Entanglement of atoms succesively passing a cavity taking into account the Stark shift
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 115-124 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the article we consider the influence of dynamical Stark shift on entanglement degree of two atoms with degenerate two-photon transitions successively passing an ideal one-mode cavity. We suppose that the field be prepared in vacuum state and the atoms be prepared in coherent superposition of excited and ground states. Thus it was also supposed that atoms fly by the cavity for identical time. On the basis of exact expression of evolution operator we carried out atom-atom entanglement for different values of two-atom coherence parameters and different values of cavity flight time. It is shown that Stark shift of energy levels can be used for effective control on a degree of atomic entanglement.
Keywords: two-level atom, qubit, vacuum field, degenerate two-photon transitions, Stark shift, atomic coherence
Mots-clés : atomic entanglement, entanglement control.
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     author = {E. K. Bashkirov},
     title = {Entanglement of atoms succesively passing a cavity taking into account {the~Stark} shift},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
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E. K. Bashkirov. Entanglement of atoms succesively passing a cavity taking into account the Stark shift. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 115-124. http://geodesic.mathdoc.fr/item/VSGU_2014_7_a10/

[1] Buluta I., Ashhab S., Nori F., “Natural and artificial atoms for quantum computation”, Rep. Prog. Phys., 74 (2011), 104401 | DOI

[2] Nelson K. D., Li X., Weiss D. S., “Imaging single atoms in a three-dimensional array”, Nature Phys., 3 (2007), 556–560 | DOI

[3] H. Hagley et al., “Generation of Einstein–Podolsky–Rosen pairs of atoms”, Phys. Rev. Lett., 79:1 (1997), 1–5 | DOI

[4] A. Rauschenbeutel et al., “Step-by-step engineered multiparticle entanglement”, Science, 288 (2000), 2024–2028 | DOI

[5] Ghosh B., Majumdar A. S., Nayak N., “Effects of cavity-field statistics on atomic entanglement in the Jaynes–Cummings model”, Int. J. Quant. Inf., 5 (2007), 169–178 | DOI

[6] Bashkirov E. K., Nikiforova Yu. A., “Entanglement between two atoms succesevely passing a cavity induced by thermal noise”, Computer Optics, 36:4 (2012), 468–473 (in Russian) | MR

[7] Bashkirov E. K., Nikiforova Y. A., “Entanglement for atoms with degenerate two-photon transitions successively passing the thermal cavity”, Proc. of SPIE, 8699, 2013, 86990V | DOI

[8] Ghosh B., Majumdar A. S., Nayak N., “Control of atomic entanglement by the dynamic Stark effect”, J. Phys. B: At. Mol. Opt. Phys., 41 (2008), 065503 | DOI

[9] Bashkirov E. K., “Entanglement in degenerate two-photon Tavis–Cummings model”, Physica Scripta, 82 (2010), 015401 | DOI | Zbl

[10] Bashkirov E. K., Nikiforova Yu. A., “Influence of Stark shift on entanglement of two atoms with degenerate two-photon transitions”, Vestnik of Samara State University. Natural Science Series, 2012, no. 6(97), 174–178 (in Russian) | Zbl

[11] Bashkirov E. K., Rusakova M. S., “Entanglement for two-atom Tavis–Cummings model with degenerate two-photon transitions in the presence of the Stark shift”, Optik, 123:19 (2012), 1694–1699 | DOI

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

[13] 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) | MR | Zbl

[14] 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”, Opt. Commun., 313 (2014), 170–174 | DOI

[15] Bashkirov E. K., Mastyugin M. S., “The Influence of Dipole-Dipole Interaction and Atomic Coherence on the Entanglement of Two Atoms with Degenerate Two-Photon Transitions”, Optics and Sceptroscopy, 116:4 (2014), 678–683 | DOI

[16] Vedral V., Introduction in quantum information science, Oxford University Press, New York, 2006, 182 pp. | Zbl

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

[18] Bashkirov E. K., “Spontaneous radiation of two three-level atoms in finite-Q cavity”, Bulletin of the Russian Academy of Sciences. Series: 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 (2005), 345–351 | DOI