15–19 Jun 2026
Faculty of Mathematics and Physics, University of Ljubljana
Europe/Ljubljana timezone

XYZ integrabilty and Strong Zero Modes in Integrable Systems

Not scheduled
20m
Peterlin Pavilion (Faculty of Mathematics and Physics, University of Ljubljana)

Peterlin Pavilion

Faculty of Mathematics and Physics, University of Ljubljana

Jadranska ulica 19 1000 Ljubljana Slovenia
Poster

Speaker

Dr Sascha Gehrmann (University of Oxford)

Description

Baxter’s original proof of XYZ integrability relies on the Yang–Baxter equation. Here, we present another route by constructing a simple matrix-product operator that generates an extensive hierarchy of conserved charges commuting with the XYZ Hamiltonian, naturally extending to integrable defects and arbitrary boundary conditions.

The construction is intimately connected to the exact strong zero mode (ESZM) of the XYZ chain—an operator localized at the boundary—which induces infinite edge coherence times. Building on this connection, we derive exact strong zero modes in more general integrable systems.

Author

Dr Sascha Gehrmann (University of Oxford)

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