Flat band quantum scar
Yoshihito Kuno, Tomonari Mizoguchi, Yasuhiro Hatsugai
Abstract
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 sawtooth flat lattice system as an example, and numerically demonstrate the presence of a quantum scar state. Examples of higher-dimensional systems are also addressed. Our construction method of quantum scar has broad applications to various flat band systems.
Topics & Concepts
Sawtooth waveQuantumEigenvalues and eigenvectorsLattice (music)PhysicsQuantum systemQuantum mechanicsQuantum stateTheoretical physicsComputer scienceTelecommunicationsAcousticsQuantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesQuantum and electron transport phenomena