Induced entanglement entropy of harmonic oscillators in non-commutative phase space-Reference-Cited by-同舟云学术

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

Published:2019-10-28 Issue:33 Volume:34 Page:1950269
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Lin Bingsheng¹^ORCID,Xu Jian¹,Heng Taihua²

Affiliation:

1. School of Mathematics, South China University of Technology, Guangzhou 510641, P. R. China

2. School of Physics and Material Science, Anhui University, Hefei 230601, P. R. China

Abstract

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 the phase space.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319502699

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