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In this book chapter we analyze the high excitation nonlinear response of the Jaynes-Cummings model in quantum optics when the qubit and cavity are strongly coupled. We focus on the parameter ranges appropriate for transmon qubits in the…

Mesoscale and Nanoscale Physics · Physics 2012-07-20 Eran Ginossar , Lev S. Bishop , S. M. Girvin

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 quantum optics model allows us to understand the dialogue between light and matter at its most fundamental level, which is crucial for advancements in quantum science and technology. Several generalizations of the model…

We study the nonlinear response of a driven cavity QED system in the extreme strong coupling regime where the saturation photon number is below one by many orders of magnitude. In this regime, multi-photon resonances within the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 András Dombi , András Vukics , Peter Domokos

We follow the passage from complex amplitude bistability to phase bistability in the driven dissipative Jaynes-Cummings oscillator. Quasidistribution functions in the steady state are employed, for varying qubit-cavity detuning and drive…

Quantum Physics · Physics 2017-01-26 Th. K. Mavrogordatos

We highlight the importance of quantum fluctuations in organizing a dissipative quantum phase transition for the driven Jaynes-Cummings interaction with variable qubit-cavity detuning. The system response presents a substantial difference…

Quantum Physics · Physics 2018-03-15 Th. K. Mavrogordatos

We present a new method to observe direct experimental evidence of Jaynes--Cummings nonlinearities in a strongly dissipative cavity quantum electrodynamics system, where large losses compete with the strong light-matter interaction. This is…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Fabrice P. Laussy , Elena del Valle , Michael Schrapp , Arne Laucht , Jonathan J. Finley

We calculate the cavity-field distribution in the Wigner representation for the two-photon resonance of the weakly driven Jaynes-Cummings (JC) oscillator in its strong-coupling limit. Using an effective four-level system, we analytically…

Quantum Physics · Physics 2022-06-23 Th. K. Mavrogordatos

We consider the Jaynes-Cummings model of a single quantum spin $s$ coupled to a harmonic oscillator in a parameter regime where the underlying classical dynamics exhibits an unstable equilibrium point. This state of the model is relevant to…

Statistical Mechanics · Physics 2015-05-13 O. Babelon , L. Cantini , B. Doucot

We approach the strong-coupling thermodynamic limit in the response of the open driven Jaynes-Cummings (JC) oscillator. We do so by highlighting the role of quantum fluctuations against the semiclassical response in three distinct regimes…

Quantum Physics · Physics 2019-09-12 Th. K. Mavrogordatos

One of the most studied model systems in quantum optics is a two-level atom strongly coupled to a single mode of the electromagnetic field stored in a cavity, a research field named cavity quantum electrodynamics or CQED. CQED has recently…

Quantum Physics · Physics 2011-11-03 P. Bertet , F. R. Ong , M. Boissonneault , A. Bolduc , F. Mallet , A. C. Doherty , A. Blais , D. Vion , D. Esteve

We demonstrate a qubit readout scheme that exploits the Jaynes-Cummings nonlinearity of a superconducting cavity coupled to transmon qubits. We find that in the strongly-driven dispersive regime of this system, there is the unexpected onset…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 M. D. Reed , L. DiCarlo , B. R. Johnson , L. Sun , D. I. Schuster , L. Frunzio , R. J. Schoelkopf

We explore how the Jaynes-Cummings ladder transpires in the emitted spectra of a two-level system in strong coupling with a single mode of light. We focus on the case of very strong coupling, that would be achieved with systems of…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 Fabrice P. Laussy , Elena del Valle

We explore the role of quantum fluctuations in the strong-coupling limit of the dissipative Jaynes-Cummings oscillator driven on resonance. For weak excitation, we derive analytical expressions for the spectrum and the intensity correlation…

Quantum Physics · Physics 2021-05-28 Th. K. Mavrogordatos

The driven-damped Jaynes-Cummings model in the regime of strong coupling is found to exhibit a coexistence between the quantum photon blockaded state and a quasi-coherent bright state. We characterize the slow time scales and the basin of…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 E. Ginossar , Lev S. Bishop , D. I. Schuster , S. M. Girvin

We analyze in detail an open cavity array using mean-field description, where each cavity field is coupled to a number of three-level atoms. Such system is highly tunable and can be described by a Jaynes-Cummings like Hamiltonian with…

Quantum Physics · Physics 2016-06-22 Jiří Minář , Şebnem Güneş Söyler , Igor Lesanovsky

We investigate the nonequilibrium dynamics of a Josephson-coupled Jaynes-Cummings dimer in the presence of Kerr nonlinearity, which can be realized in the cavity and circuit quantum electrodynamics systems. The semiclassical dynamics is…

Quantum Physics · Physics 2024-04-09 G. Vivek , Debabrata Mondal , S. Sinha

We study the generalized Jaynes-Cummings model of quantum optics at the inversion-symmetry-breaking and in the ultrastrong coupling regime. With the help of a generalized multiphoton rotating-wave approximation, we study the stationary…

Quantum Physics · Physics 2015-06-16 H. K. Avetissian , G. F. Mkrtchian

We study theoretically the dynamics of multiple mechanical oscillators coupled to a single cavity field mode via linear or quadratic optomechanical interactions. We focus specifically on the strong coupling regime where the cavity decays…

Quantum Physics · Physics 2014-01-14 H. Seok , L. F. Buchmann , E. M. Wright , P. Meystre

The coherent state representations of the group $G = W_1 \otimes G_0$ (where $G_0 = SU(2), SU(1,1)$) are used in computer simulation of the dynamics of single two-level atom $(G_0 = SU(2))$ interacting with a quantized photon cavity mode -…

Quantum Physics · Physics 2007-05-23 Alexander V. Gorokhov , Elena V. Rogacheva , Alexander V. Shiryaev
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