Approximate solutions of the nonlinear Schrodinger equation for ground and excited states of Bose-Einstein condensates
نویسندگان
چکیده
منابع مشابه
Approximate Solutions of the Nonlinear Schrödinger Equation for Ground and Excited States of Bose-Einstein Condensates
I present simple analytical methods for computing the properties of ground and excited states of Bose-Einstein condensates, and compare their results to extensive numerical simulations. I consider the effect of vortices in the condensate for both positive and negative scattering lengths, a, and find an analytical expression for the large-N0 limit of the vortex critical frequency for a > 0, by a...
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A pseudo-arclength continuation method (PACM) is proposed and employed to compute the ground state and excited state solutions of spin-1 Bose-Einstein condensates (BEC). A pseudo-arclength continuation method (PACM) is employed to compute the ground state and excited state solutions of spin-1 BoseEinstein condensates (BEC). The BEC is governed by the time-independent coupled Gross-Pitaevskii eq...
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In this paper, we review the mathematical and numerical studies of ground states and dynamics in rotating Bose-Einstein condensates (BEC). We start from the three-dimensional (3D) Gross-Pitaevskii equation (GPE) with an angular momentum rotation term, scale it to obtain a four-parameter model, reduce it to a 2D GPE in the limiting regime of strong anisotropic confinement and present its semicla...
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولRadially symmetric nonlinear states of harmonically trapped Bose-Einstein condensates
G. Herring, L. D. Carr, R. Carretero-González, P. G. Kevrekidis, and D. J. Frantzeskakis Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA Nonlinear Dynamical Systems Group,* Department of Mathematics and Statistics, and Computational Science Research Center, ...
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ژورنال
عنوان ژورنال: Journal of Research of the National Institute of Standards and Technology
سال: 1996
ISSN: 1044-677X
DOI: 10.6028/jres.101.054