Decoherence and Phase Transitions in Quantum Dynamics

Gaveau, B.; Schulman, Lawrence S.

doi:10.1007/s10955-018-2214-7

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Decoherence and Phase Transitions in Quantum Dynamics

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Schulman, Lawrence S.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Gaveau, B., & Schulman, L. S. (2019). Decoherence and Phase Transitions in Quantum Dynamics. Journal of Statistical Physics, 174(4), 800-807. doi:10.1007/s10955-018-2214-7.

Cite as: https://hdl.handle.net/21.11116/0000-0003-C6D6-C

Abstract

A particle with internal degrees of freedom is in contact with a bath of photons (necessitating a relativistic treatment). The occurrence of decoherence is established and the density matrix is found to be diagonal in momentum space. In the case of non-trivial internal degrees of freedom and selection rules there is a first order phase transition separating those degrees of freedom. Finally, because probability amplitudes become probabilities, Einstein's proposal that more than one detector could respond to a signal is answered.