Python's Lunches in Jackiw-Teitelboim gravity with matter

Abstract

We study Python's lunch geometries in the two-dimensional Jackiw-Teitelboim model coupled to a massless scalar field in the semiclassical limit. We show that all extrema including the minimal quantum extremal surface, bulges and appetizers lie inside the horizon. We obtain fully back-reacted general bulk solutions with a massless scalar field, which can be understood as deformations of black holes. The temperatures of the left/right black holes become in general different from each other. Moreover, in the presence of both state and source deformations at the same time, the asymptotic black hole spacetime is further excited from that of the vacuum solution. We provide information-theoretic interpretation of deformed geometries including Python's lunches, minimal quantum extremal surface and appetizers according to the entanglement wedge reconstruction hypothesis. By considering the restricted circuit complexity associated with Python's lunch geometries and the operator complexity of the Petz map reconstructing a code space operation, we show that the observational probability of Python's lunch degrees of freedom from the boundary is exponentially suppressed. Thus, any bulk causality violation effects related with Python's lunch degrees are suppressed nonperturbatively.

Quantization of Jackiw-Teitelboim gravity with a massless scalar

“…Classically, one has the corresponding constraints, Ji = 0, and imposing these leads to consistent solutions of the left-right boundary dynamics once the bulk matter charges J m i are specified appropriately. These boundary descriptions agree with those of the bulk gravity description, as was explicitly verified in [20] for the case of m 2 = 0. Quantum mechanically, imposing the constraints properly on the wave function Ψ Ji Ψ = 0 (2.21) will be the main part of our quantization of the system, whose details will be discussed in the next section.…”

“…where A r/l , B r/l and C r/l are integration constants. The last equation in (5.1), e χ r/l = Cτ ′ r/l , together with the solution (5.3) leads to boundary cutoff trajectories [20] parametrized as tanh…”

“…For the bulk scalar field solution, ϕ sol under a vanishing boundary condition, the bulk dilaton solution can be obtained by solving (2.4). From the explicit asymptotic expressions of the bulk dilaton solution, one can see that the dilaton solution φ at the cutoff boundaries takes the form of the vacuum solution as (see Appendix C for a summary of these solutions in [20])…”

“…For JT theory with a massless scalar field specifically, its full general solutions are presented explicitly in [20], which show some nontrivial aspects of two-sided black holes involving the matter field. For instance, the left and right temperatures of two-sided black holes become different from each other.…”

Cauchy Slice Holography: A New AdS/CFT Dictionary

“…The maximum entropy capacity of the T 2 deformed theory to transmit information will be discussed in a forthcoming article[47]. Even if this information capacity is exceeded, the boundary state manifestly remains pure, but some postselection must happen on bulk data as suggested in[120][121][122]. Despite this postselection, the evolution of the entire spacetime remains unitary, because the boundary CFT is unitary.…”