Entanglement of amplitude and optical phase involved in the EPR eigenstate

摘要

By noticing that although single-mode Susskind-Glogower phase operator does not commute with photon number operator, two-mode nonlinear phase operator commutes with number-difference operator. We reveal that the common eigenstate [eta of two-particles' relative coordinate and total momentum involves the entanglement between phase and amplitude. We also reveal entanglement between number difference and amplitude inherent in the state D, eta], where D, eta] = integrald alpha /2 pieta = eta(ei alpha)]e(-iD alpha) is a deductive state of eta]. [References: 21]