Nonclassicality versus entanglement in a noncommutative space

Abstract

In a setting of noncommutative space with minimal length we confirm the general assertion that the more nonclassical an input state for a beam splitter is, the more entangled its output state becomes. By analysing various nonclassical properties we find that the odd Schrödinger cat states are more nonclassical than the even Schrödinger cat states, hence producing more entanglement, which in turn are more nonclassical than coherent states. Both the nonclassicality and the entanglement can be enhanced by increasing the noncommutativity of the underlying space. In addition we find as a by-product some rare explicit minimum uncertainty quadrature and number squeezed states, i.e. ideal squeezed states.

15 pages, 7 figures

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• Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum
• Generalized photon-subtracted squeezed vacuum states
• Induced entanglement entropy of harmonic oscillators in noncommutative phase space
• Squeezed atom laser for Bose-Einstein condensate with minimal length
• Higher order nonclassicality from nonlinear coherent states for models with quadratic spectrum
• An introductory review on resource theories of generalized nonclassical light
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• On completeness of coherent states in noncommutative spaces with generalised uncertainty principle
• Enhanced quantum phase estimation with $q$-deformed nonideal nonclassical light
• Dynamic noncommutative BTZ black holes