By Foldi, P
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Additional info for Highly Nonclassical Quantum States and Environment Induced Decoherence
This implies that the coherent superposition of these states yields an appropriate model of the original paradox of Schr¨odinger. 10) will be called atomic Schr¨odinger cat states [7, 63, 100], see Fig. 1. Now we are going to present our results on the decoherence and dissipation dynamics of these type of states. 1: Scheme of an atomic Schr¨odinger cat state defined by Eq. 10). The points labeled by τ1 and τ2 represent the corresponding atomic coherent states on the surface of the Bloch-sphere.
The final plot in Fig. 4 36 DECOHERENCE OF MOLECULAR WAVE PACKETS indicates how the Wigner function represents the long way to thermal equilibrium with the environment: the distribution becomes wider and the hole in the middle disappears. It is expected that the loss of phase information has observable consequences. According to the Franck-Condon principle, the absorption spectrum of a molecule around the frequency corresponding to an electronic transition between two electronic surfaces depends on the vibrational state.
However, as it will be shown here, the same master equation describes also a much more interesting process. The continuous ”monitoring”  of the atomic system by the environment results in the total loss of the coherence of the quantum superpositions in the system. 3. 2 The initial stage of the time evolution In this section we apply the general concepts introduced in Sec. 2) which are relevant to the original problem of Schr¨odinger [1,2] concerning the unobservability of macroscopic superpositions.
Highly Nonclassical Quantum States and Environment Induced Decoherence by Foldi, P