Multiple shocks

By S. Shenker, D. Stanford. 2013

490 citations recorded by the source corpus.

A bstractUsing gauge/gravity duality, we explore a class of states of two CFTs with a large degree of entanglement, but with very weak local two-sided correlation. These states are constructed by perturbing the thermofield double state with thermal-scale operators that are local at different times. Acting on the dual black hole geometry, these perturbations create an intersecting network of shock waves, supporting a very long wormhole. Chaotic CFT dynamics and the associated fast scrambling time play an essential role in determining the qualitative features of the resulting geometries.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c40f86efe9eb5bc79638a562142dfab0f5395523

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Stanford
2. R. Myers
3. D. Harlow
4. J. Maldacena
5. L. Susskind
6. V. Hubeny
7. S. Shenker
8. Zhenbin Yang

In Atomic and Molecular Physics, and Optics

1. D. Stanford
2. R. Myers
3. D. Harlow
4. A. Nahum
5. Brian Swingle
6. S. Shenker
7. Zhenbin Yang
8. J. Maldacena

In Nuclear and High Energy Physics

1. D. Stanford
2. R. Myers
3. D. Harlow
4. J. Maldacena
5. Zhenbin Yang
6. S. Shenker
7. L. Susskind
8. T. Takayanagi

Citations in the corpus

• Localized shocks (2014, background): “In [24], two of us checked a refinement of this relationship for a family of states, corresponding to the spherical shock wave geometries constructed in [25].”
• A bound on chaos (2015, methodology): “In the holographic calculations [16, 17, 5, 18, 19] that use Einstein gravity in the bulk, the result (7) holds independent of d and independent of the choice of V and W .”
• Addendum to computational complexity and black hole horizons (2014, background): “An analysis of the two-shockwave geometry [5] gives the same formula for the length of the geodesic connecting the boundary points.”
• Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models (2018, background): “They have been shown to diagnose quantum chaos in black hole physics [47,53,133,135], and they are supposed to be the fastest scramblers in nature [136].”
• Holographic Complexity Equals Bulk Action? (2015, background): “[9], we can add more than one shock wave [31] in more than one location [7], and the dual calculations continue to match.”
• Efficient decoding for the Hayden-Preskill protocol (2017, unknown): “The type of higher-order OTOCs associated with our deterministic decoding algorithm are similar to those previously considered by Shenker and Stanford [17] in the context of multiple shockwave geometries.”
• TASI Lectures on the Emergence of Bulk Physics in AdS/CFT (2017, methodology): “The right diagram is a spacetime Penrose diagram for an “elongated wormhole”, of the type that can be constructed using infalling matter as in [78].”
• Holographic complexity in Vaidya spacetimes. Part II (2018, background): “The nontrivial cancellations in the complexity of the precursor are connected to the switchback effect [15, 19, 47].”
• Second law of quantum complexity (2017, background): “It can also be explicitly seen in black hole dynamics using the classical shock wave calculus of [29].”
• Switchbacks and the Bridge to Nowhere (2014, methodology): “The old ways are: using Einstein field equations to calculate the response of the ERB geometry to the action of a precursor [9]; and using random quantum circuits to evolve the precursor.”
• An investigation of AdS2 backreaction and holography (2016, background): “Within a holographic context, the link between shockwave interactions in the bulk, and chaotic behavior of the boundary theory has been substantially studied in the recent years [21][22][23][24][25][26].”
• Quantum epidemiology: operator growth, thermal effects, and SYK (2018, methodology): “OTOC) [17–20]:”
• Computational complexity and black hole horizons (2014, background): “Support for this research came through NSF grant Phy-1316699 and the Stanford Institute for Theoretical Physics.”
• Chaos in quantum channels (2015, background): “[22, 23, 7, 47]), one needs to consider superpositions of such tensor networks which do not have a geometric description and thus would not be expected to have a semiclassical bulk interpretation.”
• The factorization problem in Jackiw-Teitelboim gravity (2018, background): “In particular the strong redshift effects near black hole horizons make physics from the point of view of the outside observer unusually sensitive to gravitational effects there [10–14].”