Exploring the Ground States of Higher-Spin Kitaev Models via QR-Accelerated iPEPS simulation

Not scheduled
15m
Collegium Nowodworskiego (Jagiellonian University)

Collegium Nowodworskiego

Jagiellonian University

Świętej Anny 12, 33-332 Kraków, Poland
Oral Presentation B - Contributed Talk

Speaker

Qi Yang (University of Amsterdam)

Description

Higher-spin extensions of the Kitaev honeycomb model offer a fertile ground for exploring quantum frustration and topological order beyond the spin-1/2 paradigm. Despite intensive interest, the nature of their ground states remains elusive, particularly in the large‑spin regime where semiclassical intuition and entanglement effects intertwine. Accurate simulations in this limit are hindered by steep computational costs.

We build upon our previously established QR-accelerated iPEPS(infinite projected entangled pair states) framework, which achieves one to two orders of magnitude speedup in contraction time compared to conventional approaches, with excellent performance on modern GPU architectures. This enables controlled access to larger bond dimensions, which is crucial to obtain reliable ground state.

The improved efficiency enables simulations of higher-spin Kitaev models at unprecedented scale, laying the groundwork for deeper investigations into their entanglement structure and phase behavior.

Author

Qi Yang (University of Amsterdam)

Co-authors

XINGYU ZHANG (Ghent university) Yuchi He (Ghent University) Prof. Hong-hao Tu (Ludwig-Maximilians-University) Philippe Corboz

Presentation materials

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