Speaker
Description
We construct a class of quantum many-body systems hosting an su(3)-invariant scar subspace, extending the conventional paradigm of quantum many-body scars beyond equally spaced spectra and single-directional tower structures. Our construction is based on local constraints that realize algebraic closure within the scar subspace.
As a result, the spectrum in the subspace forms a multidirectional lattice structure parametrized by multiple independent quantum numbers, leading to qualitatively new dynamical signatures.
Importantly, the stability of the scar subspace does not rely on exact solvability of individual eigenstates. We show that algebraic closure preserves the invariant subspace even under perturbations that render the eigenstates analytically intractable, thereby realizing quantum many-body scars on an unsolvable reference state.
Our results identify algebraic closure as a unifying mechanism underlying scar subspaces beyond the conventional su(2) paradigm, and suggest a broader route toward nonthermal dynamics in nonintegrable quantum systems.
This talk is based on arXiv:2604.11015.