For finite-N DSSYK, the chord basis is the early part of the physical Krylov basis, and spread complexity, taken as the non-perturbative ER bridge size, saturates after a universality-class-dependent peak and slope.
Deconstructing the Wormhole: Factorization, Entanglement and Decoherence
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study the role of ensemble averaging in holography by exploring the relation between the universal late time behavior of the spectral form factor and the second Renyi entropy of a thermal mixed state of the doubled system. Both quantities receive contributions from wormhole saddle-points: in the former case they lead to non-factorization while in the latter context they quantify decoherence due to the interaction with an environment. Our reasoning indicates that the space-time continuity responsible for non-factorization and space-time continuity through entanglement are in direct competition with each other. In an accompanying paper, we examine this dual relationship in a general class of 1D quantum systems with the help of a simple geometric path integral prescription.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Spread complexity and the saturation of wormhole size
For finite-N DSSYK, the chord basis is the early part of the physical Krylov basis, and spread complexity, taken as the non-perturbative ER bridge size, saturates after a universality-class-dependent peak and slope.