We consider the many-body quantum dynamics of systems of bosons interacting through a two-body potential N^{3β−1}V(N^{β}x), scaling with the number of particles N. For 0<1, we obtain a norm-approximation of the evolution of an appropriate class of data on the Fock space. To this end, we need to correct the evolution of the condensate described by the one-particle nonlinear Schrödinger equation by means of a fluctuation dynamics, governed by a quadratic generator.
Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics
Cenatiempo SMembro del Collaboration Group
;
2017-01-01
Abstract
We consider the many-body quantum dynamics of systems of bosons interacting through a two-body potential N^{3β−1}V(N^{β}x), scaling with the number of particles N. For 0<1, we obtain a norm-approximation of the evolution of an appropriate class of data on the Fock space. To this end, we need to correct the evolution of the condensate described by the one-particle nonlinear Schrödinger equation by means of a fluctuation dynamics, governed by a quadratic generator.File in questo prodotto:
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