Geodesic
Photo-induced waves of the Bose condensate in optical superlattices
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 2, pp. 69-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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The dynamics of ultracold atoms loaded in an optical lattice (superlattice) is described in the article on the basis of the Bose–Hubbard model. Both linear and circular lattices are considered in terms of attractive and repulsive types of interaction between the bosons. The numerically observed quantum-mechanical current state of the Bose condensate atoms is due to a hopping transfer of the ultracold atoms caused by the excitation of the system by the biharmonic electromagnetic field under the Raman resonance condition. When the energy of interaction between the bosons is close to the energy of photoactivation, the boson current decreases, which may be the sign of the superfluidity-insulator phase transition. In the disordered linear chain of potentials, where the depth of optical potentials alters from one site to another, the current spreading over the sites of optical lattice is suppressed in the same way as in the Anderson localization effect.
Keywords: Bose–Einstein condensate, optical superlattice, biharmonic field, Raman resonance
Mots-clés : phase transition. 
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     author = {S. O. Elyutin},
     title = {Photo-induced waves of the {Bose} condensate in optical superlattices},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {69--76},
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S. O. Elyutin. Photo-induced waves of the Bose condensate in optical superlattices. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 2, pp. 69-76. http://geodesic.mathdoc.fr/item/UZKU_2010_152_2_a9/

[1] Berg-Sørensen K., Mølmer K., “Bose-Einstein condensates in spatially periodic potentials”, Phys. Rev. A, 58 (1998), 1480–1484 | DOI

[2] Greiner M., Mandel O., Esslinger T., Hänsch T. W., Bloch I., “Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms”, Nature, 415 (2002), 39–44 | DOI

[3] Abdullaev F. Kh., Tsoy E. N., Malomed B. A. et al., “Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management”, Phys. Rev. A, 68 (2003), 053606-1–053606-8 | DOI

[4] Elyutin S. O., “Ekho-otkliki ansamblya okhlazhdennykh atomov v opticheskikh reshetkakh”, Optika i spektroskopiya, 98 (2005), 680–692

[5] Buonsante P., Penna V., Vezzani A., “Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices”, Phys. Rev. A, 70 (2004), 061603(R)-1–061603(R)-4 | DOI

[6] Jaksch D., Bruder C., Cirac J. I., Gardiner C. W., Zoller P., “Cold bosonic atoms in optical lattices”, Phys. Rev. Lett., 81 (1998), 3108–3111 | DOI

[7] Maimistov A. I., “Nonlinear polariton waves in an optical double lattice with photo-induced transport of atoms”, Optics and spectroscopy, 97 (2004), 920–928 | DOI

[8] Jaksch D., Zoller P., “The cold atom Hubbard toolbox”, Ann. Phys., 315 (2005), 52–79 | DOI | Zbl

[9] Anderson B. P., Kasevich M. A., “Macroscopic quantum interference from atomic tunnel arrays”, Science, 282 (1998), 1686–1689 | DOI

[10] Anderson P. W., “Absence of diffusion in certain random lattices”, Phys. Rev., 109 (1958), 1492–1505 | DOI