Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

Quantum complexity and topological phases of matter

Not scheduled
Audimax (University of Vienna)


University of Vienna

Universitätsring 1, 1010 Vienna, Austria


Sinong Liu (Faculty of Physics, University of Warsaw)


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.

Primary authors

Paweł Caputa (University of Warsaw) Sinong Liu (Faculty of Physics, University of Warsaw)

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