Constructs coherent states for quantized EM field matching classical non-null torus knot solutions and computes their field, energy, helicity, and correlation observables in terms of knot parameters (n,m,l,s).
Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams
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Tomogram-based homodyne nonclassical area and sum tomographic entropy provide experimentally accessible quantifiers that track the onset, fractional revivals, and decay of nonclassicality in damped nonlinear optical media.
Absence of coherent superpositions in the coherent-state basis is a sufficient condition for Wigner function positivity, necessary and sufficient for cat states and limiting cases of higher-order cat states.
Boson correlations for states with well-behaved Glauber-Sudarshan P-representations are spurious statistical correlations due to Simpson's paradox from symmetry-breaking in ensemble averages over varying geometries.
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Coherent States of Non-Null Torus Knots
Constructs coherent states for quantized EM field matching classical non-null torus knot solutions and computes their field, energy, helicity, and correlation observables in terms of knot parameters (n,m,l,s).
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Tomogram-based quantifiers of nonclassicality dynamics in Kerr and cubic media
Tomogram-based homodyne nonclassical area and sum tomographic entropy provide experimentally accessible quantifiers that track the onset, fractional revivals, and decay of nonclassicality in damped nonlinear optical media.
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Operational criterion for Wigner function negativity
Absence of coherent superpositions in the coherent-state basis is a sufficient condition for Wigner function positivity, necessary and sufficient for cat states and limiting cases of higher-order cat states.
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Boson correlations are spurious for classical states
Boson correlations for states with well-behaved Glauber-Sudarshan P-representations are spurious statistical correlations due to Simpson's paradox from symmetry-breaking in ensemble averages over varying geometries.