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Matter-wave solitons with a minimal number of particles in a time-modulated quasi-periodic potential

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  • The two-dimensional (2D) matter-wave soliton families supported by an external potential are systematically studied, in a vicinity of the junction between stable and unstable branches of the families. In this case the norm of the solution attains a minimum, facilitating the creation of such excitation. We study the dynamics and stability boundaries for fundamental solitons in a 2D self-attracting Bose-Einstein condensate (BEC), trapped in an quasiperiodic optical lattice (OL), with the amplitude subject to periodic time modulation.
    Mathematics Subject Classification: Primary: 35C08, 35C99; Secondary: 65N99.


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  • [1]

    B. A. Malomed, Soliton Management in Periodic Systems (Springer: New York, 2006).


    A. Gaunt, R. Fletcher, R. Smith and Z. Hadzibabic, A superheated Bose-condensed gas, Nature Physics, 9, 271274 (2013).


    G. Burlak and B. A. Malomed, Dynamics of matter-wave solitons in a time-modulated two-dimensional optical lattice, Phys. Rev. A, 77, 053606 (2008).


    B. B. Baizakov, B. A. Malomed, and M. Salerno, Europhys. Lett., 63, 642 (2003); J. Yang and Z. H. Musslimani, Opt. Lett., 28, 2094 (2003); Z. H. Musslimani, and J. Yang, J. Opt. Soc. Am. B, 21, 973 (2004).


    B. B. Baizakov, B. A. Malomed and M. Salerno, Phys. Rev. A, 70, 053613 (2004); Eur. Phys. J. D, 38, 367 (2006); T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno, Physica D, 238, 1439 (2009).


    H. Sakaguchi and B. A. Malomed, Gap solitons in quasiperiodic optical lattices, Phys. Rev. E, 74, 026601 (2006).


    N. G. Vakhitov, A. A. Kolokolov and Izv. Vys. Uch. Zaved., Radiofizika, 16, 1020 (1973) [in Russian; English translation: Radiophys. Quant. Electr., 16, 783 (1975)]; L. Bergé, Wave collapse in physics: principles and applications to light and plasma waves, Phys. Rep. 303 (1998), 259 ; E. A. Kuznetsov and F. Dias, Bifurcations of solitons and their stability, Phys. Rep. 507 (2011), 43.


    G. Kalosakas, K. . Rasmussen and A. R. Bishop, Delocalizing Transition of Bose-Einstein Condensates in Optical Lattices, Phys. Rev. Lett., 89, 030402, 2002.


    B. B. Baizakov, B. A. Malomed and M. Salerno, in: Nonlinear Waves: Classical and Quantum Aspects, ed. by F. Kh. Abdullaev and V. V. Konotop, pp. 61-80 (Kluwer Academic Publishers: Dordrecht, 2004); also available at: https://www.researchgate.net/publication/226210036_Multidimensional_Solitons_and_Vortices_in_Periodic_Potentials.


    B. B. Baizakov, B. A. Malomed and M. Salerno, in: Nonlinear Waves: Classical and Quantum Aspects, ed. by F. Kh. Abdullaev, and V. V. Konotop, p. 61 (Kluwer Academic Publishers: Dordrecht, 2004).


    G. Burlak and A. Klimov, The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice, Phys. Lett. A, 369, 510 (2007).


    F. Dalfovo, S. Giorgini, and L. P. Pitaevskii, Theory of Bose-Einstein condensation in trapped gases, Rev. Mod. Phys., 71, 463 (1999).


    B. A. Malomed, D. Mihalache, F. Wise and L. Torner, J. Spatiotemporal optical solitons, Optics B: Quant. Semics. Opt., 7, R53 (2005).


    Y. V. Kartashov, B. A. Malomed and L. Torner, Solitons in nonlinear lattices, Rev. Mod. Phys., 83, 247 (2011).


    J. Yang and T. I. Lakoba, Accelerated imaginary-time evolution methods for the computation of solitary waves, Stud. Appl. Math. 120, 265 (2008).


    F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Discrete solitons in optics, Phys. Rep. 463, 1 (2008).


    J. Yang, Nonlinear waves in integrable and nonintegrable systems. (SIAM-USA, 2010).


    G. Burlak, B. A. Malomed, Matter-wave solitons with a minimal number of particles in two-dimensional quasiperiodic potentials. Phys. Rev. E, 85, 57601-57606 (2012).

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