Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 51: Correlated Electrons: Method Development II
TT 51.8: Talk
Wednesday, March 11, 2026, 17:00–17:15, HSZ/0101
Holographic Representation of One-Dimensional Many-Body Quantum States via Isometric Tensor Networks — Kaito Kobayashi1, •Benjamin Sappler2,3, and Frank Pollmann2,3 — 1Department of Applied Physics, the University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan — 2Technical University of Munich, TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany — 3Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany
Isometric tensor network states (isoTNS) allow for efficient and accurate simulations of higher-dimensional quantum systems by enforcing an isometric structure. We bring this idea back to one dimension by introducing a holographic isoTNS ansatz: a (1+1)-dimensional lattice of isometric tensors where the horizontal axis encodes physical space and an auxiliary "holographic" axis boosts expressivity. We investigate this ansatz and benchmark it in comparison to matrix product states (MPS). We show that randomly initialized holographic isoTNS typically display volume-law entanglement even at modest bond dimension. We further demonstrate that holographic isoTNS can faithfully represent arbitrary fermionic Gaussian states, Clifford states, and certain short-time-evolved states under local evolution. Finally, we implement a time-evolving block decimation (TEBD) algorithm on holographic isoTNS. While the method remains efficient, error accumulation suppresses entanglement and leads to rapid deviations from exact dynamics. Overall, holographic isoTNS broaden the reach of tensor-network methods, opening new avenues to study volume-law physics.
Keywords: tensor networks