scholarly journals DYNAMICS OF TWO-LEVEL ATOMS INTERACTING WITH THERMAL FIELD FOR ENTANGLED INITIAL ATOMIC STATES

2017 ◽  
Vol 21 (6) ◽  
pp. 151-160
Author(s):  
E.K. Bashkirov ◽  
A.S. Solovieva ◽  
M.S. Mastyugin
Keyword(s):  
Exact Solution ◽  
Electromagnetic Field ◽  
Density Matrix ◽  
Thermal Field ◽  
Entanglement Dynamics ◽  
Large Intensity ◽  
Atomic States ◽  
And Control ◽  
High Degree ◽  
Degree Of Entanglement

In this paper the entanglement dynamics for system of two two-level atoms interacting with a mode of thermal electromagnetic field in lossless cavity has been investigated. Initial atomic states are the entangled Bell type states. Using the full set of eigenvectors of the Hamiltonian of the considered model we have derived the exact solution for the density matrix for the whole system. On its basis the reduced atomic density matrix and Peres - Horodetcki parameter have been calculated. Calculating of entanglement parameter shows the possibility of high degree of entanglement even for large intensity of thermal field. Thus there is a possibility of maintenance and control over the degree of entanglement.

scholarly journals Atom-atom entanglement in a not-resonant two-photon Tavis-Cummings model

2019 ◽  
Vol 220 ◽  
pp. 03018
Author(s):  
Marya O. Guslyannikova ◽  
Eugene K. Bashkirov
Keyword(s):  
Exact Solution ◽  
Density Matrix ◽  
Thermal Field ◽  
Time Dependent ◽  
Two Photon ◽  
Atomic States ◽  
Dependent Density

The entanglement between two two-level atoms (qubits) interacting not-resonantly with a one mode of thermal field in a lossless cavity via effective degenerate two-photon transitions is investigated. Based on the exact solution for the time-dependent density matrix of the system under consideration, negativity is calculated as a measure of the entanglement of atoms. The influence of a detuning on the dynamics of entanglement of atoms for separable and entangled initial atomic states and thermal cavity state is investigated.

scholarly journals Entanglement of two dipole-couples qubits induced by a thermal field of a cavity with Kerr medium

2021 ◽  
Vol 24 (3) ◽  
pp. 9-17
Author(s):  
Rodion K. Zakharov ◽  
Evgeny K. Bashkirov
Keyword(s):  
Computer Simulation ◽  
Exact Solution ◽  
Electromagnetic Field ◽  
Density Matrix ◽  
Liouville Equation ◽  
Thermal Field ◽  
Dipole Interaction ◽  
Full Density ◽  
Kerr Medium ◽  
Initial States

In the present work, we investigated the dynamics of two identical superconducting qubits interacting with the mode of the quantum electromagnetic field of a microwave coplanar cavity with a Kerr medium in the presence of an effective dipole-dipole interaction of the qubits. We have found an exact solution of the quantum Liouville equation for the complete density matrix of the system under consideration for the Fock and thermal chaotic initial states of the cavityr field. The exact solution for the full density matrix was used to determine the reduced qubit density matrix and to calculate the entanglement parameter concurrence. Computer simulation of the time dependence of the concurrshowed that for certain initial states of qubits, their entanglement can be significantly increased in the presence of a Kerr medium and direct dipole-dipole interaction.

Atom–atom entanglement dynamics enhancement via classically driven atoms coupled to a non-resonance single mode cavity field filled with nonlinear Kerr media

2015 ◽  
Vol 13 (05) ◽  
pp. 1550034 ◽  
Author(s):  
M. S. Ateto
Keyword(s):  
Single Mode ◽  
Kerr Medium ◽  
Entanglement Dynamics ◽  
Cavity Field ◽  
Kerr Media ◽  
Set Up ◽  
Atomic States ◽  
Interacting Atoms ◽  
High Degree ◽  
Degree Of Entanglement

Entanglement dynamics of two identical non-interacting atoms (qubits) coupled individually with simultaneous classical and quantum fields are studied. The cavity field is filled with a nonlinear Kerr medium and initially prepared in a coherent state. The atoms are initially set up as a Bell-like pure state (BS). We present an approach for diagonalization of time-dependent nonlinear Hamiltonian of the system exactly. Connection between the change in the degree of entanglement and tomography of field state in phase space are also illustrated and interpreted. We demonstrate the possibility of atom–atom (qubit–qubit) entanglement optimization by suitably choosing initial interaction settings. Overall, we show that both classical driving amplitude and detuning as well as Kerr media and initial atomic states acts as the control parameters for the qubit–qubit entanglement. By adjusting of these parameters, accurately, entanglement can be enhanced noticeably and high degree of steady periodical entanglement can be generated. Moreover, starting with initial atomic BSs in presence of classical driving suppresses coherences randomness and considerably accompanied with (for specific values of detuning) slight decrease in their amplitudes. Furthermore, the addition of cross Kerr term suppresses degree of entanglement noticeably, where entanglement creation and enhancement could just be possible if cross Kerr effect is moved out from interaction. Our present approach promises the great advantage of being suitable for large quantum systems of various kinds of nonlinearities.

