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We present a semi-analytical framework for studying interactions between quantum emitters and general electromagnetic resonators. The method relies on the Lippmann-Schwinger equation to calculate the complex resonance frequencies of the…

Classical coupled harmonic oscillator models are capable of describing the optical and infrared response of nanophotonic systems where a cavity photon couples to dipolar matter excitations. The distinct forms of coupling adopted in these…

Quantum Physics · Physics 2025-02-20 Unai Muniain , Javier Aizpurua , Rainer Hillenbrand , Luis Martín-Moreno , Ruben Esteban

In this paper, we generalize the ordinary two-photon Jaynes-Cummings model (TPJCM) by considering the atom (or ion) to be trapped in a simple harmonic well. A typical setup would be an optical cavity containing a single ion in a Paul trap.…

Quantum Physics · Physics 2009-11-13 F. L. Semião , A. Vidiella-Barranco

The original Jaynes-Cummings model is described by a Hamiltonian which is exactly solvable. Here we extend this model by several types of interactions leading to a nonhermitian operator which doesn't satisfy the physical condition of…

Quantum Physics · Physics 2009-11-11 Y. Brihaye , A. Nininahazwe

Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 S. N. Shevchenko , A. N. Omelyanchouk , E. Il'ichev

The possibility of exploiting heterogeneous quantum systems to high precision, for storing, processing, and transmitting information makes them ideal candidates for multi-tasking purposes in quantum communication. Appropriate quantum…

Quantum Physics · Physics 2023-08-04 Pradip Laha

The multiphoton Jaynes-Cummings model is investigated and applications in quantum information science are explored. Considering the strong atom-field coupling regime and an $N$-photon interaction, a nonlinear driving field can perform an…

Quantum Physics · Physics 2019-04-01 Celso J. Villas-Boas , Daniel Z. Rossatto

We introduce a dynamical system that instead of exchanging a single photon as in the atomic system of the usual Jaynes-Cummings model (JCM), it exchanges instead a squeezed coherent photon. Accordingly, the creation and annihilation photon…

Quantum Physics · Physics 2022-12-26 Moorad Alexanian

The Jaynes-Cummings model, with and without the rotating wave approximation, is expressed in the conjugate variable representation and solved numerically by wave packet propagation. Both cases are then cast into systems of two coupled…

Quantum Physics · Physics 2015-05-13 Jonas Larson

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

We study the dynamics of the 2+1 Dirac oscillator exactly and find spin oscillations due to a {\it Zitterbewegung} of purely relativistic origin. We find an exact mapping of this quantum-relativistic system onto a Jaynes-Cummings model,…

Quantum Physics · Physics 2009-11-13 A. Bermudez , M. A. Martin-Delgado , E. Solano

We study the properties of a driven cavity coupled to several qubits in the framework of a dissipative Jaynes-Cummings model. We show that the rotating wave approximation (RWA) allows to reduce the description of original driven model to an…

Quantum Physics · Physics 2024-05-14 A. D. Chepelianskii , D. L. Shepelyansky

Other than scattering problems where perturbation theory is applicable, there are basically two ways to solve problems in physics. One is to reduce the problem to harmonic oscillators, and the other is to formulate the problem in terms of…

Quantum Physics · Physics 2009-11-11 Y. S. Kim , Marilyn E. Noz

Many molecular, quantum-dot, and optomechanical nanocavity-QED systems demonstrate strong nonlinear interactions between electrons, photons, and phonon (vibrational) modes. We show that such systems can be described by a universal model in…

Quantum Physics · Physics 2022-05-25 Mikhail Tokman , Maria Erukhimova , Qianfan Chen , Alexey Belyanin

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 work, we present a multiple-scale perturbation technique suitable for the study of open quantum systems, which is easy to implement and in few iterative steps allows us to find excellent approximate solutions. For any time-local…

Quantum Physics · Physics 2019-04-30 D. N. Bernal-García , B. A. Rodríguez , H. Vinck-Posada

We study a generalized double Jaynes-Cummings (JC) model where two entangled pairs of two-level atoms interact indirectly. We focus on the case where the cavities and the entangled pairs are uncorrelated. We show that there exist initial…

Quantum Physics · Physics 2015-06-05 Andrzej Veitia , Jun Jing , Ting Yu , Chee Wei Wong

Collective phenomena in the Tavis-Cummings model has been widely studied, focusing on the phase transition features. In many occasions, it has been used variational approaches that consider separated radiation-matters systems. In this…

Quantum Physics · Physics 2021-01-19 J. P. Restrepo Cuartas , H. Vinck-Posada

Analog quantum simulation - the technique of using one experimentally well-controlled physical system to mimic the behavior of another - has quickly emerged as one of the most promising near term strategies for studying strongly correlated…

Quantum Physics · Physics 2021-07-14 Kevin C. Smith , Aniruddha Bhattacharya , David J. Masiello

Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g. quantum energetics and thermodynamics, and guiding towards…

Quantum Physics · Physics 2022-02-02 Maria Maffei , Patrice A. Camati , Alexia Auffèves