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 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 Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field

2020 ◽  
Vol 44 (2) ◽  
pp. 167-176 ◽  
Author(s):  
E.K. Bashkirov
Keyword(s):  
Thermal Field ◽  
Resonant Interaction ◽  
Atomic State ◽  
Time Dependent ◽  
Field Interaction ◽  
Photon Interaction ◽  
Two Photon ◽  
Resonant Atom ◽  
Transi Tions ◽  
Atomic States

In this paper, we investigate the entanglement between two two-level atoms non-resonantly in-teracting with a thermal field of a lossless one-mode resonator via degenerate two-photon transi-tions. On the basis of the exact solution of the time-dependent density matrix we calculate the negativity as a measure of atomic entanglement. We show that for separable initial atomic states a slight atom-field detuning may generate the high amount of atom-atom entanglement. The re-sults also show that for non-resonant atom-field interaction the entanglement induced by nonlin-ear two-photon interaction is smaller than that induced by one-photon interaction in contrast to the resonant interaction situation. For a Bell-type entangled initial atomic state we obtain that if the detuning increases, there is an appreciable decrease in the amplitudes of the negativity oscilla-tions. The results also show that elimination of the sudden death of entanglement for non-resonant two-photon atom-field interaction may take place.

Sign in / Sign up

Export Citation Format

Share Document