q-deformed noncommutative cat states and their nonclassical properties

Abstract

We study several classical like properties of q-deformed nonlinear coherent states as well as nonclassical behaviours of q-deformed version of the Schrodinger cat states in noncommutative space. Coherent states in q-deformed space are found to be minimum uncertainty states together with the squeezed photon distributions unlike the ordinary systems, where the photon distributions are always Poissonian. Several advantages of utilising cat states in noncommutative space over the standard quantum mechanical spaces have been reported here. For instance, the q-deformed parameter has been utilised to improve the squeezing of the quadrature beyond the ordinary case. Most importantly, the parameter provides an extra degree of freedom by which we achieve both quadrature squeezed and number squeezed cat states at the same time in a single system, which is impossible to achieve from ordinary cat states.

arXiv comment12 pages, 5 figures

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• $q$-deformed quadrature operator and optical tomogram
• Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum
• Generalized photon-subtracted squeezed vacuum states
• On the deformed oscillator and the deformed derivative associated with the Tsallis q-exponential
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
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• Universality hypothesis breakdown at one-loop order
• Higher order nonclassicality from nonlinear coherent states for models with quadratic spectrum
• Transparency and enhancement in fast and slow light in $q$-deformed optomechanical system
• An introductory review on resource theories of generalized nonclassical light
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• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• Generalized para-Bose states
• On completeness of coherent states in noncommutative spaces with generalised uncertainty principle
• Nonclassicality and sub-Planck structures of photon subtracted compass states
• Enhanced quantum phase estimation with $q$-deformed nonideal nonclassical light
• Robustness of deformed catlike states under dissipative decoherence
• Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda {\varphi }^4$ scalar field theory
• Dynamic noncommutative BTZ black holes
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Wave packet dynamics of entangled q-deformed states
• Janus-faced tomograms and retrieval of quadrature moments for $q$-deformed states