2016/05/19 by Anaelle Hertz, Sanjib Dey, Véronique Hussin +1
Computer Science · Mathematics · Physics and Astronomy · #Coherent states #Harmonic oscillator #Mathematics #Nonlinear system #Order (exchange) #Physics #Quadratic equation #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Quantum optics and atomic interactions #Spectrum (functional analysis) #Statistical physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.3390/sym8050036
published as Symmetry 2016, 8(5), 36 · 10 pages, 4 figures, Published in the Special Issue: "Harmonic Oscillators In Modern Physics"
openalex publication_date 2016/05/19 · arxiv created 2016/06/01 · arxiv updated 2016/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.