Correspondence between Entanglement Growth and Probability Distribution of Quasi-Particles

摘要

We study the excess of (Renyi) entanglement entropy in various free fieldtheories for the locally excited states defined by acting with local operatorson the ground state. It is defined by subtracting the entropy for the groundstate from the one for the excited state. Here the spacetime dimension isgreater than or equal to 4. We find a correspondence between entanglement and aprobability. The probability with which a quasi-particle exists in a subregiongives the excess of the entropy. We also propose a toy model which reproducesthe excess in the replica method. In this model, a quasi-particle created by alocal operator propagates freely and its probability distribution gives theexcess.