Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations

TL;DR

This paper constructs entangled squeezed states in noncommutative spaces, showing they exhibit higher entanglement than classical quantum systems, with noncommutative parameters enhancing entanglement and revealing subtle nonclassical features.

Contribution

It explicitly constructs entangled states in noncommutative spaces and demonstrates how noncommutative parameters increase entanglement beyond standard quantum systems.

Findings

Noncommutative systems exhibit higher entanglement than usual quantum systems.

Noncommutative parameters serve as additional degrees of freedom to enhance entanglement.

Coherent states in noncommutative space show slight nonclassicality and produce less entanglement.

Abstract

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical systems. The noncommutative parameter provides an additional degree of freedom in the construction by which one can raise the entanglement of the noncommutative systems to fairly higher values beyond the usual systems. Despite of having classical-like behaviour, coherent states in noncommutative space produce little amount of entanglement and therefore they possess slight nonclassicality as well, which are not true for the coherent states of ordinary harmonic oscillator.