Emergent times in holographic duality

Leutheusser, Samuel; Liu, Hong

doi:10.48550/arxiv.2112.12156

Cited by 35 publications

(92 citation statements)

References 68 publications

(104 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is a concrete manifestation of bulk emergence from non-spatial degrees of freedom. It is also analogous to the results of [21,22], which find an emergent Type III 1 von Neumann algebra in the large N limit of AdS/CFT, for time bands of a given side of the TFD state.…”

Section: Jhep06(2022)039supporting

confidence: 82%

See 1 more Smart Citation

Quantum error correction in SYK and bulk emergence

Chandrasekaran

Levine

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We analyze the error correcting properties of the Sachdev-Ye-Kitaev model, with errors that correspond to erasures of subsets of fermions. We study the limit where the number of fermions erased is large but small compared to the total number of fermions. We compute the price of the quantum error correcting code, defined as the number of physical qubits needed to reconstruct whether a given operator has been acted upon the thermal state or not. By thinking about reconstruction via quantum teleportation, we argue for a bound that relates the price to the ordinary operator size in systems that display so-called detailed size winding [1]. We then find that in SYK the price roughly saturates this bound. Computing the price requires computing modular flowed correlators with respect to the density matrix associated to a subset of fermions. We offer an interpretation of these correlators as probing a quantum extremal surface in the AdS dual of SYK. In the large N limit, the operator algebras associated to subsets of fermions in SYK satisfy half-sided modular inclusion, which is indicative of an emergent Type III1 von Neumann algebra. We discuss the relationship between the emergent algebra of half-sided modular inclusions and bulk symmetry generators.

show abstract

Section: Jhep06(2022)039supporting

confidence: 82%

“…As discussed by [21,40], such an HSMI algebra can only be obeyed when the algebras L and LK are Type III 1 , the type of algebra usually associated to a quantum field theory. SYK is not a quantum field theory and in fact has a finite Hilbert space of dimension 2 N/2 at finite N .…”

Section: Emergent Type III Von-neumann Algebramentioning

confidence: 99%

Quantum error correction in SYK and bulk emergence

Chandrasekaran

Levine

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…One may also wonder how to make the picture of the black hole interior as a unitary quantum circuit more rigorous (see [59,60,24] for recent proposals in the context of CFTs), and how to connect it with other discussions of the black hole interior (such as [38,39]). Throughout this work 10 We thank Matthew Headrick for suggesting this.…”

Section: Discussionmentioning

confidence: 99%

“…of operators [18,19,20,21,22,23,24] and their operator complexity [25,26,27,28,29,30]. Some other related recent studies of the black hole interior using ideas of operator reconstruction include [31,32,33,34,35,36,37] and [38,39,40].…”

Section: Introductionmentioning

confidence: 99%

Collisions of localized shocks and quantum circuits

Haehl¹,

Zhao²

2022

Preprint

View full text Add to dashboard Cite

We study collisions between localized shockwaves inside a black hole interior. We give a holographic boundary description of this process in terms of the overlap of two growing perturbations in a shared quantum circuit. The perturbations grow both exponentially as well as ballistically. Due to a competition between different physical effects, the circuit analysis shows dependence on the transverse locations and exhibits four regimes of qualitatively different behaviors. On the gravity side we study properties of the post-collision geometry, using exact calculations in simple setups and estimations in more general circumstances. We show that the circuit analysis offers intuitive and surprisingly accurate predictions about gravity computations involving non-linear features of general relativity.

show abstract

“…Recent works have begun to approach this question by identifying robust features of holographic black hole interiors, going beyond the conventionally used Schwarzschild and Reissner-Nordstrom solutions [270][271][272]. Furthermore, the emergence of interior time has very recently been shown to be closely tied up with the N → ∞ limit of the dual many-body system [273,274]. These works may lay the foundation for future maps between interior gravitational evolution and quantum many-body dynamics.…”

Section: Summary and Further Directionsmentioning

confidence: 99%

Snowmass White Paper: New ideas for many-body quantum systems from string theory and black holes

Blake¹,

Gu²,

Hartnoll³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

During the last two decades many new insights into the dynamics of strongly coupled quantum many-body systems have been obtained using gauge/gravity duality, with black holes often playing a universal role. In this white paper we summarize the results obtained and offer some outlook for future developments, including the ongoing mutually beneficial feedback loop with the study of more general, not necessarily holographic, quantum manybody systems. 5 Bounding finite temperature quantum dynamics 7 6 Late time many-body quantum chaos 9 7 Quantum information of many-body systems 10 8 The SYK model and beyond 11 9 Properties and Dynamics of Quark-Gluon Plasma 12 10 Far-from-equilibrium dynamics 14

show abstract

Emergent times in holographic duality

Cited by 35 publications

References 68 publications

Quantum error correction in SYK and bulk emergence

Quantum error correction in SYK and bulk emergence

Collisions of localized shocks and quantum circuits

Snowmass White Paper: New ideas for many-body quantum systems from string theory and black holes

Contact Info

Product

Resources

About