LAUSR

DaeKil Park1,2∗ Department of Electronic Engineering, Kyungnam University, Changwon 631-701, Korea Department of Physics, Kyungnam University, Changwon 631-701, Korea Abstract We explore how the quantum entanglement is modified in the generalized uncertainty principle (GUP)-corrected quantum mechanics by introducing the coupled harmonic oscillator system. Constructing the ground state ρ0 and its reduced substate ρA = TrBρ0, we compute two entanglement measures of ρ0, i.e. EEoF (ρ0) = Svon(ρA) and Eγ(ρ0) = Sγ(ρA), where Svon and Sγ are the von Neumann and Rényi entropies, up to the first order of the GUP parameter α. It is shown that Eγ(ρ0) increases with increasing α when γ = 2, 3, · · · . The remarkable fact is that EEoF (ρ0) does not have first-order of α. Based on there results we conjecture that Eγ(ρ0) increases or decreases with increasing α when γ > 1 or γ < 1 respectively for nonnegative real γ.