Bipartite temporal Bell inequalities for two-mode squeezed states

Understand

Bipartite temporal Bell inequalities are similar to the usual Bell inequalities except that, instead of changing the direction of the polariser at each measurement, one changes the time at which the measurement is being performed.

• By doing so, one is able to test for realism and locality, but relying on position measurements only.
• This is particularly useful in experimental setups where the momentum direction cannot be probed (such as in cosmology for instance).
• We study these bipartite temporal Bell inequalities for continuous systems placed in two-mode squeezed states, and find some regions in parameter space where they are indeed violated.