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On Parametric Resonance in Quantum Many-Body System: -- Collective Motion and Quantum Fluctuation around It in Coupled Lipkin Model --
Author(s) -
Y. Tsue,
João da Providência,
A. Kuriyama,
M. Yamamura
Publication year - 2006
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.115.129
Subject(s) - physics , hamiltonian (control theory) , collective motion , parametric statistics , quantum , parametric oscillator , quantum mechanics , amplitude , classical mechanics , resonance (particle physics) , statistical physics , quantum electrodynamics , mathematical optimization , statistics , mathematics
The dynamics governed by a requantized collective Hamiltonian in the coupledLipkin model is investigated in the time-dependent variational approach withsqueezed state. It is pointed out that there is a possibility of the parametricresonance mechanism which leads to amplifying the amplitude of quantumfluctuation around the collective mode in this model.

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