Explore quantum Hall physics through interactive visualizations. Each simulation demonstrates key concepts with real-time parameter control.
About: Visualize Landau level wavefunctions ψₘ = zᵐe^(-|z|²/4l²ᵦ).
Higher m values show characteristic ring patterns. Enable coherent states to see displaced wavepackets.
Landau Level Parameters
m = 0
l_B = 15 nm
Coherent Superposition
|α| = 0.0
arg(α) = 0.0
Display Options
Scale = 2.0
Zoom = 1.0x
About: Coherent state ψ = exp(-|z|²/4l² + λz/l) showing
displaced Gaussian wavepacket. The probability density |ψ|² demonstrates minimum uncertainty.
Parameters
Re(λ) = 3.0
Im(λ) = 0.0
l = 15 nm
Zoom = 1.0x
Scale = 1.0
About: Classical charged particles follow cyclotron orbits with
frequency ωc = eB/m in a confined Hall bar geometry. Edge states form along boundaries.
Parameters
B = 5.0 T
v = 5×10⁴ m/s
Zoom = 1.0x
Particles:2/20 Cyclotron freq: ωc = 0.88 THz
About: Laughlin wavefunction Ψ = ∏ᵢ<ⱼ (zᵢ - zⱼ)^p exp(-Σᵢ|zᵢ|²/4l²).
Shows the probability density |Ψ|² demonstrating correlation holes and incompressible liquid structure.
About: Vortices are topological defects with phase winding 2πn around cores.
Color shows phase, brightness shows |ψ|². Vortex cores have suppressed amplitude.
Parameters
n = 1
Zoom = 1.0x
Amplitude = 0.6
Vortices:0 |
Total Charge:0
About: Berry phase γ = π(n₁n₂) from adiabatic vortex braiding.
Yellow vortex orbits white vortex, accumulating geometric phase each orbit.