Photon Statistics Of Fields Research Articles

Photon statistics and non-local properties of a two-qubit-field system in the excited negative binomial distribution

In this paper, a quantum scheme for a two-qubit system (2QS) and field initially prepared in the excited negative binomial distribution is presented. The field photon statistics is detected from the evolution of the Mandel parameter, while the evolution of von Neumann entropy detects the nonlocal correlation between the 2QS and radiation field. The concurrence is used to detect the qubit-qubit entanglement during the time evolution. The dynamical properties of single-qubit and two-qubit quantum Fisher information are investigated. We visualize the number of photon excitations on the field in negative binomial states with influence of photon success probability. A connection is provided between the dynamical behaviors of these statistical quantities. We have found that the proposed quantities are strongly influenced by the number of excited photons of the field in negative binomial states and photon success probability.

Interaction of a superconducting qubit and a nonlinear field under energy dissipative effect: entanglement and nonclassical properties

The present manuscript studies the temporal behavior of quantum entanglement and nonclassical properties for a superconducting-qubit ( $$\hbox {SC}_{ \text {qubit}}$$ )- field system in the framework of deformed f-oscillator formalism. We introduce the nonlinear Jaynes-Cummings model by using the deformation of the mode field operators. Such a generalization of the Jaynes Cummings model that considers the interaction of a $$\hbox {SC}_{\text {qubit}}$$ with an electromagnetic field in the presence of a nonlinear Kerr-like medium and energy dissipation. We examine the effect of the detuning and decay parameters on the degree of the quantum entanglement, population inversion and field photon statistics. Finally, the relationship among quantum quantifiers is explored according to the optimal choice of the main parameters of the physical model.

Quantum-state measurement of two-mode entangled field-state in a high-Qcavity

We propose a scheme for the measurement of a two-mode entangled field-state in a high-$Q$ cavity. The scheme utilizes the momentum distribution spectrum in the Raman-Nath regime of a three-level atom in $V$ configuration. Due to the two modes of the electromagnetic field the atom may have $x$ interactions with mode $A$, and $y$ interactions with mode $B$, causing a complex momentum distribution. The momentum distribution of the atom after interaction with the quantized cavity fields contains the information of the field photon statistics. We reconstruct the joint photon statistics of the entangled field with the help of recorded momentum spectrum. We also propose to reconstruct the Wigner function of a two-mode entangled field state by injecting two coherent states resonant to each mode into the cavity and then measuring the joint photon statistics of the displaced field.

INFLUENCE OF NONLINEARITIES OF BOTH THE FIELD AND THE INTENSITY-DEPENDENT ATOM-FIELD COUPLING ON THE EMISSION SPECTRUM OF AN ATOM IN A CAVITY

The emission spectrum of a single atom in the nonlinear coupling J-C (Jaynes-Cummings) model including any forms of nonlinearities of both the field and the intensity-dependent atom-field coupling is studied.The effects of nonlinearities on the spectrum are demonstrated.It is shown that features of the emission spectrum are influenced significantly by the kinds of the field nonlinearity term R(a+a) and the intensity-dependent atom-field nonlinear coupling factor f(a+a).The structure of the spectrum is quite different from that of the standard J-C model.It is found that when f(a+a)=1/(a+a)1/2,the emission spectra always show the definite three-peak structure for any initial state of the field,which implies that the effects on the emission spectrum of both the specific intensity-dependent nonlinear medium with f(a+a)=1/(a+a)1/2 and the initial field photon statistics can be counterbalanced.This feature is analyzed with an analytic method.

Emissionspectrum of two-mode nonlinear Jaynes-Cummings model

The emission spectrum of a single atom in a two-mode Jaynes-Cummingsmodel including any form of nonlinearity of both the two-mode fields andthe intensity-dependent atom-field coupling is studied. A generalexpression for the emission spectrum is given as an explicit function ofany nonlinear terms presented in the model. The effects of thenonlinearities on the spectrum are demonstrated for several importantexamples. It is shown that features of the emission spectrum areinfluenced significantly by the kinds of intensity-dependentatom-field coupling and the nonlinearities of the two-mode fields. It isalso found in an analytic way that the effects on the emission spectrum ofboth the specific intensity-dependent nonlinear medium and the initialtwo-mode field photon statistics can be counterbalanced in some specialcases.

Quantum theory of self-phase modulation

The time-dependent Hartree approximation discussed by Lai Haus [ Phys. Rev. A40, 844 ( 1989)] is used to investigate the effects of self-phase modulation on a beam of finite transverse extent propagating through a Kerr nonlinear medium. For a thermal field the photon statistics can greatly alter the spatial frequency spectrum in comparison with that for a coherent field. This suggests the use of self-phase modulation as a probe of field photon statistics.

Atomic beam deflection in a quantum field

We study atomic beam deflection in a quantum standing wave field and show that the deflection is a sensitive function of the field photon statistics.

Photon Counting Probabilities in Quantum Optics

We reconsider various approaches to the quantum theory of photodetection from the point of view of the quantum theory of measurement, and show that important differences between them depend upon the manner in which they take into account the modification of the field distribution produced by the presence of the detector. We show that the Mandel photon counting formula may lead to unphysical results, such as negative probabilities, in some situations just because this modification is not incorporated into the model. We also show that the recently developed quantum theory of continuous measurements provides a completely satisfactory framework for discussing photon counting experiments. As an illustration, an exact derivation of the photon statistics of a single-mode free field is presented, and some of the results are shown to be identical to those derived earlier by Mollow and others. We also indicate how our approach can be extended to discuss the photon statistics of fields in interaction with sources an...

Photon statistics of fields generated by interference of modes correlated by parametric processes

As a model to correlate light modes we consider the nondegenerate three-wave interaction in parametric approximation. The correlated modes are made to interface with each other and the photon statistics of the resulting field is investigated. A possible enhancement of photon antibunching is clearly shown and discussed.