Dualities in One-Dimensional Quantum Lattice Models: Symmetric Hamiltonians and Matrix Product Operator Intertwiners
Laurens Lootens, Clement Delcamp, Gerardo Ortíz, Frank Verstraete
Abstract
A constructive framework to duality transformations for any given one-dimensional quantum Hamiltonian is developed, enabling their classification by connecting module categories to different but equivalent representations of the Hamiltonian symmetries.
Topics & Concepts
Lattice (music)QuantumMatrix multiplicationProduct (mathematics)Pure mathematicsTheoretical physicsAlgebra over a fieldQuantum mechanicsMathematical physicsMathematicsPhysicsGeometryAcousticsAlgebraic structures and combinatorial modelsQuantum many-body systemsAdvanced Operator Algebra Research