Microscopic derivation of a class of non-linear dissipative schrödinger-like equations

N. Gisin

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 1, 364-370

Abstract: The general formalism of master equations is used together with a projection which preserves the pure states to derive a class of non-linear Schrödinger-like equations. The result is applied to a spin-12 coupled to a bath of two-level systems and the Bloch equations are recovered. Finally we make a connection with Sz-Nagy's theorem on the dilations of contracting semi-groups.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:1:p:364-370

DOI: 10.1016/0378-4371(82)90101-7

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