Speaker
Sinong Liu
(Faculty of Physics, University of Warsaw)
Description
We find that the complexity of quantum many-body states, defined as a spread in the Krylov basis, may serve as a probe that distinguishes topological phases of matter. We illustrate this analytically in one of the representative examples, the Su-Schrieffer-Heeger model. Moreover, in the same setup, we analyze exactly solvable quench protocols where the evolution of the spread complexity shows distinct features depending on the topological vs non-topological phase of the initial state as well as the quench Hamiltonian.
Authors
Paweł Caputa
(University of Warsaw)
Sinong Liu
(Faculty of Physics, University of Warsaw)
