Investigating Quantum Entanglement Using Canonical Quantization and Scattering Theory

In this work, we propose two approaches of investigating quantum entanglement. In the first approach, canonical quantization with numerical mode decomposition is applied to in-homogeneous dispersive media. Nonlocal dispersion cancellation effect of energy-time-entangled photon pair is demonstrated. In the second approach, we study the effect of scattering on spatial-entangled photon pair from spontaneous parametric down-conversion. Schmidt number is calculated numerically. Migration of entanglement between amplitude and phase is studied.