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 S
Membro del Collaboration Group
;
2017

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.
quantum dynamics
effective equations
bosons
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/6974
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