Related simulators
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Sequential Stern–Gerlach
Two SG devices: P(up on SG₂) = cos²(θ/2) or sin²(θ/2) after |±z⟩ filter.
Stern–Gerlach Beam (Cartoon)
Silver-like beam through an inhomogeneous B-field: atoms deflect to two detectors illustrating S_z = ±ℏ/2.
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.
Wigner Function (Coherent vs Squeezed)
Phase-space quasi-probability W(x, p) for a single-mode Gaussian quantum state: coherent |α⟩, displaced-squeezed D(α)S(ξ)|0⟩, and thermal. The 1σ ellipse rotates by half the squeeze phase θ/2 and shrinks below the vacuum floor along one quadrature — the basic picture of CV quantum optics.
Heisenberg Product σ_x σ_p
Gaussian position and momentum widths with ℏ = 1; momentum “excess” over the minimum-uncertainty floor.
Rectangular Barrier Tunneling
Analytic transmission T(E) vs energy for a 1D barrier; tunneling below V₀ and resonances above (ℏ = m = 1).