site stats

Gross pitaevskii equation python

WebThe 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 … 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.

Derivation of the Gross-Pitaevskii equation and applications

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 … WebNov 15, 2007 · Programming language: C++, Python. Nature of problem: This software computes the stationary states of rotating Bose–Einstein condensates (BEC) modeled by the Gross–Pitaevskii equation (GPE). It implements a numerical method that is particularly effective for BEC with fast rotation and large nonlinearities. bridgeway recovery house coatesville https://solrealest.com

[2301.08275] quTARANG: A python GPE solver to study …

WebApr 3, 2024 · The numerical analyses of the lattice formation process in rotating superfluid helium-4 or ultracold atomic gases have been major topics in this field. Several computational schemes for the direct simulation of the Gross–Pitaevskii (GP) equation, a nonlinear Schrödinger equation for interacting bosons, have been developed over the … 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 … WebLe terme non-linéaire de l’équation de Gross-Pitaevskii impose une condition plus drastique, et on observe que prendre δt = δx2/64 est suffisant pour obtenir un schéma stable numériquement. Pour faire ce choix on fixe arbitrairement la résolution spatiale δx = 1/16, ce qui correspond à seize pixels par longueur d’onde de roton. can we still fell the imact of earl harbor

Ground state of the time-independent Gross–Pitaevskii equation

Category:Gross–Pitaevskii equation - Wikipedia

Tags:Gross pitaevskii equation python

Gross pitaevskii equation python

pygpe · PyPI

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. WebThe 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 …

Gross pitaevskii equation python

Did you know?

WebArticle The J-method for the Gross–Pitaevskii eigenvalue problem Cite 5 Recommendations 20th Jan, 2024 Adnan Majeed Beaconhouse National University … WebMay 1, 2003 · In this paper, we take the 3d Gross–Pitaevskii equation, make it dimensionless to obtain a four-parameter model, use (singular) perturbation theory to …

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. http://export.arxiv.org/pdf/1510.04407

WebAs the known analytical solutions to such an equation are scarce, the study of the GPE is approached numerically: in particular a pseudo-spectral method known as split-step Fourier method is studied… Show more A theoretical and numerical study of a non-linear Schrödinger equation known as Gross-Pitaevskii equation (GPE) is carried out.

WebThe 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 ...

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. bridgeway realty watertown nyWebMar 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 … can we still go to the moonWeblinear partial differential equation in three space dimensions with a spherically-symmetric trap. The Gross-Pitaevskii equation describes the properties of a dilute trapped Bose-Einstein condensate. Method of solution: The time-dependent Gross-Pitaevskii equation is solved by the split-step Crank-Nicolson method by discretizing in space and time. bridgeway recovery services einWebNov 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 ... bridgeway recovery house in coatesville paWebJun 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. bridgeway recovery salem oregonWebSep 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 … bridgeway recovery houseWebThe 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 ... bridgeway recovery salem