Onsager's Scars in Disordered Spin Chains

Understand

We propose a class of non-integrable quantum spin chain models that exhibit quantum many-body scars even in the presence of disorder.

• With the use of the so-called Onsager symmetry, we construct such scarred models for arbitrary spin quantum number $ S $.
• There are two types of scar states, namely, coherent states associated to an Onsager-algebra element and one-magnon scar states.
• While both of them are highly-excited states, they have area-law entanglement and can be written as a matrix product state.