Quantum 2025 – wissenschaftliches Programm
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MON: Monday Contributed Sessions
MON 3: Many-Body Quantum Dynamics I
MON 3.2: Vortrag
Montag, 8. September 2025, 14:30–14:45, ZHG003
A comprehensive exploration of interaction networks---a connection between entanglement and network structure — •Yoshiaki Horiike1,2 and Yuki Kawaguchi1,3 — 1Department of Applied Physics, Nagoya University, Nagoya, Japan — 2Department of Neuroscience, University of Copenhagen, Copenhagen, Denmark — 3Research Center for Crystalline Materials Engineering, Nagoya University, Nagoya, Japan
Recent experimental advances in various platforms for quantum simulators have enabled the realization of irregular interaction networks, which are intractable to implement with conventional crystal lattices. Another hallmark of these advances is the ability to observe the time-dependent behaviour of quantum many-body systems. However, the relationship between irregular interaction networks and quantum many-body dynamics remains poorly understood. Here, we investigate the connection between the structure of the interaction network and the eigenstate entanglement of the quantum Ising model by exploring all possible interaction networks up to seven spins. We find that the eigenstate entanglement depends on the structure of the Hilbert space diagram, particularly the structure of the equienergy subgraph. We further reveal a correlation linking the structure of the Hilbert space diagram to the number of unconstrained spin pairs. Our results demonstrate that the minimum eigenstate entanglement of the quantum Ising model is governed by the specific structure of the interaction network. (arXiv:2505.11466)
Keywords: Quantum simulation; Interaction networks; Nonequilibrium dynamics; Entanglement; Hilbert space diagram