Quantum Decoherence & Environmental Entanglement Simulator

Presets & Bath Setup

Preset Scenarios

Bath Temperature (K) 300 K

Scattering Rate (Hz) 45.5 Hz

Interaction Cross-Section σ 0.80

Simulated Propagation Time (ms) 1200 ms

Decoherence Rate Formula:

γ_D = N · σ · v_thermal
τ_D = 1 / γ_D

Interactions entangle path state |Ψ⟩ with environmental states |e₁⟩, |e₂⟩, destroying off-diagonal phase coherence.

Double-Path Chamber & Scatterer Bath Running

💡 Click/drag canvas to spawn localized scatterer field

Quantum State Summary & Coherence Proof Decohered (Classical Mixture)

Fringe Visibility (V)

0.096

Coherence |ρ₀₁|

0.048

Entanglement Entropy S

0.982

Decoherence Timescale τ_D

22.0 ms

The system wavepackets have scattered repeatedly off the background thermal bath. Phase information has leaked into environmental degrees of freedom, transforming quantum interference fringes into a classical Gaussian intensity distribution.

Reduced Density Matrix ρ

ρ₀₀ (Path 1) 0.500

ρ₀₁ (Coherence) 0.048

ρ₁₀ (Coherence) 0.048

ρ₁₁ (Path 2) 0.500

Von Neumann Entropy S(ρ)

0.982 / 1.000

0.0 = Pure Superposition | 1.0 = Max Mixed

Coherence Decay State

Decohered (Classical Mixture)

Physical Interpretation:

Off-diagonal terms ρ₀₁ decay as exp(-t / τ_D). High scatterer flux density entangles path states with scatterer momentum states, suppressing quantum interference without wavefunction collapse.