Shannon Entropic Entanglement Criterion in the Simple Harmonic Oscillator

• URL: http://arxiv.org/abs/2002.05858v1
• Date: Fri, 14 Feb 2020 03:35:50 GMT
• Title: Shannon Entropic Entanglement Criterion in the Simple Harmonic Oscillator
• Authors: Gardo Blado, Amanda Johnson, Otto Gadea, Francisco Herrera
• Abstract summary: We investigate the entanglement of a system of coupled harmonic oscillators. A simple form of entanglement criterion in terms of their interaction is found. It is shown that a pair of interacting ground state coupled oscillators are more likely to be entangled for weaker coupling strengths.
• Score: 10.492207608343675
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We apply the Walborn [Walborn S P, Taketani B G, Salles A, Toscano F and de Matos Filho R L 2009 Entropic Entanglement Criteria for Continuous Variables Phys. Rev. Lett. 103 160505] Shannon Entropic Entanglement Criterion (SEEC), to simple harmonic oscillators, a system typically discussed in undergraduate quantum mechanics courses. In particular, we investigate the entanglement of a system of coupled harmonic oscillators. A simple form of entanglement criterion in terms of their interaction is found. It is shown that a pair of interacting ground state coupled oscillators are more likely to be entangled for weaker coupling strengths while coupled oscillators in excited states entangle at higher coupling strengths. Interacting oscillators are more likely to be entangled as their interaction increases.

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