Statistical Properties of Schrödinger Real and Imaginary Cat States

Abstract

We study the Photon statistics in the superpositions of coherent states $|\alpha ⟩$ and $|{\alpha }^{\ast }⟩$ named ``Schrödinger real and imaginary cat states''. The oscillatory character of photon distribution function (PDF) emerging due to the quantum interference between the two components is shown, and the phenomenon of the quadrature squeezing is observed for the moderate values of $|\alpha |\sim 1$. Despite the quantity $⟨△n^2⟩/⟨n⟩$ tends to the unit value (like in the Poissonian PDF) at $|\alpha |\gg 1$, the photon statistics is essentially non-Poissonian for all values of $|\alpha |$. The factorial moments and cumulants of the PDF are calculated, and the oscillations of their ratio are demonstrated.

13 pages, LaTEX

References in corpus (4)

• Photon distribution for one mode mixed light with generic gaussian Wigner function
• Photon statistics of multimode even and odd coherent light
• Thermal noise and oscillations of photon distribution for squeezed and correlated light
• Strong oscillations of cumulants of photon distribution function in slightly squeezed states

Cited by in corpus (2)

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• Complementary Resource Relation of Concurrence and Roughness for atwo Qubits State