Post-quench evolution of complexity and entanglement in a topological system
Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque, Eugene H. Kim, Nathan Moynihan
Abstract
We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows signatures of revivals; this observation provides a practical advantage in information processing. We also show that the complexity saturates much faster than the entanglement entropy in this system, and we provide a physical argument for this. Finally, we demonstrate that complexity is a less sensitive probe of topological order, compared with measures of entanglement.
Topics & Concepts
PhysicsQuantum entanglementTopological entropy in physicsTopological orderEntropy (arrow of time)Topology (electrical circuits)Statistical physicsQuantumMultipartite entanglementSquashed entanglementQuantum mechanicsTheoretical physicsTopological quantum numberCombinatoricsMathematicsQuantum many-body systemsTopological Materials and PhenomenaAdvanced Thermodynamics and Statistical Mechanics