Related simulators
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Qubit Decoherence: Lindblad / T₁ T₂
Two-level Bloch master equation in the rotating frame with drive Ω, detuning Δ, T₁ relaxation and T₂ transverse decay. The Bloch vector spirals inside the sphere — the geometric picture of decoherence with live populations P(|0⟩), purity Tr ρ², and time traces of u_x, u_y, u_z.
Ramsey Fringes (Atomic Clock)
Separated-oscillating-fields sequence π/2 — τ — π/2 with detuning Δ and coherence T₂. Sweep τ or Δ to see P(|1⟩) = ½(1 − cosΔτ · e^{−τ/T₂}) — fringe period 2π/Δ, exponential T₂ envelope; the Bloch sphere animates each stage. Foundational to atomic clocks and Ramsey interferometry.
Landau Levels in a Magnetic Field
Charged particle in a uniform B-field: equally-spaced Landau ladder E_n = ℏω_c(n+½) with cyclotron frequency ω_c = qB/m, magnetic length ℓ_B = √(ℏ/qB) and orbit radius r_n = ℓ_B√(2n+1). Animated cyclotron orbit + linear-in-B fan diagram; the n_B = qB/h degeneracy underlies the quantum Hall effect.
Graphene Tight-Binding Band Structure
Honeycomb π tight binding: E(k) along Γ–M–K–Γ, Dirac cones at K and K′ when Δ=0, gap 2Δ from sublattice stagger, and a Brillouin-zone energy map.
Debye vs Einstein Heat Capacity
Molar C_V(T): Debye integral → T³ law at low T and 3R Dulong–Petit at high T; compare with Einstein single-frequency model and toggle curves on one plot.
Sequential Stern–Gerlach
Two SG devices: P(up on SG₂) = cos²(θ/2) or sin²(θ/2) after |±z⟩ filter.