# Entanglement in a model for Hawking radiation: An Application of Quadratic Algebras

**Authors:** Bindu A. Bambah, C. Mukku, T. Shreecharan, K. Siva Prasad  
**arXiv:** [1204.2122](https://arxiv.org/abs/1204.2122)  
**Date:** 2012-04-10  
**Summary page:** https://www.summarizepaper.com/en/paper/1204.2122v2/

## Key points

- Authors explore the use of quadratic polynomially deformed $su(1,1)$ and $su(2)$ algebras in model Hamiltonians
- Provide exact solutions for gravitational system involving black holes and radiation processes
- Analyze long-term behavior of the system
- Calculate bipartite entanglement entropies for different subsystems within models
- Explore superradiance within their model and draw parallels with atomic Dicke superradiance

## Summary

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In their paper titled "Entanglement in a Model for Hawking Radiation: An Application of Quadratic Algebras," authors Bindu A. Bambah, C. Mukku, T. Shreecharan, and K. Siva Prasad explore the use of quadratic polynomially deformed $su(1,1)$ and $su(2)$ algebras in model Hamiltonians to investigate the gravitational system involving black holes and radiation processes. By utilizing these mathematical tools, the researchers provide exact solutions for this complex system and analyze its long-term behavior. They also calculate bipartite entanglement entropies for different subsystems within their models, shedding light on potential modifications in the nature of Hawking radiation over time. Additionally, the paper delves into exploring superradiance within their model and drawing parallels with atomic Dicke superradiance to deepen our understanding of how certain phenomena observed in quantum systems can manifest in gravitational contexts. Overall, this research contributes to advancing our comprehension of complex gravitational systems by utilizing innovative mathematical frameworks and drawing connections to established principles in quantum physics.