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THE DETECTION OF BIMODE STATES FROM DEAF CAVITY THROUGH IONIZATION METHOD OF THE ATOMIC STATES

Marina Ţurcan

Published Jun 1, 2021• 0 citations
Publisher

Abstract

The equations of motion for the Raman and hyper-Raman conversion effect of atomic polarization are presented. At the same time, an experimental scheme previously used in the micromaser is proposed, which allows the determination of the number of atoms in the excited or in the ground state using the ionization method from the deaf cavity. Therefore, a method is proposed to link the number of atoms that have passed in the basic state of the induced-cooperative process of Stokes-type photon transformation in anti-Stokes (AS) photons in the case of Raman emission (RE) (following the micromaser model) or the transformation of photon pairs in the case of hyper-Raman emission (HRE)/

DOI
10.52673/18570461.21.1-60.03

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The equations of motion for the Raman and hyper-Raman conversion effect of atomic polarization are presented. At the same time, an experimental scheme previously used in the micromaser is proposed, which allows the determination of the number of atoms in the excited or in the ground state using the ionization method from the deaf cavity. Therefore, a method is proposed to link the number of atoms that have passed in the basic state of the induced-cooperative process of Stokes-type photon transformation in anti-Stokes (AS) photons in the case of Raman emission (RE) (following the micromaser model) or the transformation of photon pairs in the case of hyper-Raman emission (HRE)/
The paper proposes to unify the two-photon laser and induced cooperative scattering Raman lasing in which the flying ensemble of two-level excited radiators are coupled with the bimodal cavity field in nonlinear two-photon and scattering interactions. It discusses the situation in which the induced two-quantum lasing takes place together with the cooperative scattering conversion of photons between the pump, Stokes, and anti-Stokes cavity modes. The proposed master equation describes cooperative energy exchanges between Raman and two-photon lasing processes by portions of energies multiple to the energy of the entangled photon pair. The generators of such emission and absorption processes belonging to the symmetries of Raman conversion and two-photon cooperative generation are unified. The first symmetry belongs to su(2) algebra connected to the scattering conversion in the Stokes, pump, and anti-Stokes modes of cavity (Opt. Commun.,285(5) (2012) 686–692). The second one belongs to multi-mode su(1,1) symmetry which quantifies the cooperative process belonging to two-photon emission in cavity/fiber mode components of field (see Opt. Commun. 247(4–6) (2005) 381–392). The bimodal collective photon operators are introduced describing the emission or absorption acts of the fixed portion of energy from the cavity equal to the transition energy between the states of each excited atom. A key impact of the study focuses on the statistical properties of the bimodal field and their detection possibilities are proposed for the description of the time evolution of quantum correlations between the field components of Raman conversion and two-photon emission.
The cooperative excitation and absorption of light into three cavity modes (pump, Stokes and anti-Stokes), stimulated by excited radiators, is studied as bound entangled states of the photon subsystem. The three modes collective Roman emission and its connection with entangled state is defined introducing the cooperative description between photons of cavity modes. In the case, when the scattering rates in the Stokes and anti-Stokes modes coincide, the SU(2) and SU(1,1) symmetries are applied for a simple description of these cooperative processes. The possibilities to realize this effect in the free space is proposed, replacing the cavity modes with dipole active excited atoms in tow-quantum interaction with dipole-forbidden transitions of D atom. The statistical properties and detection method are proposed using the information entropy and atomic correlation functions.
The two types of cooperative effects between the converted photons in the multiple steps of Raman lasing are proposed. The first type involves the cooperative process between the photons of one of the steps of Raman conversion. The second cooperative effect appears between the photons belonging to different steps of multiple conversions. This new type of generated coherent state is proposed by novel bimodal entangled sources, which take into consideration both the coherence and collective phenomena between the photons belonging to the system of the bimodal field obtained in multiple Raman emissions. For this, the creation and annihilation operators of the new resonator quasi-particle ware introduced taking into consideration the Hilbert space of field vectors at frequency differences, ωp+1−ωp between the anti-Stokes components of multiple Raman lasing. The application of higher-order multiple Roman bimodal coherent field quantum information is described in accordance with the definition of quantum amplitude and phase of such entangled states of light. The cooperative properties of the bimodal field in the multiple scattering processes of Raman lasing in the cavity/fiber and its interaction with ensemble of atoms prepared in coherent state are proposed. We introduced the new characteristics of bi-modes field in which the multiple Raman scattering takes into consideration the interaction with coherent excitation and non-stationary quantum fluctuations of the generation rate of the introduced quasi particles. Here, we represent the rate moments through the annihilation and generation operators of the cavity quasi-parties.
Abstract The restoration of the initial state in the Raman interaction of the two atoms with the quantified pump and Stokes (anti-Stokes) cavity modes is analytically obtained. For this the su (2) symmetry representation of the bimodal field and a system of two atoms in scattering interaction is proposed for the simplification of the problem. Using the proprieties of the generators su (2) algebra the exact non-stationary solution of the system of two atoms in interaction with the bimodal field is found, taking into consideration the initial disentangled state between the atomic and field superposition. It is demonstrated that after this collapse and revivals of the inversion of flying atoms in the processes of absorption and emission of the photons from Stokes and pump modes the system atoms and field becomes entangled. The conditions of the restoration of the initial state of the atom-field system were established as a function of the flying time through the resonator possible. A set of discrete flying time intervals for the restoration of the initial disentangled state was found.
In this paper we propose the model interaction Hamiltonian which takes in-to consideration the four photon process in interaction of dressed field with 39K atoms. Using the method of elimination of virtual states, we obtain this the effective interaction Hamiltonian which describe the simultaneously generation of photon pairs. The master equation for laser field is obtain, taking into account the good cavity limits in the process of two photon generation. The steady state solution of this equation for threshold case, which takes in to account the quantum fluctuation and photon statistics, is proposed. The cross-correlation function between Stokes and anti-Stokes photon pairs is studied as function of the evolution of the system.
The polarization properties of one-atom maser pumped by the coherent field via Raman transitions are studied theoretically. The three-level Λ-type atoms with degenerate Rydberg levels E b < E a < E c enter the micromaser cavity being excited to the lower level E b . The coherent microwave field drives the transition b → c , while the maser transition a → c is coupled to the cavity quantum field. The dependence of the maser field parameters, such as the mean photon number and the variance, as well as of the correlation functions of the atoms, emerging from the cavity, versus the angle ψ between the polarizations of the maser and driving fields are investigated. The case of transitions J b = 3/2 → J c = 3/2 and J a = 5/2 → J c = 3/2 in the rubidium atoms, which are exploited in micromaser experiments (see, e.g., the review [1]), is analyzed numerically. The possibility of monitoring the state of the maser field by means of driving field polarization is discussed.