Emergence of Classicality from Initial Quantum World for Dissipative Optical Waves

Abstract

For light waves propagating in dissipative media, the emergence of classical characteristics from the initial quantum world is investigated. Two classicality measures of the system, which are the measure of the degree of (relative) classical correlation δ CC and that of the degree of quantum decoherence δ QD , are analyzed. The classicality conditions for both δ CC and δ QD are satisfied when the conductivity responsible for the energy dissipation is sufficiently high. We also investigated absolute classical correlations for the light in dissipative media. The measure of the degree of the absolute classical correlation in q-space,δ CC,q , exponentially increases with time, whereas that in the p-space, δ CC,p , exponentially decreases. Further, we have obtained an interesting result which is that the product between them does not vary over time:δ CC,qδCC,p = constant. This outcome is actually similar to that of the uncertainty relation between two conjugate variables, which gives an essential limitation in measurements of a quantum system. If we think that the emergence of classicality in a quantum information system disturbs the process of quantum information, exact knowledge for the mechanism of such classicality transition is necessary in order to cope with it.

Characteristics of Nonstatic Quantum Light Waves: The Principle for Wave Expansion and Collapse

“…We briefly survey the quantum characteristics of the damped waves that have been described in Refs. [31][32][33][34][35]. If we assume underdamping in this case, the wave functions are of the form [32][33][34]…”