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We analyze the Jaynes-Cummings model of quantum optics, in the strong-dispersive regime. In the bad cavity limit and on timescales short compared to the atomic coherence time, the dynamics are those of a nonlinear oscillator. A steady-state…

Quantum Physics · Physics 2010-09-03 Lev S. Bishop , Eran Ginossar , S. M. Girvin

We study the thermodynamic properties of a system of two-level dipoles that are coupled ultrastrongly to a single cavity mode. By using exact numerical and approximate analytical methods, we evaluate the free energy of this system at…

Quantum Physics · Physics 2020-09-30 Philipp Pilar , Daniele De Bernardis , Peter Rabl

Analytical solution for the stationary density matrix is derived, by using the Morris-Shore transformation, for an open Jaynes-Cummings system of a two-level atom with Zeeman sublevel degeneracy coupled to an arbitrary-polarized cavity…

Quantum Physics · Physics 2009-10-08 Sungsam Kang , Youngwoon Choi , Sooin Lim , Wookrae Kim , Jai-Hyung Lee , Kyungwon An

Dynamical decoupling is a coherent control technique where the intrinsic and extrinsic couplings of a quantum system are effectively averaged out by application of specially designed driving fields (refocusing pulse sequences). This entails…

Quantum Physics · Physics 2009-11-13 Leonid P. Pryadko , Gregory Quiroz

We study in detail entanglement properties of the Jaynes-Cummings model assuming a two-level atom (qubit) interacting with the first $N$ levels of an electromagnetic field mode (qudit) in a cavity. In the Jaynes-Cummings model, the number…

Quantum Physics · Physics 2015-06-15 Nicolás Quesada , Anna Sanpera

Catalysis plays a key role in many scientific areas, most notably in chemistry and biology. Here we present a catalytic process in a paradigmatic quantum optics setup, namely the Jaynes-Cummings model, where an atom interacts with an…

Dynamics of entanglement due to intensity-dependent interaction between a two-level atom and a single-mode electromagnetic field in a Kerr medium is studied. The form of the interaction is such that the Hamiltonian evolution is exactly…

Quantum Physics · Physics 2009-07-20 A B M Ahmed , S Sivakumar

The dynamics of an atom on the Jaynes-Cummings model has been studied by an atomic inversion, von Neumann entropy and so on. In this letter, we will treat the Jaynes-Cummings model as a problem in non-equilibrium statistical mechanics and…

Quantum Physics · Physics 2011-04-15 Shigeru Furuichi , Masanori Ohya , Hiroki Suyari

We study the entanglement dynamics of two atoms coupled to their own Jaynes-Cummings cavities in single-excitation space. Here we use the concurrence to measure the atomic entanglement. And the partial Bell states as initial states are…

Quantum Physics · Physics 2021-02-03 Ya Yang , Yan Liu , Jing Lu , Lan Zhou

Quantum optics with giant emitters has shown a new route for the observation and manipulation of non-Markovian properties in waveguide-QED. In this paper we extend the theory of giant atoms, hitherto restricted to the perturbative…

We consider a generalized double Jaynes-Cummings model consisting of two isolated two-level atoms, each contained in a lossless cavity, with the cavities interacting with each other through a controlled photon hopping mechanism. The…

Quantum Physics · Physics 2018-01-23 Mahasweta Pandit , Sreetama Das , Sudipto Singha Roy , Himadri Shekhar Dhar , Ujjwal Sen

Two versions of the semi-classical Jaynes--Cummings model without the rotating wave approximation are investigated. It is shown that for a non-zero value of the coupling constant the version introduced by Belobrov, Zaslavsky, and…

Chaotic Dynamics · Physics 2017-03-21 Andrzej J. Maciejewski , Wojciech Szumiński

We report on ultrastrong coupling between a superconducting flux qubit and a resonant mode of a system comprised of two superconducting coplanar stripline resonators coupled galvanically to the qubit. With a coupling strength as high as 17%…

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

Although the oscillator strength sum rule forbids the phase transition in ideal non-interacting two-level atoms systems, we present the possibility of the quantum phase transition in the coupled two-level atoms in a cavity. The system…

Quantum Physics · Physics 2021-08-25 Tao Liu , Yu-Yu Zhang , Qing-Hu Chen , Ke-Lin Wang

We investigate the effects of considering two different incoherent pumpings over a microcavity-quantum dot system modelled using the Jaynes-Cummings Hamiltonian. When the system is incoherently pumped with polaritons it is able to sustain a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Nicolás Quesada , Herbert Vinck-Posada , Boris A. Rodríguez

Phase transitions are commonly held to occur only in the thermodynamical limit of large number of system components. Here we exemplify at the hand of the exactly solvable Jaynes-Cummings (JC) model and its generalization to finite…

Quantum Physics · Physics 2016-09-21 Myung-Joong Hwang , Martin B. Plenio

Ultrastrong coupling is a distinct regime of electromagnetic interaction that enables a rich variety of intriguing physical phenomena. Traditionally, this regime has been reached by coupling intersubband transitions of multiple quantum…

he effect of the counter-rotating terms in the Jaynes-Cummings model is investigated with an extended coherent-state approach. The counter-rotating terms greatly modify the vacuum Rabi splitting. Two peaks with different heights in the weak…

Quantum Physics · Physics 2013-11-08 Yu-Yu Zhang , Qing-Hu Chen , Shi-Yao Zhu

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC…

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