Formation probabilities and Shannon information and their time evolution after quantum quench in transverse-field XY-chain

Understand

We first provide a formula to calculate the probability of occurrence of different configurations (formation probabilities) in a generic free fermion system.

• We then study the scaling of these probabilities with respect to the size in the case of critical transverse-field XY-chain in the $\sigma^z$ bases.
• In the case of the transverse field Ising model, we show that all the "crystal" configurations follow the formulas expected from conformal field theory (CFT).
• In the case of critical $XX$ chain, we show that the only configurations that follow the formulas of the CFT are the ones which respect the filling factor of the system.