Multistable Solitons in Higher-Dimensional Cubic-Quintic Nonlinear Schrödinger Lattices
TLDR
In this paper, the existence, stability, and mobility of fundamental discrete solitons in two-and three-dimensional nonlinear Schrodinger lattices with a combination of cubic self-focusing and quintic self-defocusing onsite nonlinearities were investigated.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 2009-01-15 and is currently open access. It has received 63 citations till now. The article focuses on the topics: Nonlinear Schrödinger equation & Soliton.read more
Citations
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Solitons in nonlinear lattices
TL;DR: In this paper, a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by nonlinear lattices is presented, with emphasis on perspectives for implementation of the theoretical predictions in the experiment.
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Non-linear waves in lattices: past, present, future
TL;DR: In this paper, a brief summary of various areas where non-linear waves have been emerging in the phenomenology of lattice dynamical systems is presented, including nonlinear optics, atomic physics, mechanical systems, electrical lattices, nonlinear metamaterials, plasma dynamics and granular crystals.
Multibreathers and homoclinic orbits in 1-dimensional nonlinear lattices
TL;DR: In this paper, a discretized nonlinear Schrodinger equation with only one Fourier mode (N=1) represented by a 2D map is considered, and it is shown how a one-Fourier-mode representation can be used to provide remarkably accurate initial conditions for the breather and multibreather solutions of the system.
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Semidiscrete Quantum Droplets and Vortices.
Xiliang Zhang,Xiaoxi Xu,Yiyin Zheng,Zhaopin Chen,Bin Liu,Chunqing Huang,Boris A. Malomed,Boris A. Malomed,Yongyao Li,Yongyao Li +9 more
TL;DR: The results provide the first realization of stable semidiscrete vortex QDs, including ones with multiple vorticity, and increase the number of sites in fundamental QDs and eventually replace vortex modes by fundamental or dipole ones.
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Snaking and isolas of localised states in bistable discrete lattices
TL;DR: In this paper, the existence of stable localised states in a discrete bistable Allen-Cahn equation is considered, where stable localized states are made possible by pinning to the underlying lattice; they do not exist in the equivalent continuum equation.
References
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Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms
TL;DR: This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system.
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Ultracold quantum gases in optical lattices
TL;DR: Optical lattices represent a fast-paced modern and interdisciplinary field of research as discussed by the authors, and they form powerful model systems of quantum many-body systems in periodic potentials for probing nonlinear wave dynamics and strongly correlated quantum phases, building fundamental quantum gates or observing Fermi surfaces.
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Discrete Spatial Optical Solitons in Waveguide Arrays
TL;DR: In this paper, the authors reported the observation of discrete spatial optical solitons in an array of 41 waveguides, where light was coupled to the central waveguide and when sufficient power was injected, the field was localized close to the input waveguiders and its distribution was successfully described by the discrete nonlinear Schrodinger equation.
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Discrete self-focusing in nonlinear arrays of coupled waveguides.
TL;DR: It is shown that a nonlinear array of coupled waveguides can exhibit discrete self-focusing that in the continuum approximation obeys the so-called nonlinear Schrödinger equation.
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Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
TL;DR: The dynamical phase diagram of a dilute Bose-Einstein condensate (BEC) trapped in a periodic potential is studied, pointing out that mean field effects lead to a coherent destruction of the interwell Bloch oscillations.