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Gross pitaevskii equation python

WebJan 19, 2024 · quTARANG: A python GPE solver to study turbulence in quantum systems Shawan Kumar Jha, Sachin Singh Rawat, Mahendra Kumar Verma, Pankaj Kumar Mishra quTARANG is a Python-based general-purpose Gross-Pitaevskii Equation (GPE) solver. It can solve GPE in 1D, 2D and 3D and has the ability to run on both CPU and GPU. WebSep 20, 2024 · A python package simulating the quasi-2D pseudospin-1/2 Gross-Pitaevskii equation with NVIDIA GPU acceleration. Introduction. spinor-gpe is high-level, object-oriented Python package for numerically solving the quasi-2D, psuedospinor (two component) Gross-Piteavskii equation (GPE), for both ground state solutions and real …

A python package simulating the quasi-2D pseudospin-1/2 Gross ...

WebMar 13, 2003 · We study the numerical solution of the time-dependent Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate (BEC) at zero or very low temperature. In preparation for the numerics we scale the 3d Gross-Pitaevskii equation and obtain a four-parameter model. Identifying `extreme parameter regimes', the model … Webnamely, Nonlinear Schrodinger (NLS) equation and Gross-Pitaevskii equation (GPE).¨ Method Active Learning is selecting data in an iterative fashion to improve model performance by maximizing infor-mation acquisition with limited training samples. AL adds a certain cleverness on which samples to choose to improve the model’s accuracy. compact mini desk with drawer https://taylormalloycpa.com

arXiv:1305.1093v1 [math.NA] 6 May 2013

WebMay 28, 2024 · A python package simulating the quasi-2D pseudospin-1/2 Gross-Pitaevskii equation with NVIDIA GPU acceleration. Introduction spinor-gpe is high … WebJan 10, 2013 · The Gross-Pitaevskii equation is discussed at the level of an advanced course on statistical physics. In the standard literature the Gross-Pitaevskii equation is … WebThe Gross-Pitaevskii equation is a nonlinear model equation for the order parameter or wavefunction of a Bose-Einstein condensate.It is similar in form to the Ginzburg-Landau equation and is sometimes referred to as a nonlinear Schrödinger equation.. A Bose-Einstein condensate (BEC) is a gas of bosons that are in the same quantum state, and … compact mini projector by minolta

Exact soliton solutions of the generalized Gross …

Category:Gross–Pitaevskii equation - Wikipedia

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Gross pitaevskii equation python

Validity of Gross–Pitaevskii solutions of harmonically confined …

Web# pyGPE - A simple set of Python script to solve the Gross-Pitaevskii # equation for BEC's in 1D and 2D using a modified version of # Visscher's method. WebA conservative finite-difference scheme for numerical solution of the Gross-Pitaevskii equation is proposed. The scheme preserves three invariants of the problem: the L2norm of the solution, the impulse functional, and the energy functional.

Gross pitaevskii equation python

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WebThe Gross-Pitaevskii equation, that is a nonlinear Schr odinger equation with cubic nonlinearity, can be deduced from the many-body quantum Hamiltonian of N identical spinless particles H^ = XN i=1 ~2 2m r2 i+ U(r ) + 1 2 XN i;j=1 i6=j V(r r j) ; (3) where U(r)is the external potential and V(r r0)is the inter-atomic potential. The time ...

WebAug 7, 2024 · The 3D Gross–Pitaevskii equation that describes a Bose–Einstein condensate of N atoms confined in a harmonic potential is. where a is the wave scattering length a of the two-body interaction and m the atom mass. ... To perform GPU programming of the GP equations we use Python libraries such as PyCUDA, ... The Gross–Pitaevskii equation (GPE, named after Eugene P. Gross and Lev Petrovich Pitaevskii ) describes the ground state of a quantum system of identical bosons using the Hartree–Fock approximation and the pseudopotential interaction model. A Bose–Einstein condensate (BEC) is a gas of bosons that are in the same quantum state, and thus can be described by the same wavefunction. A free quantum particle is described by a single-pa…

WebNov 1, 2014 · This paper presents GPELab (Gross-Pitaevskii Equation Laboratory), an advanced easy-to-use and flexible Matlab toolbox for numerically simulating many complex physics situations related to Bose ... WebA finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation Guillaume Vergeza,b, Ionut Danailaa,, Sylvain Auliacb, Fr´ed eric Hecht´ b aUniversite´ de Rouen, Laboratoire de Mathematiques´ Raphael¨ Salem, CNRS UMR 6085, Avenue de l’Universite,´ BP 12, F-76801 Saint-Etienne-du-Rouvray, France´

WebJan 19, 2024 · The Gross-Pitaevskii equation with white noise in time perturbations of the harmonic potential is considered. In this article we define a Crank-Nicolson scheme based on a spectral discretization and we show the convergence of this scheme in the case of cubic non-linearity and when the exact solution is uniquely defined and global in time.

WebThe Gross-Pitaevskii equation is a nonlinear model equation for the order parameter or wavefunction of a Bose-Einstein condensate.It is similar in form to the Ginzburg-Landau … eating insects instead of meatWebThe Gross–Pitaevskii equation and Bose–Einstein condensates 249 of the system is the creation of vortices, which can be seen as small twisters inside the liquid that behave quite differently from those observed in water, for example. These vortices have certain quantization properties (the velocity of the liquid cannot take any arbitrary ... eating insects is good for you ffdlWebSep 15, 2024 · A lattice Boltzmann model for the Gross-Pitaevskii equation is proposed in this paper. Some numerical tests for one- and two-dimensional Gross-Pitaevskii … eating insects national geographicWebMar 15, 2024 · We propose an efficient time-splitting compact finite difference method for Gross–Pitaevskii equation (GPE). In our method, we solve the GPE in time with time-splitting technique and in space by the compact finite difference method. To find the numerical solution of the resulting discretized system in one-dimension (1D), two … compact mirror bhumihttp://export.arxiv.org/pdf/1510.04407 eating insects is natural lawWebArticle The J-method for the Gross–Pitaevskii eigenvalue problem Cite 5 Recommendations 20th Jan, 2024 Adnan Majeed Beaconhouse National University … compact mirror john lewisWebJun 18, 2014 · We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonline... We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. eating insects healthy