Dynamics of States in the Nonlinear Interaction Regime Between a Three-Level Atom and Generalized Coherent States and Their Non-Classical Features (original) (raw)

General formalism of interaction of a two-level atom with cavity field in arbitrary forms of nonlinearities

Physica A-statistical Mechanics and Its Applications, 2002

We propose a general formalism of a nonlinear Jaynes-Cummings-model by including possible forms of nonlinearities of both the ÿeld and the intensity-dependent atom-ÿeld coupling. We obtain an exactly analytic solution of the model, by means of which we identify and numerically demonstrate the region of parameters where signiÿcantly large entanglement can be obtained. Under the condition of an initial coherent ÿeld, the atomic inversion shows the collapse-revival phenomenon, which have di erent features in di erent forms of the nonlinearities. It is shown that features of the degree of entanglement is in uenced signiÿcantly by the kinds of the nonlinearities of the single-mode ÿeld. The in uences of the nonlinearities on the photon number distribution and phase properties are examined.

Nonlinear Dynamics of a Cavity Containing a Two-Mode Coherent Field Interacting with Two-Level Atomic Systems

Applied Sciences

This study analytically explored two coupled two-level atomic systems (TLAS) as two qubits interacting with two modes of an electromagnetic field (EMF) cavity via two-photon transitions in the presence of dipole–dipole interactions between the atoms and intrinsic damping. Using special unitary su(1,1) Lie algebra, the general solution of an intrinsic noise model is obtained when an EMF is initially in a generalized coherent state. We investigated the population inversion of two TLAS and the generated quantum coherence of some partitions (including the EMF, two TLAS, and TLAS–EMF). It is possible to generate quantum coherence (mixedness and entanglement) from the initial pure state. The robustness of the quantum coherence produced and the sudden appearance and disappearance of coherence depended not only on dipole–dipole coupling but also on the intrinsic noise rate. The growth of mixedness and entanglement may be enhanced by increasing dipole–dipole coupling, leading to more robustn...

Dynamics of entropy and nonclassical properties of the state of a Λ-type three-level atom interacting with a single-mode cavity field with intensity-dependent coupling in a Kerr medium

Journal of Physics B: Atomic, Molecular and Optical Physics, 2012

In this paper, we study the interaction between a three-level atom and a quantized single-mode field with "intensity-dependent coupling" in a "Kerr medium". The threelevel atom is considered to be in a Λ-type configuration. Under particular initial conditions, which may be prepared for the atom and the field, the dynamical state vector of the entire system will be explicitly obtained, for arbitrary nonlinearity function f (n) associated to any physical system. Then, after evaluating the variation of the field entropy against time, we will investigate the quantum statistics as well as some of the nonclassical properties of the introduced state. During our calculations we investigate the effects of intensity-dependent coupling, Kerr medium and detuning parameters on the depth and domain of the nonclassicality features of the atom-field state vector. Finally, we compare our obtained results with those of V-type three-level atoms.

Dynamics of physical properties of a single-mode quantized field non-linearly and non-resonantly interacting with two V-type three-level atoms passing consecutively through a cavity

Optics Communications, 2015

In this paper we address the analytical solution of the non-resonant interaction between two identical V-type three-level atoms passing consecutively through a single-mode cavity field in the presence of intensity-dependent coupling. By considering an identical initial condition for both atoms and an initial coherent field, we find the analytical solution of the state vector of the entire atom-field system. Accordingly, we could carefully investigate the influence of various parameters in the circumstances of the interacting system on different physical quantities such as the atomic population inversion, atom-field entanglement, field squeezing, sub-Poissonian statistics and the Wigner quasi-probability distribution function. In detail, we discuss numerically the influences of the detuning parameters and a particular nonlinearity function on the mentioned quantities and demonstrate that they have substantial effects on the temporal behavior of the above-mentioned nonclassical

Nonlinear optical effects on the atom–field interaction based on the nonlinear coherent states approach

Journal of the Optical Society of America B, 2022

In this paper, to study the effects of a nonlinear medium on the atom–field interaction, we use the nonlinear coherent states approach. For this purpose, we choose the two-mode cross-Kerr as our nonlinear optical phenomena, and with the use of its algebra, we show that it can be considered as a deformed oscillator as well as a deformedsu(2)algebra. Then we construct the associated two-mode nonlinear coherent states and investigate their statistical properties. After that, as an example of applicability of the constructed coherent states, we investigate the nonlinear effects of the medium on the dynamics of atom–field interaction within the framework of the coherent states. By using the time-dependent Schrödinger equation, we study the effect of the nonlinear medium on the occupation probabilities of the atomic levels and consider the relation between the revival time of the atomic occupation probabilities and the nonlinear parameter of the medium. Then, to study the nonlinear effect...

