Complete positivity of nonlinear evolution: A case study

Details Complete positivity of nonlinear evolution: A case study Complete positivity of nonlinear evolution: A case study

1997-08-15

arxiv.org/abs/quant-ph/9708029v3

Phys.Rev. A58 (1998) 128

Physics

Quantum Physics

extended version, 3 appendices added (on mixed states, projection postulate, nonlocality), to be published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.58.128

Simple Hartree-type equations lead to dynamics of a subsystem that is not completely positive in the sense accepted in mathematical literature. In the linear case this would imply that negative probabilities have to appear for some system that contains the subsystem in question. In the nonlinear case this does not happen because the mathematical definition is physically unfitting as shown on a concrete example.

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