Higher order nonclassicality from nonlinear coherent states for models with quadratic spectrum

Abstract

Harmonic oscillator coherent states are well known to be the analogue of classical states. On the other hand, nonlinear and generalised coherent states may possess nonclassical properties. In this article, we study the nonclassical behaviour of nonlinear coherent states for generalised classes of models corresponding to the generalised ladder operators. A comparative analysis among them indicates that the models with quadratic spectrum are more nonclassical than the others. Our central result is further underpinned by the comparison of the degree of nonclassicality of squeezed states of the corresponding models.

arXiv comment10 pages, 4 figures, Published in the Special Issue: "Harmonic Oscillators In Modern Physics"

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• Comparison of lower order and higher order nonclassicality in photon added and photon subtracted squeezed coherent states
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• An introductory review on resource theories of generalized nonclassical light