Gross pitaevskii equation python
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 usually obtained in the framework of the second quantisation formalism, which in many cases goes beyond the material covered in many advanced undergraduate courses. 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 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 ... 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 …
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 … 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 …
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 … 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 …
WebGPUE is GPU accelerated software to solve the Gross-Pitaevskii equation for superfluid simulations of Bose–Einstein Condensates (BECs) with a particular emphasis on vortex …
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 ... rabbit smoke eaterThe 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… sho boy songWebSep 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 … shobra hotel nowshera canttWebA 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´ shoboy radio stationWebtions around the family of dark solitons to the one-dimensional Gross-Pitaevskii (GP) equation. Long-time behavior has been studied, speci cally the bright soliton case, in lit … rabbit smoking a pipe and pantherWebThe CFDM-AIF method is implemented to investigate the ground and first excited state solutions of the Gross-Pitaevskii equation in two-dimensional (2D) and three … shobpa meaningWebAug 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 … rabbits mites treatment