Using entangled particles in the double-slit experiment can indeed lead to interesting outcomes, but the specific result depends on the details of the experiment and the interpretation of quantum mechanics being considered. Let's explore two possible scenarios:
Standard Interpretation (e.g., Copenhagen interpretation): In the standard interpretation of quantum mechanics, if you use entangled particles in the double-slit experiment and measure the spin of one particle, it would generally not affect the interference pattern observed by the other entangled particle passing through the slits. This is because the measurement of one particle's spin would not directly influence the wave-like behavior of the other particle. The entangled particles are still expected to exhibit an interference pattern, resulting in a pattern of alternating light and dark fringes on the screen behind the slits.
Many-Worlds Interpretation: In the Many-Worlds interpretation (MWI) of quantum mechanics, each possible outcome of an experiment corresponds to a different branch or universe. According to MWI, when you measure the spin of one entangled particle, it leads to the creation of multiple parallel universes, each containing a different spin value for that particle. In this interpretation, the interference pattern observed by the other particle passing through the slits might be affected due to the entanglement with the measured particle. The specific outcome in each branch of the many-worlds would correspond to a different interference pattern.
It's important to note that the precise behavior and interpretation of entangled particles in the double-slit experiment are still subjects of ongoing research and investigation. Different interpretations may offer different explanations and predictions regarding the behavior of entangled particles and the resulting interference patterns.
Experimental studies on the behavior of entangled particles in the double-slit experiment are continuously being conducted to explore the intricate nature of quantum mechanics and further our understanding of entanglement and its consequences.