Nonlinear Phenomena in Complex Systems, 2009, Vol.12, No.1, pp.16-26

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2009, Vol.12, No.1, pp.16-26

Functional Minimization Method Addressed to the Vacuum Finding for an Arbitrary Driven Quantum Oscillator.
S. V. Anischenko, S. L. Cherkas, and V. L. Kalashnikov

The old problem exists for a driven (time-dependent) quantum oscillator: to differ a true vacuum state from a squeezed one. We suggest finding of a 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.
Key words: quantum oscillator, true vacuum state

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