Results 31 to 40 of about 33,314 (234)
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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Stochastic projected Gross-Pitaevskii equation [PDF]
Physical Review A, 2012 We have achieved the first full implementation of the stochastic projected Gross-Pitaevskii equation for a three-dimensional trapped Bose gas at finite temperature. Our work advances previous applications of this theory, which have only included growth processes, by implementing number-conserving scattering processes. We evaluate an analytic expression
Rooney, S. J. +2 more
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Hydrodynamic Limit of the Gross-Pitaevskii Equation [PDF]
Communications in Partial Differential Equations, 2014 We study dynamics of vortices in solutions of the Gross-Pitaevskii equation $i \partial_t u = Δu + \varepsilon^{-2} u (1 - |u|^2)$ on $\mathbb{R}^2$ with nonzero degree at infinity. We prove that vortices move according to the classical Kirchhoff-Onsager ODE for a small but finite coupling parameter $\varepsilon$.
Jerrard, Robert L., Spirn, Daniel
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Interacting helical traveling waves for the Gross–Pitaevskii equation [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2021 . We consider the 3D Gross-Pitaevskii equation i∂tψ +∆ψ + (1 − |ψ| )ψ = 0 for ψ : R× R → C and construct traveling waves solutions to this equation. These are solutions of the form ψ(t, x) = u(x1, x2, x3 −Ct) with a velocity C of order ε| log ε| for a ...
J. D'avila +3 more
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Stochastic fluctuations in the Gross–Pitaevskii equation [PDF]
Nonlinearity, 2007 Summary: We study from a mathematical point of view a model equation for a Bose-Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so-called Gross-Pitaevskii equation, with a quadratic potential with white noise fluctuations in time.
De Bouard, Anne, Fukuizumi, Reika
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Gradient Flow Finite Element Discretizations with Energy-Based Adaptivity for the Gross-Pitaevskii Equation [PDF]
Journal of Computational Physics, 2019 We present an effective adaptive procedure for the numerical approximation of the steady-state Gross-Pitaevskii equation. Our approach is solely based on energy minimization, and consists of a combination of gradient flow iterations and adaptive finite ...
Pascal Heid, B. Stamm, T. Wihler
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Vortices in nonlocal Gross–Pitaevskii equation [PDF]
Journal of Physics A: Mathematical and General, 2004 Second revision: small changes; 23 pages; 8 ...
Shchesnovich, V. S. +1 more
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Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions [PDF]
Computer Physics Communications, 2020 In this paper, we design a novel class of arbitrarily high-order structure-preserving numerical schemes for the time-dependent Gross-Pitaevskii equation with angular momentum rotation in three dimensions.
Jin-Chao Cui +2 more
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Scattering for the 3D Gross–Pitaevskii Equation [PDF]
Communications in Mathematical Physics, 2017 28 pages; Correct some mistakes, the main results remain the ...
Guo, Zihua +2 more
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Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks [PDF]
Computer Physics Communications, 2020 This paper is concerned with the numerical investigation of Quantum Turbulence (QT) described by the Gross-Pitaevskii (GP) equation. Numerical simulations are performed using a parallel (MPI-OpenMP) code based on a pseudo-spectral spatial discretization ...
Michikazu Kobayashi +6 more
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