Functional minimization method addressed to the vacuum finding for an arbitrary driven quantum oscillator

Details Functional minimization method addressed to the vacuum finding for an arbitrary driven quantum oscillator Functional minimization method addressed to the vacuum finding for an arbitrary driven quantum oscillator

2008-06-10

arxiv.org/abs/0806.1593v2

Nonlinear Phenomena in Complex Systems v.12 p.16-26 (2009)

Physics

Quantum Physics

9 pages

Scientific paper

The old problem exists for a driven (time-dependent) quantum oscillator: to
differ the true vacuum state from the squeezed one. We suggest finding the true
vacuum state by minimization of the functional containing the difference of the
potential and kinetic energies of oscillator. Analytical and numerical examples
confirming this offer are considered.

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