Modifications of the Page Curve from correlations within Hawking radiation

Alvi, Mishkat Al; Majumdar, Mahbub; Matin, Md. Abdul; Rahat, Moinul Hossain; Roy, A.

doi:10.1016/j.physletb.2019.134881

Cited by 2 publications

(2 citation statements)

References 30 publications

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“…It is also worth to stress that over the years many qudit models have been introduced to capture aspects of the black hole evaporation process [66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82]. In particular, a Page-like behavior in time for the entanglement entropy has already been observed in some of these [67,68,79,81].…”

Section: Introductionmentioning

confidence: 99%

A random unitary circuit model for black hole evaporation

Piroli

Sünderhauf

2020

J. High Energ. Phys.

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Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain 2-local random unitary circuits. We study both cases where the unitaries are chosen with and without a conserved U (1) charge and focus on two aspects of the dynamics. First, we study analytically and numerically the growth of the entanglement entropy of the system, showing that two different time scales appear: one is intrinsic to the internal dynamics (the scrambling time), while the other depends on the system-environment coupling. In the presence of a U (1) conserved charge, we show that the entanglement follows a Page-like behavior in time: it begins to decrease in the middle stage of the "evaporation", and decreases monotonically afterwards. Second, we study the time needed to retrieve information initially injected in the system from measurements on the environment qudits. Based on explicit numerical computations, we characterize such time both when the retriever has control over the initial configuration or not, showing that different scales appear in the two cases.

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Section: Introductionmentioning

confidence: 99%

A random unitary circuit model for black hole evaporation

Piroli

Sünderhauf

2020

J. High Energ. Phys.

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“…Since a BH, initially described as a pure state, could end up in a mixed state (this is actually the view of [1]), questions arise on the unitary evolution, as first noticed by Hawking [28] and then extensively discussed, from different points of view, see e.g., Refs. [29][30][31][32][33][34][35][36][37][38][39]. In particular, in Refs.…”

Section: Introductionmentioning

confidence: 99%

Bekenstein bound from the Pauli principle

2020

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Assuming that the degrees of freedom of a black hole are finite in number and of fermionic nature, we naturally obtain, within a second-quantized toy model of the evaporation, that the Bekenstein bound is a consequence of the Pauli exclusion principle for these fundamental degrees of freedom. We show that entanglement, Bekenstein, and thermodynamic entropies of the black hole all stem from the same approach, based on the entropy operator whose structure is the one typical of Takahashi and Umezawa's thermofield dynamics. We then evaluate the von Neumann black hole-environment entropy and noticeably obtain a Page-like evolution. We finally show that this is a consequence of a duality between our model and a quantum dissipativelike fermionic system.

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Modifications of the Page Curve from correlations within Hawking radiation

Cited by 2 publications

References 30 publications

A random unitary circuit model for black hole evaporation

A random unitary circuit model for black hole evaporation

Bekenstein bound from the Pauli principle

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