Large classes of quantum scarred Hamiltonians from matrix product states
Sanjay Moudgalya, Edward E. O’Brien, B. Andrei Bernevig, Paul Fendley, Nicolas Regnault
Abstract
The authors develop a general formalism to systematically construct parent Hamiltonians with quasiparticle excited states starting from a matrix product state (MPS) wave function. The resulting parent Hamiltonians are generically nonintegrable, and the quasiparticle excited states are thus examples of quantum many-body scars of the Hamiltonian. This method is used to recover well-known quantum scarred models, such as the AKLT spin chain, as well as to construct many new families of models, thus illustrating the close connection between parent Hamiltonians of MPS and quantum scarred models.
Topics & Concepts
Wave functionHamiltonian (control theory)Eigenvalues and eigenvectorsMatrix product statePhysicsQuantum entanglementQuantumQuantum mechanicsEigenfunctionGround stateMathematical physicsTheoretical physicsMathematicsMathematical optimizationQuantum many-body systemsPhysics of Superconductivity and MagnetismCold Atom Physics and Bose-Einstein Condensates