Flat Band Quantum Scar

Understand

We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems.

• The key idea of our construction is to make use of orthogonal compact localized states.
• We concretely discuss our construction scheme, taking a saw-tooth flat lattice system as an example, and numerically demonstrate the presence of a quantum scar state.
• Examples of higher-dimensional systems are also addressed.