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Towards experimentally studying some puzzles of Hawking radiation

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Abstract

We investigate the features of the non-corrected thermal (non-thermal) spectrum and the quantum corrected thermal (non-thermal) spectrum. We find that: (1) using the quantum corrected non-thermal spectra, the black hole radiation as tunneling is an entropy conservation process, and thus black hole evaporation process is unitary; (2) there are no obvious differences between all spectra except for near the Planck mass scale by comparing their average emission energies, average numbers of emissions and average emission energy fluctuations; (3) the energy covariances of Hawking radiations for all the thermal spectra are exactly zero, while they are nontrivial for all the non-thermal spectra. Especially, there are distinctly different maximums of energy covariances for the temperature-corrected and energy-corrected non-thermal spectra. Consequently, these differences provide a possible way towards experimentally analyzing whether the radiation spectrum of black hole is thermal or non-thermal with or without high order quantum corrections.

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Notes

  1. For \(D\) dimensional Schwarzschild black hole, the fundamental Planck scale is reduced depending on the compact space of volume \(V_{D-4}\), e.g., the reduced Planck scale \(M_P\sim 1\,\mathrm {TeV}\) with \(D=10\) and \(V_6\sim fm^6\) [40].

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11175065, 10935013; the National Basic Research of China under Grant No. 2010CB833004; the Hunan Provincial Natural Science Foundation of China under Grant No. 11JJ7001; Hunan Provincial Innovation Foundation For Postgraduate under Grant No. CX2012B202; the Construct Program of the National Key Discipline

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Authors and Affiliations

  1. Department of Physics, and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Zehua Tian & Jiliang Jing

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  1. Zehua Tian
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  2. Jiliang Jing
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Correspondence to Jiliang Jing.

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Tian, Z., Jing, J. Towards experimentally studying some puzzles of Hawking radiation. Gen Relativ Gravit 46, 1779 (2014). https://doi.org/10.1007/s10714-014-1779-y

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