What Is the Double-Slit Experiment?
“Why does matter form an interference pattern when unobserved, but behave like particles when which-way information is monitored?”
The double-slit experiment demonstrates the central paradox of quantum mechanics. When particles such as electrons or photons are fired individually at a barrier with two slits, they build up an interference pattern on a detector screen over time, indicating that each particle's wavefunction propagates through both slits simultaneously. However, if an instrument is placed to detect which specific slit each particle passed through, the interference pattern immediately disappears, replaced by two classical particle bands.
Key Physical Principles at a Glance
- •Individual particles interfere with themselves: interference emerges even when particles are fired one by one.
- •Fringe visibility V and which-way distinguishability D obey the strict complementarity inequality: D² + V² ≤ 1.
- •The destruction of interference is caused by physical entanglement between the particle and the which-way detector, not by conscious awareness.
- •Wheeler's delayed-choice experiments show that deciding whether to measure the path after passing the slits still obeys the same complementary statistics.
Wavefunction Superposition and Path Distinguishability
Let |ψ_1⟩ and |ψ_2⟩ be the wavefunctions passing through slit 1 and slit 2. Without a path detector, the probability density on the screen is |ψ_1 + ψ_2|² = |ψ_1|² + |ψ_2|² + 2 Re(ψ_1* ψ_2). The cross-term 2 Re(ψ_1* ψ_2) produces the alternating bright and dark interference fringes. If the particle interacts with a detector |d_0⟩ such that |ψ_1⟩|d_0⟩ → |ψ_1⟩|d_1⟩ and |ψ_2⟩|d_0⟩ → |ψ_2⟩|d_2⟩ with orthogonal detector states ⟨d_1|d_2⟩ = 0:
Milestones in Double-Slit Physics
Originally performed with light by Thomas Young in 1801, the experiment has been repeated with single photons, single electrons, neutrons, helium atoms, and large organic molecules containing hundreds of atoms.
What This Principle Does NOT Mean
How This Relates to the Measurement Problem
The double-slit experiment is the cleanest visual embodiment of the Measurement Problem: whenever a physical record exists that distinguishes alternative paths, accessible quantum interference between those alternatives is strictly suppressed.