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NewUniversity / research

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.

Launch Simulator
NewUniversity / research

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.

Launch Simulator
NewUniversity / research

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.

Launch Simulator
NewUniversity / research

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.

Launch Simulator
NewUniversity / research

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.

Launch Simulator
NewUniversity / research

Anderson Localization (1D Tight-Binding)

Random onsite disorder W on a 1-D chain: diagonalize H, plot |ψ|² eigenstates, IPR vs energy, and localization length estimates (RMS and exponential fit).

Launch Simulator