Entangled Biphoton In The Disordered Integrated Photonic Circuits

We investigate the quantum decay of entangled biphoton in integrated photonic circuits.Due to bound state in the continuum exists in periodic system,survival probability of symmetric biphoton will approach a certain stable value as the propagation distance increased.However,survival probability of antisymmetric biphoton will approach zero.We introduce disorder into the structure.We find bound state in the continuum exists steadily in the disordered system,and the interplay between bound state in the continuum and localized states which are induced by disorder leads to a novel phenomenon:a nearly complete quantum survival for the entangled biphoton respecting the antisymmetric exchange symmetry.This is in contrast to the complete vanishment in a periodic photonic system.Our article includes six chapters:The first chapter introduces the background related to this work,including integrated photonic circuits,entangled biphoton,quantum walk,and bound state in the continuum;The second chapter mainly introduce the model,the principle of forming bound states in the continuum.The third chapter discusses the properties of bound states in the continuum and the statistical properties of entangled biphoton in periodic integrated photonic circuit.The fourth chapter demonstrates the stability of bound states in the continuum in the disordered system.The fifth chapter describes the statistical characteristics of entangled biphoton in disorder structure and explains reasons for this phenomenon.The sixth chapter is the summary and prospect of this work.