Purification and scrambling in a chaotic Hamiltonian dynamics with measurements

Understand

Chaotic transverse-field Ising model with measurements exhibits interesting purification dynamics.

• Ensemble of non-unitary dynamics of a chaotic many-body system with measurements exhibits a purification phase transition.
• We numerically find that the law of the increase dynamics of the purity changes by projective measurements in the model.
• In order to study this behavior in detail, we construct the formalism of the tripartite mutual information (TMI) for non-unitary time evolution operator by using the state-channel map.