Multipartite Correlations in Parikh-Wilczek Non-Thermal Spectrum

Abstract

In this study, we systematically investigate the multipartite correlations in the process of black hole radiation via the Parikh-Wilczek tunneling model. We examine not only the correlations among Hawking radiations but also the correlations between the emissions and the remainder of the black hole. Our findings indicate that the total correlation among emitted particles continues to increase as the black hole evaporates. Additionally, we observe that the bipartite correlation between the emissions and the remainder of the black hole initially increases and then decreases, while the total correlation of the entire system monotonically increases. Finally, we extend our analysis to include quantum correction and observe similar phenomena. Through this research, we aim to elucidate the mechanism of information conservation in the black hole information paradox.

Keywords: Hawking radiations; black hole information paradox; correlations.

Figure 1

The evolution of $\Delta {\mathcal{C}}_{E_i}^{total}$ with $E_{n+1}$ when $M-E_T=50$.

Figure 2

The evolution of ${\mathcal{C}}_{\mathcal{E}\mathcal{R}}^2$ with $E_T$ when $M=100$.