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A Microfluidic-based Hydrodynamic Trap for Single Particles
Published on: January 21, 2011
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Black Hole Scrambling from Hydrodynamics
Sašo Grozdanov1,2, Koenraad Schalm2, Vincenzo Scopelliti2
1Center for Theoretical Physics, MIT, Cambridge, Massachusetts 02139, USA.
Physical Review Letters
|June 23, 2018
Summary
Strongly coupled quantum theories
Area of Science:
- Quantum Gravity
- Condensed Matter Physics
- High Energy Physics
Background:
- Holographic duality connects quantum field theories to gravitational theories.
- Quantum chaos, or scrambling, describes how information spreads in quantum systems.
- Gravitational shock wave computations probe scrambling rates in holographic models.
Purpose of the Study:
- To establish a direct link between gravitational shock wave computations and hydrodynamic sound modes.
- To demonstrate how scrambling rates relate to the properties of sound waves in quantum systems.
- To explore the connection between the butterfly effect and hydrodynamics in strongly coupled theories.
Main Methods:
- Analyzing gravitational shock wave computations in holographic duals.
- Investigating linearized gravitational waves at black hole horizons.
- Utilizing dispersion relations of hydrodynamic sound modes.
- Applying analytical continuation to imaginary frequency and momentum.
Main Results:
- Gravitational shock wave computations are equivalent to probing hydrodynamic sound modes.
- Scrambling rates are determined by specific imaginary frequency and momentum values of sound modes.
- A direct link is established between sound dispersion relations and the holographic butterfly effect.
- Higher-derivative theories modify the relationship between horizon diffusion and momentum diffusion.
Conclusions:
- The holographic butterfly effect is intimately connected to hydrodynamic sound modes.
- Strongly coupled holographic theories share dynamical properties with classical dilute gases.
- Early-time scrambling and late-time equilibration are governed by the same underlying dynamics.
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