General Theorems on Decoherence in the Thermodynamic Limit

Details General Theorems on Decoherence in the Thermodynamic Limit General Theorems on Decoherence in the Thermodynamic Limit

2002-12-10

arxiv.org/abs/quant-ph/0212064v2

Phys.Lett.A308:135-139,2003

Physics

Quantum Physics

8 pages, no figures. Version accepted by Physics Letters A

Scientific paper

10.1016/S0375-9601(03)00028-8

We extend the results on decoherence in the thermodynamic limit [M. Frasca, Phys. Lett. A {\bf 283}, 271 (2001)] to general Hamiltonians. It is shown that N independent particles, initially properly prepared, have a set of observables behaving classically in the thermodynamic limit. This particular set of observables is then coupled to a quantum system that in this way decoheres so to have the density matrix in a mixed form. This gives a proof of the generality of this effect.

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