# Induced entanglement entropy of harmonic oscillators in non-commutative phase space

@article{Lin2018InducedEE, title={Induced entanglement entropy of harmonic oscillators in non-commutative phase space}, author={Bingsheng Lin and Jian Xu and Tai-Hua Heng}, journal={Modern Physics Letters A}, year={2018} }

We study the entanglement entropy of harmonic oscillators in non-commutative phase space (NCPS). We propose a new definition of quantum Rényi entropy based on Wigner functions in NCPS. Using the Rényi entropy, we calculate the entanglement entropy of the ground state of the 2D isotropic harmonic oscillators. We find that for some values of the non-commutative parameters, the harmonic oscillators can be entangled in NCPS. This is a new entanglement-like effect caused by the non-commutativity of…

## 5 Citations

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A Charged harmonic oscillator in a magnetic ﬁeld, Landau problems, and an oscillator in a noncommutative space, share the same mathematical structure in their Hamiltonians. We have considered a…

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We study the Connes spectral distance of quantum states and analyse the nonlocality of a 4D generalized noncommutative phase space. By virtue of the Hilbert–Schmidt operatorial formulation, we obtain…

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