More from Chemistry
Other simulators in this category — or see all 62.
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.
CHSH Bell Inequality Test
Monte-Carlo of the singlet state |Ψ⁻⟩ at four measurement angles (a, a′, b, b′): the running estimate Ŝ approaches the Tsirelson bound 2√2 ≈ 2.828 at the canonical Bell angles (0°, 90°, 45°, −45°), violating the local-realist limit |S| ≤ 2 — quantum entanglement made statistically visible.
Hong–Ou–Mandel Two-Photon Dip
Two indistinguishable photons enter opposite ports of a 50/50 beam splitter and bunch into the same output: coincidence probability P_c(δτ) = ½(1 − V·exp(−(δτ/τ_c)²)) (Gaussian) or Lorentzian. Drag the delay δτ to walk through the dip; live Monte-Carlo converges to the analytic curve. Visibility V = indistinguishability.
Kronig–Penney Bands & Brillouin Zone
Periodic δ-comb model of a 1-D crystal: cos(ka) = cos(qa) + (P/qa) sin(qa). Find allowed energy bands and forbidden gaps from the |·|≤1 corridor, then watch each band fold into the first Brillouin zone k ∈ ±π/a. Free-electron parabola overlaid for reference.
Phonon Dispersion: 1-D Mass–Spring Chain
Monoatomic ω = 2√(K/m)|sin(ka/2)| or diatomic acoustic/optical branches from alternating masses; ω(k) and group velocity v_g = dω/dk in the first Brillouin zone with animated lattice snapshot.