Relevant and irrelevant nonlinear Schrödinger equations

Article Article scientifique Article Relevant and irrelevant nonlinear Schrödinger equations eng 1995 author Gisin Nicolas 23716 author Rigo Marco 27196 7375-7390 10.1088/0305-4470/28/24/030 0305-4470 First, we summarize the argument against deterministic nonlinear Schrodinger equations. We recall that any such equation activates quantum nonlocality in the sense that that information could be signalled in a finite time over arbitrarily large distances. Next we introduce a deterministic nonlinear Schrodinger equation. We justify it by showing that it is closest, in a precise sense, to the master equations for mixed states used to describe the evolution of open quantum systems. We also illustrate some interesting properties of this equation. Finally, we show that this equation can avoid the signalling problem if one adds noise to it in a precise way. Cases of both discrete and continuous noise are introduced explicitly and related to the density operator evolution. The relevance for the classical limit of the obtained stochastic equations is illustrated on a classically chaotic kicked anharmonic oscillator. Dewey 500.2 35 Groupe de physique appliquée 135 false Journal of Physics. A, Mathematical and General 28 75aaf941-ce49-4993-b99c-a3ced37d2cf3 Article (Published version) Restricted Scan_UNIGE_3996_001.pdf 6077641 application/pdf restrictedAccess Faculté des sciences / Section de physique / Groupe de physique appliquée

Title	Published in	Access level	OA Policy	Year	Views	Downloads

Relevant and irrelevant nonlinear Schrödinger equations	Journal of Physics. A, Mathematical and General			1995	460	0

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Rigo, Marco