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A: Fachverband Atomphysik

A 43: Ultra-cold Atoms, Ions and BEC VI (joint session A/Q)

A 43.3: Vortrag

Freitag, 6. März 2026, 15:00–15:15, N 1

Spin-coherent eigenstates in quantum magnets — •Felix Gerken and Thore Posske — University of Hamburg, Hamburg, Germany

At special points in the parameter space of quantum magnets, product states can emerge as eigenstates. For a wide range of one-, two-, and higher-dimensional models, their appearance is connected to phenomena such as spin liquids, anyonic phases, and quantum scars. We provide a unified framework through a complete classification of spin-coherent eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs and for arbitrary spin quantum numbers, formulated in terms of Kirchhoff rules for spin supercurrents. We find that these spin-coherent eigenstates not only span a large degenerate subspace, but are also accompanied by additional extensive degeneracy that is linked to exotic condensates, which could be studied in atomic gases and quantum spin lattices.

Keywords: quantum spin; graphs; exact solution; product states; degeneracy