensembles interacting with a single mode quantized cavity field under the assumption that most atoms remain un-excited on average. By combining the obtained formalism…

Quantum Physics · Physics 2009-11-13 A. Mandilara , V. M. Akulin , M. Kolar , G. Kurizki

The Jaynes-Cummings (JC) model stands as a fully quantized, fundamental framework for exploring light-matter interactions, a timely reflection on a century of quantum theory. The time-dependent Jaynes-Cummings (TDJC) model introduces…

In this paper we study a two-photon time-dependent Jaynes-Cummings model interacting with a Kerr-like medium. We assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the…

Quantum Physics · Physics 2015-06-26 Guido Berlin , J. Aliaga

In this paper we study controllability of a $d$-level atom interacting with the electromagnetic field in a cavity. The system is modelled by an ordered graph $\Gamma$. The vertices of $\Gamma$ describe the energy levels and the edges…

Quantum Physics · Physics 2017-12-21 Thomas Hofmann , Michael Keyl

We investigate the photon statistics of light transmitted from a driven optical cavity containing one or two atoms interacting with a single mode of the cavity field. We treat arbitrary driving fields with emphasis on departure from…

Quantum Physics · Physics 2009-10-31 J. P. Clemens , P. R. Rice

We study quantum information processing by means of optimal control theory. To this end, we analyze the damped Jaynes-Cummings model, and derive optimal control protocols that minimize the heating or energy dispersion rates, and controls…

Quantum Physics · Physics 2014-07-14 Sebastian Deffner

The Jaynes-Cummings model describes the coupling between photons and a single two-level atom in a simplified representation of light-matter interactions. In circuit QED, this model is implemented by combining microwave resonators and…

Quantum Physics · Physics 2013-09-30 Sebastian Schmidt , Jens Koch

The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state.…

Quantum Physics · Physics 2012-03-22 T. Subeesh , Vivishek Sudhir , A. B. M. Ahmed , M. Venkata Satyanarayana

The Jaynes-Cummings model with degenerate atomic levels and polarization-degenerate field mode is considered. The general expression for the system evolution operator is derived. The analytical expressions for such operators in the case of…

Quantum Physics · Physics 2025-04-01 V. A. Reshetov

We study the interaction between a quantum-dot and a bi-mode micro/nano-optical cavity composed of second-order nonlinear materials. Compared with the Jaynes-Cummings (J-C) model, except for a coherent weak driving field, a strong pump…

Quantum Physics · Physics 2020-12-02 Xinyun Liang , Zhenglu Duan , Qin Guo , Shengguo Guan , Min Xie , Cunjin Liu

A quantum dot interacting with two resonant cavity modes is described by a two-mode Jaynes-Cummings model. Depending on the quantum dot energy level scheme, the interaction of a singly doped quantum dot with a cavity photon generates…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Florian Meier , David D. Awschalom

In this paper, by using the notion of negativity, we study the degree of entanglement of a two-level atom interacting with a quantized radiation field, described by the Jaynes-Cummings model (JCM). We suppose that initially the field is in…

Quantum Physics · Physics 2007-05-23 S. J. Akhtarshenas , M. Farsi
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