Based on the f-oscillator formalism, we introduce a nonlinear Jaynes–Cummings model (NJCM) which is constructed from standard JCM by deforming single-mode field operators. Such generalization of describes interaction two-level atom with single mode electromagnetic in presence Kerr-like medium. Since medium modelled as an f-oscillator, it possible to consider f-coherent states (nonlinear coherent states) and their evolution.

In this work, we construct nonlinear coherent states for Hamiltonians with linear and quadratic terms in the number operator by generalization of two definitions: as eigenstates a deformed annihilation those obtained application displacement on vacuum state. We evaluate their temporal dependence, analyze its dispersion relations some statistical properties model Hamiltonians, one supporting finite bound other an infinite states.

In this work we examine a nonlinear version of the Jaynes–Cummings model for two identical two-level atoms allowing Ising-like and dipole–dipole interplays between them. The is said to be in sense that it can incorporate both general intensity-dependent interaction atomic system cavity field and/or presence medium inside cavity. As an example, consider particular type atom-field coupling based upon so-called Buck–Sukumar lossless Kerr-like We describe possible effects such features on...

In this work we make use of deformed operators to construct the coherent states some nonlinear systems by generalization two definitions: i) As eigenstates a annihilation operator and ii) application displacement vacuum state.We also for same using ladder obtained traditional methods with knowledge eigenfunctions eigenvalues corresponding Schrödinger equation.We show that both yield identycal algebraic structure.

We study theoretically quantum statistical and spectral properties of the resonance fluorescence a single atom or system with angular momentum $J=1/2\ensuremath{-}{J}^{\ensuremath{'}}=1/2$ driven by monochromatic linearly polarized laser field, due to interference among its two antiparallel $\ensuremath{\pi}$ transitions. A magnetic field parallel polarization is applied break degeneracy (Zeeman effect). In nondegenerate case, transitions evolve at different generalized Rabi frequencies,...

We investigate time-dependent spectra of the intermittent resonance fluorescence a single, laser-driven, three-level atom due to electron shelving. After quasistationary state strong transition, slow decay shelving leads steady system. The long-term stationary spectrum consists coherent peak, an incoherent Mollow-like structure, and very narrow peak at laser frequency. find that in ensemble-average dynamics, emerges during regime, after Mollow has stabilized but well before average dark time...

An effective toy model for an ideal one-dimensional nonstationary cavity is taken to be the starting point derive a fitting markovian master equation corresponding leaky cavity. In regime where generation of photons via dynamical Casimir effect bounded, thus constructed allows us investigate effects decoherence on average number and their quantum fluctuations through second-order correlation function.

Using the f-deformed oscillator formalism, we introduce a class of squeezed coherent states for Morse potential system (Morse-like states) defined as approximate eigenstates linear combination ladder operators. For thus constructed, analyze their statistical properties, uncertainty relations, Wigner function and temporal evolution on phase space.

The proper functioning of some micro-fabricated novel quantum devices, such as superconducting resonators and qubits, is severely affected by the presence parasitic structural material defects known tunneling two-level-systems (TLS). Recent experiments have reported unambiguous evidence strong interaction between individual (coherent) TLS using strain-assisted spectroscopy. This work provides an alternative simple theoretical insight that illustrates how to obtain spectral response strongly...

Within the f-deformed oscillator formalism, we derive a Markovian master equation for description of damped dynamics nonlinear systems that interact with their environment. The applicability this treatment to particular case Morse-like interacting thermal field is illustrated, and decay quantum coherence in such system analyzed terms evolution on phase space its coherent states via Wigner function.

Using the Wigner distribution function, we analyze behavior on phase space of generalized coherent states associated with Morse potential (Morse-like states). Within f-deformed oscillator formalism, such are constructed by means following two definitions: (i) as deformed displacement operator and (ii) photon-added states.

In this work, we study the generation of photons inside an ideal cavity with resonantly oscillating boundaries in presence a two-level atom. We make use Lie algebraic techniques to obtain approximate time-evolution operator and not only evaluate resonant dispersive regimes but also explore different regions parameters. have found very good agreement between our results those obtained by numerical means.

This work aims to provide an alternative approach modeling a two-state system (qubit) coupled nonlinear oscillator. Within single algebraic scheme based upon the f-deformed oscillator description, hard and soft nonlinearities are proposed be simulated by making use of fitting models extracted from trigonometric modified P\"oschl-Teller potentials, respectively. In regime where strength coupling is considered moderate, this allows for analytic, albeit approximate, diagonalization process...

We study phase-dependent fluctuations of the resonance fluorescence a single $Λ$-type three-level atom in regime near coherent population trapping, i.e., alongside two-photon detuning condition. To this end, we employ method conditional homodyne detection (CHD) which considers squeezing weak driving regime, and extends to non-Gaussian for saturating strong fields. In framework, using estimated parameter settings trapped $^{138} \mathrm{Ba}^{+}$ ion, light scattered from probe transitions is...

In this work we present some statistical properties of even and odd combinations nonlinear coherent states associated with two potentials; one supporting a finite number bound the other an infinite states, within framework f-deformed algebra. We calculate their normalized variance temporal evolution dispersion relations using defined as (a) eigensates deformed annihilation operator (b) those created by application displacement upon ground state oscillator.

We study theoretically quantum statistical and spectral properties of the resonance fluorescence a single atom or system with angular momentum $J=1/2 - J'=1/2$ driven by monochromatic linearly polarized laser field, due to interference among its two antiparallel, $\pi$ transitions. A magnetic field parallel polarization is applied break degeneracy (Zeeman effect). In nondegenerate case, transitions evolve at different generalized Rabi frequencies, producing beats in intensity dipole-dipole,...