Entropy evolution of moving mirrors and the information loss problem

Abstract

We investigate the entanglement entropy and the information flow of two-dimensional moving mirrors. Here we point out that various mirror trajectories can help to mimic different candidate resolutions to the information loss paradox following the semi-classical quantum field theory: (i) a suddenly stopping mirror corresponds to the assertion that all information is attached to the last burst, (ii) a slowly stopping mirror corresponds to the assertion that thermal Hawking radiation carries information, and (iii) a long propagating mirror corresponds to the remnant scenario. Based on such analogy, we find that the last burst of a black hole cannot contain enough information, while slowly emitting radiation can restore unitarity. For all cases, there is an apparent inconsistency between the picture based on quantum entanglements and that based on the semi-classical quantum field theory. Based on the quantum entanglement theory, a stopping mirror will generate a firewalllike violent emission which is in conflict with notions based on the semi-classical quantum field theory. *

Eternal and evanescent black holes and accelerating mirror analogs

“…These results for thermal energy emission are not only important in their own right as a "toolkit" for studying black hole evolution, but because of the close relation of energy flux with entanglement entropy. Future work will address this avenue for understanding the information content of black holes and mirrors [25,26], and the relation of the positive-only energy flux solution we have found (see Sec. VI A) to properties such as minimum black hole mass.…”

Spacetime Continuity and Quantum Information Loss

“…The resulting Equation (28) is the usual Planck distribution consistent with Equation (25). Further consistency of the result can be shown by using Equation (27) to obtain, via a numerical computation, the total energy,…”

“…The limit of the von-Neumann entanglement entropy [27] from the dynamics of Equation 5as a function of lab time t is found from the rapidity [6], η(t) = tanh −1ż (t), by using 6S(t) = η(t):…”

Effects of horizons on entanglement harvesting

“…Expressing the motion in terms of τ m , the proper time of the mirror, the radiation flux F , is simply 12πF (τ m ) = −w (τ m )e 2w(τm) , On the general principle of a universal asymptotic speed limit that remains time-like (as τ m → ∞, then w = ∞), asymptotic horizonless mirrors will therefore radiate a negative energy flux. Through the information-dynamics relationship [21,44,47,48] w = −6S, the time-like restriction corresponds to a pure state, i.e. the entanglement entropy never diverges and unitary evolution implies negative energy flux.…”