Why does the temperature slider change the condensate density?

Below the critical temperature Tc the condensate fraction N0/N = 1 - (T/Tc)^3 sets what share of the wave function stays in the coherent ground state; the simulation rescales the amplitude of psi by the square root of that fraction every frame, so raising T thins the coherent peak until it vanishes entirely above Tc.

What creates the vortices when I raise the stir rate?

The stir slider adds a rotating quadrupole potential proportional to x*y*sin(2*omega*t) to the trap. Past a critical stir rate this perturbation nucleates quantised vortices — points where the density drops to zero and the phase winds by a multiple of 2 pi around the core, visible directly in the Phase view.

Home▸Quantum Physics▸Bose-Einstein Condensate (2D)

Bose-Einstein Condensate (2D)

2D Canvas companion to the Bose-Einstein Condensate simulation: the same Gross-Pitaevskii split-step Fourier solver, drawn as a flat density/phase field with live vortex, energy and condensate-fraction readouts.

Quantum Physics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

This 2D companion runs the identical Gross-Pitaevskii split-step Fourier solver as the 3D version — the same imaginary-time ground-state relaxation, the same real-time kinetic/potential splitting via FFT — but draws the wave function straight onto a plain canvas as a density or phase field instead of a rendered texture quad, so the underlying physics reads directly off the grid: watch the condensate fraction grow as temperature falls below T_c, the density profile broaden under stronger interactions, and quantised vortices nucleate when the stir rate is raised.

⚙ Under the hood

2D Canvas Gross-Pitaevskii solver: split-step Fourier time evolution on a 64×64 grid, imaginary-time ground-state relaxation, live vortex counting by phase winding, and energy/condensate-fraction readouts updated every frame.

BECGross-Pitaevskiisuperfluidityquantumsplit-step Fourier

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install