# Entanglement of higher-derivative oscillators in holographic systems

**Authors:** Hristo Dimov, Stefan Mladenov, Radoslav C. Rashkov, Tsvetan Vetsov  
**arXiv:** [1607.07807](https://arxiv.org/abs/1607.07807)  
**Date:** 2016-07-26  
**Summary page:** https://www.summarizepaper.com/en/paper/1607.07807v3/

## Key points

- Authors Dimov, Mladenov, Rashkov, and Vetsov explore quantum entanglement in coupled Pais-Uhlenbeck oscillators using thermo-field dynamics.
- The study focuses on computing entanglement entropy for scenarios involving two oscillators and a ring of $N$ coupled fourth-order Pais-Uhlenbeck oscillators.
- Entanglement entropy is influenced by temperatures, frequencies, and coupling parameters of harmonic oscillators' degrees of freedom.
- Instabilities in higher-derivative oscillators within AdS/CFT correspondence are discussed.
- The authors calculate the Fisher information metric for the interconnected system of coupled oscillators, delving into information geometry theory.
- This study advances understanding of quantum entanglement in complex oscillator systems and provides insights into holography and information geometry.

## Summary

In their paper titled "Entanglement of higher-derivative oscillators in holographic systems," authors Hristo Dimov, Stefan Mladenov, Radoslav C. Rashkov, and Tsvetan Vetsov delve into the intricate realm of quantum entanglement within coupled Pais-Uhlenbeck oscillators using thermo-field dynamics. The study focuses on computing the entanglement entropy for specific scenarios involving two oscillators and a ring of $N$ coupled Pais-Uhlenbeck oscillators of fourth order. Through their analysis, they highlight how the entanglement entropy is intricately tied to the temperatures, frequencies, and coupling parameters of various degrees of freedom associated with harmonic oscillators. Moreover, the authors shed light on the implications of instabilities observed in higher-derivative oscillators within the framework of AdS/CFT correspondence. This exploration adds a layer of complexity to understanding the behavior and interactions of these systems in holographic contexts. Additionally, they venture into information geometry theory by calculating the Fisher information metric for the interconnected system of coupled oscillators. This comprehensive study not only contributes to advancing our understanding of quantum entanglement in complex oscillator systems but also offers insights into broader theoretical frameworks such as holography and information geometry. The findings presented by Dimov et al. pave the way for further research and exploration at the intersection of quantum mechanics, thermodynamics, and theoretical physics.