Quantifying nonlinearity of a quantum oscillator


Speaker: Nathan Shammah
When: Nov. 6 2012 11:00
Where: Multimediaraum, IQOQI Süd

This talk will address the quantification of nonlinearity of quantum oscillators and I will introduce two measures based on the properties of the ground state (GS) rather than on the form of the potential itself.The first measure is based on the non-Gaussianity (nG) of the GS, and the second measure is based on the Bures distance between the GS of the nonlinear oscillator and that of a reference quantum harmonic oscillator (qho). The measures are applied on a sample of significant nonlinear potentials and their properties are discussed in some details. Generalized nonlinearity measures based on the properties of states at thermal equilibrium will also be discussed.

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