Journal Article

FZJ-2026-02307

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Time evolution of the quantum Ising model in two dimensions using tree tensor networks

Krinitsin, W. (Corresponding author)FZJ* ; Tausendpfund, N. ; Heyl, M. ; Rizzi, M.FZJ* ; Schmitt, M.FZJ*

2025
Inst. Woodbury, NY

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Please use a persistent id in citations: doi:10.1103/kj16-sqcm  doi:10.34734/FZJ-2026-02307

Abstract: The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutesa major challenge for all known computational methods. We investigate the utility of tree tensor network (TTN)states to solve the dynamics of the quantum Ising model in two dimensions. Within the perturbative regime ofsmall transverse fields, TTNs faithfully reproduce analytically known, but nontrivial and physically interestingdynamics of magnetic domains, for lattices up to 16 × 16 sites. Limitations of the method related to the rapidgrowth of entanglement entropy are explored within more general, paradigmatic quench settings. We provideand discuss comprehensive benchmarks regarding the benefit of GPU acceleration and the impact of using localoperator sums on the performance.

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Contributing Institute(s):

1. Quantum Control (PGI-8)

Research Program(s):

1. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)
2. PASQuanS2.1 - Programmable Atomic Large-scale Quantum Simulation 2 - SGA1 (101113690) (101113690)

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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