A Entangled particles in curved spacetime

Heidi
Messages
420
Reaction score
40
i do not know if the question about entangled particles has found mainstream answers;
Suppose that pairs of maximally entangled particles are shared by Bob and Alice in a time independant gravitational field. Bob measures the spin in the direction of far fixed stars. There is a direction in which Alice would get the same results. how to find it ? with a parallel transport? in the direction of the same fixed stars?
 
  • Like
Likes atyy, martinbn and Demystifier
Physics news on Phys.org
To answer this, entanglement is not important. You can consider just one particle prepared initially in the state ##|+_z\rangle##, where ##z## denotes the ##z##-direction with respect to some local tetrad defined at the place where the particle is prepared. The particle is then moved to some other position in spacetime and the goal is to find the state after moving the particle. For that purpose you must solve the wave equation (e.g. Dirac equation for spin 1/2) in curved spacetime. I would guess the final answer can be approximated with a result obtained by parallel transport along the semiclassical trajectory of the particle, but I'm not certain about that.
 
  • Like
Likes atyy and PeroK
Atom interferometer https://en.wikipedia.org/wiki/Atom_interferometer is used as sensor of gravity. Does it assure that gravity affects QM ? And do we know it quantitively ? Or is gravity effect on spin yet unknown ?
 
anuttarasammyak said:
Or is gravity effect on spin yet unknown ?
It's not unknown. For example, we know the Dirac equation in curved spacetime.
 
  • Informative
Likes anuttarasammyak
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
Back
Top