The field-field and dipole-dipole coupling effects on the entanglement of the interaction between two qutrits with a two-mode field

2020 ◽  
Vol 35 (22) ◽  
pp. 2050183
Author(s):  
F. Jahanbakhsh ◽  
M. K. Tavassoly
Keyword(s):  
Density Matrix ◽  
Considerable Effect ◽  
Linear Entropy ◽  
Reduced Density Matrix ◽  
High Quality ◽  
Text Type ◽  
Mode Field ◽  
Atomic States ◽  
Reduced Density ◽  
Degree Of Entanglement

In this paper we study the interaction between two qutrits ([Formula: see text]-type three-level atoms) with a two-mode field in a high quality cavity, considering the field-field (F-F) correlation and dipole-dipole (D-D) interaction. By defining a Hamiltonian corresponds to D-D interaction related to the two three-level atoms, we introduce a generalized Hamiltonian of Jaynes-Cummings model for the desired system and then the associated Schrödinger equation is solved. Finally, by achieving the reduced density matrix and then the linear entropy as a criterion for the entanglement, we investigate the influence of the F-F and D-D coupling on the degree of entanglement of the system. Our results show that there exists specific initial superposition of atomic states wherein the stable value of linear entropy is accessible. In addition, in such cases the F-F correlation and D-D interaction have not considerable effect on the entropy. Moreover, in general, as we have shown, the entanglement can be tuned appropriately by choosing the parameters involve in the model.

scholarly journals Entanglement of two dipole-coupled qubits induced by a thermal field of one-mode lossless cavity with Kerr medium

2021 ◽  
Vol 2086 (1) ◽  
pp. 012216
Author(s):  
R K Zakharov ◽  
E K Bashkirov
Keyword(s):  
Exact Solution ◽  
Electromagnetic Field ◽  
Thermal Field ◽  
Kerr Nonlinearity ◽  
Microwave Cavity ◽  
Kerr Medium ◽  
Coupled Qubits

Abstract We studied the dynamics of two qubits interacting with one-mode thermal quantum electromagnetic field of microwave cavity with Kerr medium. Using the exact solution for considered model we derived the qubit-qubit negativity for separa coherent initial qubits states. We showed that initial qubits coherencee interaction can greatly enhance the degree of qubits entanglement in the presence of the Kerr nonlinearity and dipole-dipole interactionyeven for high thermal field intensities.

SOME FEATURES OF SQUEEZED NEGATIVE BINOMIAL STATE

1992 ◽  
Vol 06 (03n04) ◽  
pp. 409-415 ◽  
Author(s):  
AMITABH JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Electromagnetic Field ◽  
Density Matrix ◽  
Wigner Function ◽  
Negative Binomial ◽  
Thermal State ◽  
Photon Number ◽  
Binomial State ◽  
Relationship Of ◽  
The Relationship ◽  
Photon Number Distribution

Properties of electromagnetic field in the squeezed negative binomial state are investigated in terms of photon number distribution and Wigner function. The relationship of the density matrix of the squeezed negative binomial state to the density matrix of the squeezed thermal state is shown explicitly. The possibility of generation of the negative binomial state is also discussed.

Computer algebra: 4th International Conference Materials

2021 ◽  
Keyword(s):  
Exact Solution ◽  
Computer Science ◽  
Computer Algebra ◽  
Research Center ◽  
Dorodnicyn Computing ◽  
International Conference ◽  
Federal Research ◽  
Computing Center ◽  
And Control

The international conference is organized jointly by Dorodnicyn Computing Center of Federal Research Center “Computer Science and Control” of Russian Academy of Science and Peoples’ Friendship University of Russia. The talks presented at the conference discuss actual problems of computer algebra — the discipline whose algorithms are focused on the exact solution of mathematical and applied problems using a computer.

scholarly journals A Systematic Review of Greenhouse Humidity Prediction and Control Models Using Fuzzy Inference Systems

2022 ◽  
Vol 2022 ◽  
pp. 1-16
Author(s):  
Sebastian-Camilo Vanegas-Ayala ◽  
Julio Barón-Velandia ◽  
Daniel-David Leal-Lara
Keyword(s):  
Predictive Control ◽  
Fuzzy Inference ◽  
Fuzzy Inference Systems ◽  
Clustering Techniques ◽  
Control Models ◽  
Environment Variables ◽  
Prediction And Control ◽  
Inference Systems ◽  
And Control ◽  
High Degree

Cultivating in greenhouses constitutes a fundamental tool for the development of high-quality crops with a high degree of profitability. Prediction and control models guarantee the correct management of environment variables, for which fuzzy inference systems have been successfully implemented. The purpose of this review is determining the various relationships in fuzzy inference systems currently used for the modelling, prediction, and control of humidity in greenhouses and how they have changed over time to be able to develop more robust and easier to understand models. The methodology follows the PRISMA work guide. A total of 93 investigations in 4 academic databases were reviewed; their bibliometric aspects, which contribute to the objective of the investigation, were extracted and analysed. It was finally concluded that the development of models based in Mamdani fuzzy inference systems, integrated with optimization and fuzzy clustering techniques, and following strategies such as model-based predictive control guarantee high levels of precision and interpretability.

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