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MON: Monday Contributed Sessions

MON 17: Quantum Communication and Networks: Theory

MON 17.8: Talk

Monday, September 8, 2025, 18:15–18:30, ZHG006

Emergent statistical mechanics in holographic random tensor networks — •Shozab Qasim, Alexander Jahn, and Jens Eisert — Dahlem Center for Complex Quantum Systems, Freie Universitat Berlin, 14195 Berlin, Germany

Random tensor networks, formed by contracting locally random tensors chosen from the unitary Haar measure, define a class of ensembles of quantum states whose properties depend on the tensor network geometry. Of particular interest are random tensor networks on hyperbolic geometries, leading to properties resembling those of critical boundary states of holographic bulk-boundary dualities. In this work, we elevate this static picture of ensemble averages to a dynamic one, leveraging earlier work on random matrix product state to show that random tensor network states exhibit equilibration of time-averaged operator expectation values under a highly generic class of Hamiltonians with non-degenerate spectra. We show that random tensor networks on hyperbolic geometries equilibrate faster than on flat ones, consistent with the expectation that the former describe highly chaotic holographic boundary theories, and that equilibration is further accelerated by the insertion of high- bond dimension black hole tensors in the network, consistent with previous holographic constructions. These results show that random tensor network techniques can describe aspects of holographic boundary dynamics without the explicit construction of a boundary Hamiltonian.

Keywords: Holography; Tensor Networks; Eigenstate Thermalization Hypothesis; Quantum Chaos; Conformal Field Theory