Dynamics of two-level atoms interacting with thermal field for entangled initial atomic states
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 151-160 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: two-level atoms, thermal field, lossless cavity, atomic coherence, atomic density matrix.
Mots-clés : dipole-dipole interaction, one-photon transitions, entanglement
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E. K. Bashkirov; A. S. Solovieva; M. S. Mastyugin. Dynamics of two-level atoms interacting with thermal field for entangled initial atomic states. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2015), pp. 151-160. http://geodesic.mathdoc.fr/item/VSGU_2015_6_a20/

[1] Schumacker D., Westmoreland M. D., Quantum Processes, Systems and Information, Cambridge University Press, New York, 2010, 469 pp. (in English) | MR

[2] Buluta I., Ashhab F., Nori F., “Natural and artificial atoms for quantum computation”, Reports on Progress in Physics, 74 (2011), 104401 (in English) | DOI

[3] Gühne O., Töth G., “Entanglement detection”, Physics Reports, 474 (2014), 1–75 (in English) | DOI | MR

[4] Kim M. S., Lee J., Ahn D., Knight P. L., “Entanglement induced by a single-mode heat environment”, Physical Review, A65 (2002), 040101 (in English) | DOI

[5] Bashkirov E. K., “Entangled states in the system of two nonidentiacl atoms interacting with thermal field”, Vestnik of Samara State University. Natutal Science Series, 2006, no. 3, 21–29 (in Russian)

[6] Zhou L., Song H. S., “Entanglement induced by a single-mode thermal field and criteria for entanglement”, Journal of Optics, B4 (2002), 425–429 (in English)

[7] Bashkirov E. K., Stupatskaya M. P., “Entanglement of two atoms interacting with thermal field”, Computer Optics, 35:2 (2011), 243–249 (in Russian)

[8] Bashkirov E. K., Mastyugin M. S., “Entanglement of two superconducting qubits interacting with two-mode thermal field”, Computer Optics, 37:3 (2013), 278–285 (in Russian) | Zbl

[9] Bashkirov E. K., Mastyugin M. S., “The dynamics of entanglement in two-atom Tavis-Cummings model with non-degenerate two-photon transitions for four-qubits initial atom-field entangled states”, Optics Communications, 313 (2014), 170–174 (in English) | DOI

[10] L. S. Aguiar et al., “The entanglement of two dipole-dipole coupled atoms in a cavity interacting with a thermal field”, Journal of Optics, B7 (2005), S769–S771 (in English)

[11] Hu Y. H., Fang M. F., “Coherence-Enhanced Entanglement Induced by a Two-Mode Thermal Field”, Communications in Theoretical Physics, 54 (2010), 421–426 (in English) | DOI | Zbl

[12] Bashkirov E. K., Mastyugin M. S., “Influence of dipole-dipole interaction and atomic coherence on entanglement of two atoms with degenerate two-photon transitions”, Optics and Spectroscopy, 114:4 (2014), 678–683 (in Russian) | DOI

[13] Bashkirov E. K., Mastyugin M. S., “The influence of atomic coherence and dipole-dipole interaction on entanglement of two qubits with nondegenerate two-photon transitions”, Pramana, 84 (2015), 127–135 (in English) | DOI

[14] Peres A., “Separability Criterion for Density Matrices”, Physical Review Letters, 77 (1996), 1413–1415 (in English) | DOI | MR | Zbl

[15] Horodecki M., Horodecki P., Horodecki R., “Separability of Mixed States: Necessary and Sufficient Conditions”, Physical Letters, A223 (1996), 1–8 (in English) | DOI | MR | Zbl

[16] Bashkirov E. K., Le Kien F., Shumovsky A. S., “Collective spontaneous radiation of two atoms in the finite-Q cavity”, Physica A: Statistical Mechanics and its Applications, 167:3 (1990), 935–944 (in English) | DOI

[17] Bashkirov E. K., Mangulova E. G., “Dynamics of two two-level atoms in finite-Q cavity”, Bulletin of the Russian Academy of Sciences: Physics, 64:10 (2000), 2075–2079 (in Russian)

[18] Bashkirov E. K., “Spontaneous radiation of two three-level atoms in lossless cavity”, Bulletin of the Russian Academy of Sciences: Physics, 68:9 (2004), 1292–1295 (in Russian)

[19] Bashkirov E. K., “Dynamics of phonon mode in superradiance regime of laser cooling of crystals”, Physics Letters A, 341:1–4 (2005), 345–351 (in English) | DOI