Holographic moving mirrors

Abstract

Moving mirrors have been known as tractable setups modeling Hawking radiation from black holes. In this paper, motivated by recent developments regarding the black hole information problem, we present extensive studies of moving mirrors in conformal field theories by employing both field theoretic as well as holographic methods. Reviewing first the usual field theoretic formulation of moving mirrors, we construct their gravity dual by resorting to the AdS/BCFT construction. Based on our holographic formulation, we then calculate the time evolution of entanglement entropy in various moving mirror models. In doing so, we mainly focus on three different setups: escaping mirror, which models constant Hawking radiation emanating from an eternal black hole; kink mirror, which models an evaporating black hole formed from collapse; and the double escaping mirror, which models two constantly radiating eternal black holes. In particular, by computing the holographic entanglement entropy, we show that the kink mirror gives rise to an ideal Page curve. We also find that an interesting phase transition arises in the case of the double escaping mirror. Furthermore, we argue and provide evidence for an interpretation of moving mirrors in terms of two dimensional Liouville gravity. We also discuss the connection between quantum energy conditions and the time evolution of holographic entanglement entropy in moving mirror models.

The Universe as a Quantum Encoder

“…The holographic dual of an expanding patch of dS d+1 is conjectured to be a CFT d living on the boundary of the spacetime at future null infinity (I + ). 10 This basically turns the AdS/CFT correspondence sideways, with time replacing the radius as the holographically emergent dimension. The bulk-to-boundary dictionary, as further developed in [34][35][36], is a (subtle) r → t rotation of the AdS/CFT dictionary.…”

“…The first, very simple, example is a 1+1 free field theory with a moving mirror [7][8][9] (see [10] for more recent work). We take the mirror to initially be at rest, and then uniformly accelerating away from infinity.…”

“…For a useful recent discussion of the well-known connection between RG flow and quantum error-correcting codes see[19] 10. We consider here only one asymptotic boundary as apparently is the case in our own universe.…”

Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography

“…• boundary-boundary-boundary OPE coefficients for heavy-light-light weights, One can find that the result (6.11) is consistent with the off-diagonal part of the ETH (6.7). 8 In general, the dimension h p min is of order O(1), therefore, in the large c limit, we have…”

“…The bottom picture in Figure 1 is sometimes useful because we can evaluate "quantum" entanglement therein by just calculating the holographic entanglement entropy (i.e. the area of Ryu-Takayanagi surface) in the setup shown in bottom of Figure 1 (for example, see [7][8][9][10][11][12][13][14][15][16]).…”