Now showing items 1-20 of 25

    • Algebraic bright and vortex solitons in defocusing media 

      Borovkova, Olga V.; Kartashov, Yaroslav V.; Malomed, Boris A.; Torner Sabata, Lluís (2011-08-15)
      Article
      Restricted access - publisher's policy
      We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as (1+|¿|¿) support one- and two-dimensional fundamental and higher-order bright ...
    • Asymmetric solitons and domain walls supported by inhomogeneous defocusing nonlinearity 

      Kartashov, Yaroslav V.; Lobanov, Valery E.; Malomed, Boris A.; Torner Sabata, Lluís (2013-12-01)
      Article
      Restricted access - publisher's policy
      We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright ...
    • Bright solitons from defocusing nonlinearities 

      Borovkova, Olga V.; Kartashov, Yaroslav; Torner Sabata, Lluís; Malomed, Boris A. (2011-09-19)
      Article
      Restricted access - publisher's policy
      We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give ...
    • Collective excitations of a one-dimensional quantum droplet 

      Tylutki, Marek; Astrakharchik, Grigori; Malomed, Boris A.; Petrov, D. S. (2020-05-21)
      Article
      Open Access
      We calculate the excitation spectrum of a one-dimensional self-bound quantum droplet in a two-component bosonic mixture described by the Gross-Pitaevskii equation (GPE) with cubic and quadratic nonlinearities. The cubic ...
    • Dynamics of one-dimensional quantum droplets 

      Astrakharchik, Grigori; Malomed, Boris A. (American Physical Society (APS), 2018-07-30)
      Article
      Open Access
      The structure and dynamics of one-dimensional binary Bose gases forming quantum droplets is studied by solving the corresponding amended Gross-Pitaevskii equation. Two physically different regimes are identified, corresponding ...
    • Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter 

      Kartashov, Yaroslav; Astrakharchik, Grigori; Malomed, Boris A.; Torner Sabata, Lluís (Nature, 2019-02-22)
      Article
      Open Access
      2D and 3D solitons and related states, such as quantum droplets, can appear in optical systems, atomic Bose–Einstein condensates (BECs) and liquid crystals, among other physical settings. However, multidimensional solitary ...
    • Metastability of quantum droplet clusters 

      Kartashov, Yaroslav V.; Malomed, Boris A.; Torner Sabata, Lluís (American Institute of Physics (AIP), 2019-05-14)
      Article
      Open Access
      We show that metastable ring-shaped clusters can be constructed from two-dimensional quantum droplets in systems described by the Gross-Pitaevskii equations augmented with Lee-Huang-Yang quantum corrections. The clusters ...
    • Non-standard Hubbard models in optical lattices: a review 

      Dutta, Omjyoti; Gajda, Mariusz; Lewenstein, Maciej; Lühmann, Dirk-Sören; Malomed, Boris A.; Sowiński, Tomasz; Zakrzewski, Jakub (IOP, 2015-05-28)
      Article
      Open Access
      Originally, the Hubbard model was derived for describing the behavior of strongly correlated electrons in solids. However, for over a decade now, variations of it have also routinely been implemented with ultracold atoms ...
    • Quantum versus mean-field collapse in a many-body system 

      Astrakharchik, Grigori; Malomed, Boris A. (2015-10-29)
      Article
      Open Access
      The recent analysis, based on the mean-field approximation (MFA), has predicted that the critical quantum collapse of the bosonic wave function, pulled to the center by the inverse-square potential in the three-dimensional ...
    • Robust soliton clusters in media with competing cubic and quintic nonlinearities 

      Mihalache, Dumitru; Mazilu, D; Crasovan, L.C.; Malomed, Boris A.; Lederer, F; Torner Sabata, Lluís (2003-10)
      Article
      Restricted access - publisher's policy
      Systematic results are reported for dynamics of circular patterns (“necklaces”), composed of fundamental solitons and carrying orbital angular momentum, in the two-dimensional model, which describes the propagation of light ...
    • Rotating vortex clusters in media with inhomogeneous defocusing nonlinearity 

