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انجمن اپتیک و فوتونیک ایران

Entanglement between a Two-level Atom and the Coherent Photonic States in a Nonlinear Cavity

Mohammad Reza Abbasi

Published Feb 15, 2014• 0 citations
OpenAlex

Abstract

In this paper the time evolution of von Neumann entropy as a measure of entanglement between a two-level atom and the photonic coherent states in a cavity is studied. The atom-photon interaction occurs in the presence of a centrosymmetric medium which makes the photonic cavity mode couple with itself via the third order susceptibility. In the present system the atom-photon interaction is assumed to follow the linear Jaynes-Cummings model while the photonic selfcoupling is due to presence of a centrosymmetric medium and occurs via the third order susceptibility. After calculating the time-evolution operator, the von Neumann entropy, as a function of time, is determined. It is shown that an increase of photonic self-coupling leads to decreasing of entanglement. Furthermore, the role of atom-photon detuning on the entanglement behavior is also addressed.

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In this paper the time evolution of von Neumann entropy as a measure of entanglement between a two-level atom and the photonic coherent states in a cavity is studied. The atom-photon interaction occurs in the presence of a centrosymmetric medium which makes the photonic cavity mode couple with itself via the third order susceptibility. In the present system the atom-photon interaction is assumed to follow the linear Jaynes-Cummings model while the photonic selfcoupling is due to presence of a centrosymmetric medium and occurs via the third order susceptibility. After calculating the time-evolution operator, the von Neumann entropy, as a function of time, is determined. It is shown that an increase of photonic self-coupling leads to decreasing of entanglement. Furthermore, the role of atom-photon detuning on the entanglement behavior is also addressed.
We study the entanglement in a system consisting of two non-interacting atoms located in separate cavities, both in their ground states. A single incoming photon has a non-zero probability of entering either of the two cavities. The Jaynes-Cummings interaction in the rotating wave approximation describes the coupling of each atom with the radiation field. We compute and analyze the atom-atom entanglement, the entanglement between the two photon modes, and also the entanglement between each atom and each photon mode. The measure of entanglement is the von Neumann entropy. For the case in which the two atom-photon systems have identical properties, but allowing for non-resonant conditions, the sum of the atom-atom and photon-modes-entanglement is time independent. The effect of detuning is to decrease the strength of the largest entanglement achieved and to shorten the time for it to occur. The results support the fact that the state of the photons after emergence from cavities is entangled, notwithstanding its single-particle nature. In addition, for the case of resonance and identical cavity parameters, we demonstrate that von Neumann entropy is always greater than or equal to the measure of entanglement known as negativity.
In this paper, an analytical model for the interaction between a moving -type three-level atom and a two-mode radiation field is presented with two-photon transition and in the intensity-dependent coupling regime. After specifying the initial conditions for the atom and the field, the explicit form of the state vector of the entire system is obtained via the time evolution operator. In order to study the entanglement between subsystems, atom and field, temporal behavior of the von Neumann entropy, as a measure of entanglement, is examined.
We investigate the evolution of the atomic quantum entropy and the atom–field entanglement in a system of a Λ-configuration three-level atom interacting with a two-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom–field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a non-correlated two-mode squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analysed.
An entangled state, as an essential tool in quantum information processing, may be generated through the interaction between light and matter in cavity quantum electrodynamics. In this paper, we study the interaction between two two-level atoms and a two-mode field in an optical cavity enclosed by a medium with Kerr nonlinearity in the presence of a detuning parameter and Stark effect. It is assumed that the atom–field coupling and third-order susceptibility of the Kerr medium depend on the intensity of the light. In order to investigate the dynamics of the introduced system, we obtain the exact analytical form of the state vector of the considered atom–field system under initial conditions which may be prepared for the atoms (in a coherent superposition of their ground and upper states) and the fields (in a standard coherent state). Then, in order to evaluate the degree of entanglement between the subsystems, we investigate the dynamics of the entanglement by employing the entanglement of formation. Finally, we analyze in detail the influences of the Stark shift, the deformed Kerr medium, the intensity-dependent coupling, and also the detuning parameter on the behavior of this measure for different subsystems. The numerical results show that the amount of entanglement between the different subsystems can be controlled by choosing the evolved parameters appropriately.
In this paper, we study the interaction between the time-dependent field and a two-level atom with one mode electromagnetic field. We consider that the field of photons is assumed to be coupled with modulated coupling parameter which depends explicitly on time. It is shown that the considered model can be reduced to a well-known form of the time-dependent generalized Jaynes–Cummings model. Under special initial conditions, in which the atom and the field are prepared in the excited and the coherent states, respectively, the explicit time evolution of the wave function of the entire system is analytically obtained. Our proposal has many advantages over the previous optical schemes and can be realized in several multiple experiments, such as trapped ions and quantum electrodynamics cavity. The influence of the time-dependent field parameter on the collapses-revivals, the normal squeezing of the radiation, the anti-bunching of photons and the entanglement phenomena for the considered atomic system is examined. The linear entropy, the von Neumann entropy are used to quantify entanglement in the quantum systems. We noticed that these phenomena are affected by the existence of both the time-dependent coupling field and detuning parameters.
We study the interaction of a three two-level atoms (3-2LA) with a one-mode op?tical coherent field in coherent state in the presence of non-linear Kerr medium. The three atoms are initially prepared in upper and entangled states while the field mode is in a coherent state. The constants of motion, 3-2LA and field density matrix are obtained. The analytic results are employed to perform some investigations of the temporal evolution of the von Neumann entropy as measure of the degree of entanglement between the 3-2LA and optical coherent field. The effect of the detuning and the initial atomic states on the evolution of geometric phase and en?tanglement is analyzed. Also, we demonstrate the link between the geometric phase and non-classical properties during the evolution time. Additionally the effect of detuning and initial conditions on the Mandel parameter is studied. The obtained results are emphasize the impact of the detuning and the initial atomic states of the feature of the entanglement, geometric phase and photon statistics of theoptical coherent field.