Quantum many-body scars in transverse field Ising ladders and beyond
Bart van Voorden, Jiří Minář, Kareljan Schoutens
Abstract
We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasiparticle excitations into an exact, zero-energy eigenstate, which is of valence bond solid type. Next, we present a systematic construction of product states characterized, in the limit of a weak transverse field, by a sharply peaked local density of states. We describe how the construction of these `peak states' generalizes to arbitrary dimension and we show that on the ladder their number scales with system size as the square of the golden ratio.
Topics & Concepts
PhysicsQuantum entanglementQuasiparticleQuantumEigenvalues and eigenvectorsQuantum mechanicsIsing modelTransverse planeCondensed matter physicsSuperconductivityEngineeringStructural engineeringQuantum many-body systemsPhysics of Superconductivity and MagnetismQuantum and electron transport phenomena