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.

12 pages, 5 figures

References in corpus (4)

• Time-dependent q-deformed coherent states for generalized uncertainty relations
• Squeezed coherent states for noncommutative spaces with minimal length uncertainty relations
• PT-symmetric noncommutative spaces with minimal volume uncertainty relations
• Minimal areas from q-deformed oscillator algebras

Cited by in corpus (9)

• Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations
• Self-localized Solitons of a q-Deformed Quantum System
• Generalized photon-subtracted squeezed vacuum states
• Uncertainty relations for a non-canonical phase-space noncommutative algebra
• 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
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Dynamic noncommutative BTZ black holes
• Wave packet dynamics of entangled q-deformed states