Pseudo-Entropy in Free Quantum Field Theories

Pseudo entropy is an interesting quantity with a simple gravity dual, which generalizes entanglement such that it depends on both initial and final state. Here we reveal the basic properties of pseudo in quantum field theories by numerically calculating this for set two-dimensional free scalar Ising spin chain. We extend Gaussian method two parameters: mass $m$ dynamical exponent $z$. This computation finds novel conjecture to be universal theories, addition area law behavior. One saturation behavior other one non-positivity difference between averaged entropy. Moreover, our numerical results chain imply can play role as new order parameter detects whether states are same phase or not.