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jerromyjon
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I'm curious if any matter/antimatter or electron/positron entanglement is possible in theory or has been attempted?
So can/do they test for correlation and violation of Bell's Inequality? Or is it just assumed they are entangled...Vanadium 50 said:Yes. B0 and anti-Bo mesons produced at CESR, PEP-II or KEK-B (only the last is still running) are entangled.
Violations of Bell's inequality don't show the presence or absence of entanglement; finding such violations is a sufficient but not a necessary condition for entanglement.jerromyjon said:So can/do they test for correlation and violation of Bell's Inequality? Or is it just assumed they are entangled...
That is exactly what I was trying to get at. If matter/matter entanglement were shown to violate Bell's inequality but matter/antimatter were shown never to violate it could it be concluded that entanglement is a chiral property?Nugatory said:Because some entangled systems do violate the inequality, we conclude that entanglement cannot be explained by such a theory.
Does this mean "static hidden variables"? As in pilot wave theory (which is non-local) it works as a static wavefunction encompassing entangled pairs? Sorry if what I'm asking about is obscure or unclear.Nugatory said:What Bell's theorem does show is that no local hidden variable theory can violate the inequality. Because some entangled systems do violate the inequality, we conclude that entanglement cannot be explained by such a theory.
I have no idea what you mean by "static hidden variables", but you are correct that pilot wave theory is non-local and therefore is not precluded by Bell's theorem.jerromyjon said:Does this mean "static hidden variables"? As in pilot wave theory (which is non-local) it works as a static wavefunction encompassing entangled pairs? Sorry if what I'm asking about is obscure or unclear.
The wavefunction calculated by the Schrödinger equation is static is what I mean, it does not change over time, correct? But are there any papers on dynamic local variables which I assume would be deterministic but I can't find anything by searching...Nugatory said:pilot wave theory is non-local and therefore is not precluded by Bell's theorem.
Ah, yes, I overlooked that point. Trying to simplify concepts in my head I tend to miss things now and then. Thanks everyone for your help.hilbert2 said:they have a changing phase for states with nonzero total energies.
jerromyjon said:it could it be concluded that entanglement is a chiral property?
I meant (for example) that the spin of atoms might have an asymmetrical component as in clockwise or anticlockwise rotation but I see the flaw in that line of thought.Vanadium 50 said:What do you mean by "chiral property" here? I don't think "chiral" means what you think it means.
HeavyWater said:I did not think a bound state with an attractive potential and non-identical particles could be entangled.
A bound state is one in which the potential can be chosen to go to zero at infinity and the total energy will be negative.HeavyWater said:Does this forum have consensus definitions of bound and entangled states?
HeavyWater said:What is Bothering me is that at infinity I end up with two separate wave functions that don't overlap
Positronium in the singlet state decays into 2 gammas (each of spin=1, polarized so that spin is conserved) and in the triplet state into 3 gammas. I believe it is the gammas that are entangled NOT the electron and positron in the bound state of positronium. Of course angular momentum is conserved in these decays.hilbert2 said:I think that if you manage to create an electron-positron pair by any means, the particles will be entangled to some extent just because momentum has to be conserved in pair production.
HeavyWater said:I believe it is the gammas that are entangled
HeavyWater said:NOT the electron and positron in the bound state of positronium
The good thing with science is that you have to make the definitions really clear. To say "I have an entangled state" is not accurate enough. It doesn't tell you what's entangled. So we have to say what is entangled!HeavyWater said:Thank you PeterDonis And Nugatory. Clearly, what I need is a DEFINITION of an entangled state and it looks like Nugatory has given this forum a definition. Let me think on this for a bit. I learn best by examples...Are you saying that Positronium is an entangled state? What is Bothering me is that at infinity I end up with two separate wave functions that don't overlap...so I no longer have an entangled state.
Matter/antimatter entanglement is a phenomenon where particles of matter and their corresponding antiparticles, which have opposite charges and characteristics, become linked in a quantum state. This means that any change to one particle will instantly affect the other, regardless of the distance between them.
Matter/antimatter entanglement is possible through the process of pair production, where a particle and its antiparticle are created simultaneously and share the same quantum state. This entanglement can also occur through high-energy collisions or interactions between particles and antiparticles.
One potential application of matter/antimatter entanglement is in quantum computing, where the entanglement of particles can be used to store and manipulate information. It can also be used in quantum teleportation, where the quantum state of one particle can be transferred to another particle at a different location.
Matter/antimatter entanglement is studied through experiments using high-energy particle accelerators, as well as through theoretical models and simulations. Researchers also use techniques such as quantum tomography to measure and analyze the entangled states of particles.
No, matter/antimatter entanglement does not allow for faster-than-light communication. While the entangled particles may appear to communicate instantaneously, this does not violate the speed of light as no information is actually being transmitted between them. Additionally, the entanglement is easily disrupted by external factors, making it unsuitable for practical communication purposes.