Revival dynamics in a traversable wormhole

Abstract

Quantum effects can stabilize wormhole solutions in general relativity, allowing information and matter to be transported between two connected spacetimes. Here we study the revival dynamics of signals sent between two weakly coupled quantum chaotic systems, represented as identical Sachdev-Ye-Kitaev models, that realize holographically a traversable wormhole in anti-de Sitter spacetime AdS${}_2$ for large number $N$ of particles. In this limit we find clear signatures of wormhole behavior: an excitation created in one system is quickly scrambled under its unitary dynamics, and is reassembled in the other system after a characteristic time consistent with holography predictions. This leads to revival oscillations that at low but finite temperature decay as a power-law in time. For small $N$ we also observe revivals and show that they arise from a different, non-gravitational mechanism.

arXiv comment6+6 pages, 4+3 figures. Comments welcome. Note also an interesting parallel study by X.-L. Qi and P. Zhang that appeared in a parallel posting. v2: updated Fig. 1 and discussion, updated discussion of finite temperature effects, revised supplementary material

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• Lindbladian dissipation of strongly-correlated quantum matter
• Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
• Information scrambling vs. decoherence -- two competing sinks for entropy
• Traversable wormhole and Hawking-Page transition in coupled complex SYK models
• Fast scrambling without appealing to holographic duality
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• A Traversable Wormhole Teleportation Protocol in the SYK Model
• Tunneling through an Eternal Traversable Wormhole
• Traversable wormhole in coupled SYK models with imbalanced interactions
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• Phase diagram of a two-site coupled complex Sachdev-Ye-Kitaev model
• Probing quantum chaos in multipartite systems
• Chaos exponents of SYK traversable wormholes
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Disconnecting a Traversable Wormhole: Universal Quench Dynamics in Random Spin Models
• Soft modes in $\mathcal{N}=2$ SYK model
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
• Quantum information scrambling in two-dimensional Bose-Hubbard lattices
• Dynamical Symmetry and the Thermofield State at Large $N$
• Excitation Transmission through a non-Hermitian traversable wormhole
• Thermodynamic and Real-time Dynamic Properties of Complex Sachdev-Ye-Kitaev Model
• Traversable wormhole without interaction
• Floquet SYK wormholes
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• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
• Hot wormholes and chaos dynamics in a two-coupled SYK model
• Lyapunov exponents in a Sachdev-Ye-Kitaev-type model with population imbalance in the conformal limit and beyond
• Sparse SYK and traversable wormholes
• Nematic order in topological SYK models
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes
• A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
• Off-diagonal coupling of supersymmetric SYK model
• Wormholes and out-of-time ordered correlators in gauge/gravity duality