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Dynamical disappearance of superposition states in the thermodynamic limit

It is shown that a macroscopic superposition state of radiation, strongly interacting with an ensemble of two-level atoms, is removed generating a coherent state describing a classical radiation field, when the thermodynamic limit is taken on the unitary evolution obtained by the Schroedinger equation. Decoherence appears as a dynamical effect in agreement with a recent proposal [M. Frasca, Phys. Lett. A 283, 271 (2001)]. To prove that this effect is quite general, we show that this same behavior appears when a superposition of two Fock number states is also considered. Higher order corrections are computed showing that this result tends to become exact in the thermodynamic limit. It appears as a genuine example of intrinsic collapse of the wave function.

preprint2003arXivOpen access

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