The 2022 Nobel physics prize
When it comes to what was the Nobel prize in physics all about, the answer is a bit hazy. We know it was for quantum mechanics, but which aspect of it? In this post we try to elucidate it. It all started in 1935 with a paper that Einstein, Podolsky and Rosen (EPR) published and that was expressing concerns about how quantum mechanics is an incomplete theory of describing the real world. In the heart of quantum mechanics we find the uncertainty about the properties of a subatomic particle. According to its view the particle has more than one values simultaneously, each described by a probability through its wavefunction. It is only when we measure the particle that the wavefunction "collapses" to one of the values of the property and gives us a definite answer. But before the measurement, the particle is in a superposition of values, all true with a certain probability, all true at the same time.
For the rest we will focus on one property of the particles called the spin that can only take the values "up" or "down". Experimental apparatus are able to generate a pair of subatomic particles that have always opposite spins and when we measure the one the other collapses into the opposite value. Since the pair was generated in this "entangled" state, the measurement of opposite spins will be the same no matter how far away each particle is from each other, that is what quantum mechanics claims. Now to go back into what EPR claimed in 1935 is that this was impossible. The only reason to measure the spins and find them opposite to each other is because they were always constantly so, from the moment that they were generated, and not because the particles communicated with each other at distance in some "spooky action" and collapsed at the same time. They claimed that the particles' spin was never uncertain but was a hidden and constant variable of the system that we only uncovered when measuring. But proving the truth of this statement against quantum mechanics view was a philosophical conundrum until 1964 that Bell entered the discussion. How can we prove that the particles have a superposition of spins if our only tool is to measure them and at all times that we measure the particle collapses to one and single state? It is as if saying that "I have green eyes every time you don't look but when you look at me they become blue". There is no way to prove the existence of green eyes at me.
Einstein and colleagues were not convinced by quantum mechanics probabilistic image of the world and condensed their thoughts into the above thought experiment, but Bell went a step further in 1964 and transferred their views into inequalities. A simple representation of what he did was the following: Assume that the particles have up and down spins not in one axis but in three axes. Now the particle is described by three spin numbers, one for each axis. Assume that we have a machine that generates entangled particles (with opposite spins in all axes) and then sends them to opposite directions at some distance where we have two measurement devices, one for each particle. Then the devices will measure the spin of each arriving particle, one spin value for a given axis, and will give an answer of "up" or "down" spin. The devices can measure only one spin at the same time, but they do not have to measure the same axis spin. Therefore they will give opposite spins when they measure the same axis or combinations of axis, but they will sometimes give the same spin (up-up or down-down) if they measure a combination of different axis. If we combine all the different ways that the two measuring devices can spit an output we will find it is 9 different outputs in total and that the cases of opposite spins are 5 or higher. That gives us a probability that if we repeat the experiment many times we will find opposite spin at least 5/9 times. This is "a Bell inequality" on the probability of opposite spins in entangled particles and gives a lower limit for its value, the 5/9. It accepts the EPR view of the world, as if the spins are predefined hidden variables, in order to be true. More inequalities like this can be thought of.
The three nobelists: Alain Aspect, John Clauser and Anton Zeilinger devised and improved experiments that made use of these Bell inequalities showing that they were all violated by the quantum particles, in various settings. In other words, the deterministic EPR view of the hidden variables was not confirmed when faced with statistical experimental data using quantum particles. Entangled particles showed behaviour of telecommunicating their properties at large distances in an effect relevant to quantum teleportation. The research on quantum information and cryptography, even on the quantum computer, blossomed, having as a starting point these experiments; And the proven uncertain nature of quantum particles continues to challenge the view of the Newtonian world that with our senses we are used to.
sources:
Brian Green, "Your daily equation", youtube https://www.youtube.com/watch?v=UZiwtfrisTQ
Physics today, Hill and Grant, Demonstrations of quantum entanglement earn the 2022 Nobel prize in physics, October 2022
Image credit: Yay Media AS/Alamy, New Scientist