If entangled particles are used in the double-slit experiment, and the spin of one particle is measured while the other particle is sent through the slits, the overall outcome would still be an interference pattern. The presence of entanglement does not alter the interference pattern observed in the experiment.
The double-slit experiment is a classic experiment in quantum mechanics that demonstrates the wave-particle duality of matter and the phenomenon of interference. When a stream of particles, such as electrons or photons, passes through two parallel slits, an interference pattern emerges on the screen behind the slits. This pattern arises due to the wave-like nature of the particles, as they exhibit constructive and destructive interference when passing through the slits.
If entangled particles are used in this experiment, the entanglement itself does not directly affect the interference pattern. The entanglement between particles establishes correlations between their properties, such as their spins. When the spin of one particle is measured, it collapses into a definite value, and the spin of the other entangled particle becomes correlated accordingly. However, this measurement does not disrupt the wave-like behavior of the particle passing through the slits.
The interference pattern arises from the superposition of multiple possible paths that the particle can take as a wave. The measurement of the spin of one entangled particle does not change the wave-like nature of the other particle passing through the slits, and it will still exhibit interference and contribute to the overall interference pattern on the screen.
In summary, the use of entangled particles in the double-slit experiment, with the measurement of one particle's spin while the other passes through the slits, would still result in an interference pattern, consistent with the behavior of a wave-like particle. The entanglement itself does not alter the fundamental characteristics of the interference phenomenon.