Black holes and the butterfly effect
University of California, Santa Barbara · Stanford University · +3 more institutions
Abstract
We use holography to study sensitive dependence on initial conditions in strongly coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a small number of quanta on one side. If these quanta are released a scrambling time in the past, they destroy the local two-sided correlations present in the unperturbed state. The corresponding bulk geometry is a two-sided AdS black hole, and the key effect is the blueshift of the early infalling quanta relative to the t = 0 slice, creating a shock wave. We comment on string- and Planck-scale corrections to this setup, and discuss points that may be relevant to the firewall controversy.
Citation impact
- FWCI
- 110.57
- Percentile
- 100%
- References
- 88
Authors
2- SHStephen H. ShenkerCorresponding
University of California, Santa Barbara, Stanford University, University of California System, Kavli Institute for Theoretical Sciences, Instituto de Física Teórica
- DSDouglas Stanford
Stanford University, University of California System, Instituto de Física Teórica, Kavli Institute for Theoretical Sciences, University of California, Santa Barbara
Topics & keywords
- Physics
- Firewall (physics)
- Theoretical physics
- Quantum mechanics
- Gravitation
- Schwarzschild radius