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Relevant and irrelevant nonlinear Schrödinger equations

Contributeurs/tricesGisin, Nicolas; Rigo, Marco
Publié dansJournal of Physics. A, Mathematical and General, vol. 28, p. 7375-7390
Date de publication1995
Résumé

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.

Citation (format ISO)
GISIN, Nicolas, RIGO, Marco. Relevant and irrelevant nonlinear Schrödinger equations. In: Journal of Physics. A, Mathematical and General, 1995, vol. 28, p. 7375–7390.
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Identifiants
  • PID : unige:99710
ISSN du journal0305-4470
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Première validation22.11.2017 14:39:00
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