Results 11 to 20 of about 15,069 (140)
Variational approach to multimode nonlinear optical fibers. [PDF]
NanophotonicsAbstract We analyze the spatiotemporal solitary waves of a graded‐index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one‐dimensional Lagrangian associated with the Laguerre–Gauss modes with a generic radial mode number p and azimuthal index m.
Lorenzi F, Salasnich L.
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Orbital frontiers: harnessing higher modes in photonic simulators. [PDF]
NanophotonicsAbstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Noh J, Schulz J, Benalcazar W, Jörg C.
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The Generalized Point-Vortex Problem and Rotating Solutions to the Gross-Pitaevskii Equation on Surfaces of Revolution [PDF]
, 2014 We study the generalized point-vortex problem and the Gross-Pitaevskii equation on surfaces of revolution. We find rotating periodic solutions to the generalized point-vortex problem, which have two two rings of $n$ equally spaced vortices with degrees $\
Chen, Ko-Shin
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Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
SciPost Physics, 2022 Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a ...
Jakub Kopyciński, Maciej Łebek, Maciej Marciniak, Rafał Ołdziejewski, Wojciech Górecki, Krzysztof Pawłowski
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Conserved energies for the one dimensional Gross-Pitaevskii equation [PDF]
, 2019 We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the energy space, which is a complete metric space equipped with a newly introduced metric and with the energy norm describing the $H^s$ regularities of the ...
Koch, Herbert, Liao, Xian
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Comparison of Splitting Methods for Deterministic/Stochastic Gross–Pitaevskii Equation
Mathematical and Computational Applications, 2019 In this paper, we discuss the different splitting approaches to numerically solvethe Gross–Pitaevskii equation (GPE). The models are motivated from spinor Bose–Einsteincondensate (BEC).
Jürgen Geiser, Amirbahador Nasari
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Turbulence in the two-dimensional Fourier-truncated Gross–Pitaevskii equation
New Journal of Physics, 2013 We undertake a systematic, direct numerical simulation of the two-dimensional, Fourier-truncated, Gross–Pitaevskii equation to study the turbulent evolutions of its solutions for a variety of initial conditions and a wide range of parameters.
Vishwanath Shukla +2 more
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Nonlinear quantum search using the Gross–Pitaevskii equation
New Journal of Physics, 2013 We solve the unstructured search problem in constant time by computing with a physically motivated nonlinearity of the Gross–Pitaevskii type. This speedup comes, however, at the novel expense of increasing the time-measurement precision.
David A Meyer, Thomas G Wong
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Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle [PDF]
, 2006 Using stationary solutions of the linearized two-dimensional Gross-Pitaevskii equation, we describe the ``ship wave'' pattern occurring in the supersonic flow of a Bose-Einstein condensate past an obstacle.
A. Gammal +6 more
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Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation
Physical Review Research, 2019 Dipolar quantum droplets are exotic quantum objects that are self-bound due to the subtle balance of attraction, repulsion, and quantum correlations. Here we present a systematic study of the critical atom number of these self-bound droplets, comparing ...
Fabian Böttcher +10 more
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