Complexity of topologically frustrated systems*

In my talk, I will present a summary of our main results about the complexity of the ground states of topologically frustrated systems. A topological frustration arises when, in a short-range antiferromagnetic system made of an odd number of spins, periodic boundary conditions are considered. We characterize the increment of the ground state complexity exploiting different approaches as the analysis of the non-stabilizerness (or "magic") and of the stochastic irreversibility of the entanglement.

  -- Papers --

   Phys. Commun. 3, 081001 (2019);

   New J. Phys. 22 083024 (2020);

   Comm. Phys. 3, 220 (2020);

   J. Phys. A 54 025201 (2020);

   Phys. Rev. B 103, 014429 (2021);

   Sci Rep 11, 6508 (2021);

   Phys. Rev. B 105, 064408 (2022);

   Phys. Rev. B 105, 184424 (2022);

   SciPost Phys. 12, 075 (2022);

   arXiv:2209.10541

   arXiv:2210.13495