Journal article
Random Pure Gaussian States and Hawking Radiation
E Aurell, L Hackl, P Horodecki, RH Jonsson, M Kieburg
Physical Review Letters | AMER PHYSICAL SOC | Published : 2024
Abstract
A black hole evaporates by Hawking radiation. Each mode of that radiation is thermal. If the total state is nevertheless to be pure, modes must be entangled. Estimating the minimum size of this entanglement has been an important outstanding issue. We develop a new theory of constrained random symplectic transformations, based on the assumptions that the total state is pure and Gaussian with given marginals. In the random constrained symplectic model we then compute the distribution of mode-mode correlations, from which we bound mode-mode entanglement. Modes of frequency much larger than [kBTH(t)/ħ] are not populated at time t and drop out of the analysis. Among other relatively thinly popula..
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Grants
Awarded by NordForsk
Funding Acknowledgements
E. A. acknowledges support of the Swedish Research Council through Grant No. 2020-04980. L. H. acknowledges support by the Alexander von Humboldt Foundation and by the Grant No. 62312 from the John Templeton Foundation, as part of " The Quantum Information Structure of Spacetime" " Project (QISS) . R. H. J. gratefully acknowledges support by the Wenner-Gren Foundations and, in part, by the Wallenberg Initiative on Networks and Quantum Information (WINQ) . Nordita is supported in part by NordForsk. P. H. acknowledges support of the National Science Centre in Poland through the grant Maestro (No. 2021/42/A/ST2/0035) . M. K. acknowledges support by the Australian Research Council via Discovery Project Grant No. DP210102887 and the hospitality of RIMS during the workshop " Random Matrices and Applications" " (June 5-9, - 9, 2023) .