The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties
Lenart Zadnik, Maurizio Fagotti
Abstract
We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.
Topics & Concepts
Bethe ansatzIntegrable systemGround stateHamiltonian (control theory)PhysicsStability (learning theory)Limit (mathematics)Mathematical physicsMathematicsState (computer science)Statistical physicsAnsatzThermodynamic limitExponential growthQuantum mechanicsHamiltonian systemQuantum many-body systemsTheoretical and Computational PhysicsQuantum Information and Cryptography