This paper concerns the model of Cummings and Foreman where from ω supercompact cardinals they obtain the tree property at each אn for 2 ≤ n < ω. We prove some structural facts about this model. We show that the combinatorics at אω+1 in this model depend strongly on the properties of ω1 in the ground model. From different ground models for the CummingsForeman iteration we can obtain either אω+1...

The authors theoretically study the polariton dynamics in single- and two-body Jaynes-Cummings systems identify mechanisms that allow interchange of branches. results provide insights into controlling Mott insulator to superfluid transition.

Abstract We have experimentally observed the dynamics of a single polariton and two polaritons in two-ion chain. By driving trapped ions at motional blue-sideband (BSB) transition, we realize anti-Jaynes–Cummings–Hubbard (JCH) model. When exists trapped-ion chain, hops between ion sites. On other hand, when there are each site, hopping is suppressed because polariton–polariton interaction induc...

We study the intensity-dependent and nonresonant Jaynes-Cummings Hamil-tonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion matrix factor.

The semiclassical approximation of coherent state path integrals is employed to study the dynamics of the Jaynes-Cummings model. Decomposing the Hilbert space into subspaces of given excitation quanta above the ground state, the semiclassical propagator is shown to describe the exact quantum dynamics of the model. We also present a semiclassical approximation that does not exploit the special p...

The Jaynes-Cummings model describing the interaction of a single linearlypolarized mode of the quantized electromagnetic field with an isolated two-level atom is generalized to the case of atomic levels degenerate in the projections of the angular momenta on the quantization axis, which is a usual case in the experiments. This generalization, like the original model, obtains the explicit soluti...

We investigate the two-photon transport through a waveguide side coupling to a whispering-gallery-atom system. Using the Lehmann-Symanzik-Zimmermann reduction approach, we present the general formula for the two-photon processes including the two-photon scattering matrices, the wave functions, and the second order correlation functions of the outgoing photons. Based on the exact results of the ...

1 0.1 Abstract The Jaynes-Cummings model of a two-level atom in a single mode cavity is of fundamental importance both in quantum optics and in quantum physics generally , involving the interaction of two simple quantum systems-one fermionic system (the TLA), the other bosonic (the cavity mode). Depending on the initial conditions a variety of interesting effects occur, ranging from ongoing osc...