Quantum Aspects of Black Holes - Lecture 3

Delve into an advanced lecture on quantum aspects of black holes delivered by Juan Maldacena at the Kavli Asian Winter School on Strings, Particles and Cosmology. Explore complex topics including traversable wormholes, quantum teleportation, the Hayden-Preskill problem, and applications to quantum gravity. Examine the SYK model, random matrix theory, and their connections to black hole physics. Investigate gravity solutions for phenomena like the spectral ramp and their implications for understanding quantum chaos in black holes. Gain insights into cutting-edge research at the intersection of quantum mechanics, gravity, and information theory from a leading expert in the field.

Start
Traversable wormholes
Given that we have coupled the two sides,
Quantum teleportation
Quantum gravity in the lab
Application to the Hayden Preskill problem
Old black hole
Bob's black Hole, which is Part of
Making the wormhole traversable
Bob now gets the message at
More like the HP figure
There are never two copies of the message.
One other variant of the same basic traversable wormhole idea
First a comment
Making the TFD
Meeting behind the horizon
End of lecture 2
We expect that these energy levels to be like those of a chaotic system.
A simpler observable
The SYK model
Consider a theory with random couplings
The ramp
We will now discuss some results for random matrices.
Results for Random Matrices
Ramp from gravity
It turns out that there is no gravity solution for
Constraining the energy
Then we expect that is conjugate to By in the region,
Quantum fields in this background
Success! We have found the gravity solution for the ramp!
Gravity lets us compute the statistical properties of the noise.
Connection with replica wormholes
The end