      Kartashov, Yaroslav V.; Malomed, Boris A.; Vysloukh, Victor A.; Belic, Milivoj R.; Torner Sabata, Lluís (2017-02-01)
      Article
      Open Access
      We show that media with inhomogeneous defocusing cubic nonlinearity growing toward the periphery can support a variety of stable vortex clusters nested in a common localized envelope. Nonrotating symmetric clusters are ...
    • Self-trapping and splitting of bright vector solitons under inhomogeneous defocusing nonlinearities 

      Kartashov, Yaroslav; Vysloukh, Victor A.; Torner Sabata, Lluís; Malomed, Boris A. (2011-12-01)
      Article
      Restricted access - publisher's policy
      We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a sufficiently strong cross-phase-modulation ...
    • Soliton gyroscopes in media with spatially growing repulsive nonlinearity 

      Driben, Rodislav; Kartashov, Yaroslav; Malomed, Boris A.; Meier, Torsten; Torner Sabata, Lluís (2014-01-15)
      Article
      Open Access
      We find that the recently introduced model of self-trapping supported by a spatially growing strength of a repulsive nonlinearity gives rise to robust vortex-soliton tori, i.e., three-dimensional vortex solitons, with ...
    • Solitons in nonlinear lattices 

      Kartashov, Yaroslav V.; Malomed, Boris A.; Torner Sabata, Lluís (2011-04-14)
      Article
      Restricted access - publisher's policy
      This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modulation of the local ...
    • Solitons supported by spatially inhomogeneous nonlinear losses 

      Borovkova, Olga V.; Kartashov, Yaroslav; Vysloukh, Victor A.; Lobanov, Valery E.; Malomed, Boris A.; Torner Sabata, Lluís (2012)
      Article
      Restricted access - publisher's policy
      We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength grows with coordinate η (in one dimension) ...
    • Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling 

      Kartashov, Yaroslav V.; Malomed, Boris A.; Konotop, Vladimir V.; Lobanov, Valery E.; Torner Sabata, Lluís (OSA, 2015-03-11)
      Article
      Open Access
      We introduce a mechanism to stabilize spatiotemporal solitons in Kerr nonlinear media, based on the dispersion of linear coupling between the field components forming the soliton states. Specifically, we consider solitons ...
    • Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling 

      Kartashov, Yaroslav V.; Malomed, Boris A.; Konotop, Vladimir V.; Lobanov, Valery E.; Torner Sabata, Lluís (2015-03-15)
      Article
      Open Access
      We introduce a mechanism to stabilize spatiotemporal solitons in Kerr nonlinear media, based on the dispersion of linear coupling between the field components forming the soliton states. Specifically, we consider solitons ...
    • Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling 

      Kartashov, Yaroslav V.; Malomed, Boris A.; Konotop, Vladimir V; Lobanov, Valery E.; Torner Sabata, Lluís (2015-03-15)
      Article
      Restricted access - publisher's policy
      We introduce a mechanism to stabilize spatiotemporal solitons in Kerr nonlinear media, based on the dispersion of linear coupling between the field components forming the soliton states. Specifically, we consider solitons ...
    • Stable bright and vortex solitons in photonic crystal fibers with inhomogeneous defocusing nonlinearity 

      Lobanov, Valery E.; Borovkova, Olga V.; Kartashov, Yaroslav V.; Malomed, Boris A.; Torner Sabata, Lluís (2012-06-01)
      Article
      Restricted access - publisher's policy
      We predict that a photonic crystal fiber whose strands are filled with a defocusing nonlinear medium can support stable bright solitons and also vortex solitons if the strength of the defocusing nonlinearity grows toward ...
    • Stable spinning optical solitons in three dimensions 

      Mihalache, D D Mazilu I Towers; Mazilu, Dumitru; Crasovan, L.C.; Towers, I.; Buryak, A.V.; Malomed, Boris A.; Torner Sabata, Lluís; Pérez Torres, Juan; Lederer, F. (2002-02)
      Article
      Restricted access - publisher's policy
      We introduce spatiotemporal spinning solitons (vortex tori) of the three-dimensional nonlinear Schrödinger equation with focusing cubic and defocusing quintic nonlinearities. The first ever found completely stable ...