Absorption Spectrum for a Multi-photon -type Three-level Atom Driven by a Single-Mode Field with Nonlinearities

2018

A treatment of a multi-photon -type three-level atom interacting with a single mode field in a cavity, taking explicitly the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling into account. Analytical expressions of the absorption spectrum is presented using the dressed states of the system. The characteristics of the absorption spectrum considering the field to be initially in a squeezed coherent state is exhibited. The effects of the photon multiplicities, mean number of photons, detuning and the nonlinearities on the spectrum are investigated.

Dynamics for two atoms interacting with intensity-dependent two-mode quantized cavity fields in the ladder configuration

Physical Review A, 2012

Exact solutions are obtained for a collective model of two identical two-level atoms interacting with a quantized bimodal field with intensity-dependent coupling terms in a lossless cavity. A unitary transformation method is used to solve the time-dependent problem that also gives the eigensolutions of the interaction Hamiltonian. The atomic population dynamics and the dynamics of the photon statistics of the two cavity modes are studied. We present evidence of cooperative effects.

Dynamic evolution of double \Lambda Λ five-level atom interacting with one-mode electromagnetic cavity field

Pramana, 2017

In this paper, the model describing a double five-level atom interacting with a single mode electromagnetic cavity field in the (off) non-resonate case is studied. We obtained the constants of motion for the considered model. Also, the state vector of the wave function is given by using the Schrödinger equation when the atom is initially prepared in its excited state. The dynamical evolutions for the collapse revivals, the antibunching of photons and the field squeezing phenomena are investigated when the field is considered in a coherent state. The influence of detuning parameters on these phenomena is investigated. We noticed that the atom-field properties are influenced by changing the detuning parameters. The investigation of these aspects by numerical simulations is carried out using the Quantum Toolbox in Python (QuTip).

Nonlinear spectroscopy of a three level atom strongly interacting with a quantized cavity mode

arXiv (Cornell University), 2019

We present detailed numerical simulations of semiclassical and quantum spectra of a cavity quantum electrodynamics system consisting of a single three-level atom in Λ-configuration with one of its transitions strongly interacting with a quantized cavity mode while the other is driven by a coherent classical field. After deriving the equations of motion for the expected values of the system operators from the master equation, we compute numerically the semiclassical and quantum spectra of the system under various levels of external driving field strengths. In the semiclassical approach we neglect the quantum correlations between cavity and atomic operators, while we make no such assumption in the fully quantum approach. We show that, under sufficiently weak driving field conditions, the semiclassical and fully quantum mechanical approaches result in identical spectra. However at higher driving field intensities, the two approaches yield starkly different results: The fully quantum mechanical approach results in multiphoton spectrum with well-defined structure while the semiclassical results in a bistable spectrum. Our results also reveal that the Raman transition mediated by the dark state of the system has a complex structure that depends on the manner in which the system is probed.

Effect of intensity-dependent couplings and the atomic dissipation on the interaction of two three-level atoms and two modes of radiation field

Optical and Quantum Electronics

In this article the effect of intensity-dependent coupling and the atomic dissipation on the interaction of a pair of three-level atoms in the Ξ configuration with a bi-mode cavity field are studied. The solution of the proposed model is obtained in the resonance case. Some statistical quantities are discussed to discover the characteristics of the model. With different nonlinearity functions, the population inversion and the photon number dynamics, which display the phenomenon of collapses and revivals are discussed. The non-classical effects by examining the Mandel Q-parameter are considered. The amount of correlation between the two atoms and the field is estimated by analyzing the results of the fidelity.