The use of the Bott index in condensed matter: equivalence with the 2-Chern and applications to time-driven systems

par Daniele Toniolo (Friedrich-Alexander Universität)

vendredi 1 juin 2018, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Institut Camille Jordan)

The Bott index is an index of a couple of unitary matrices in relation with their approximability with a couple of commuting unitaries. The index is conveniently applied to many body systems defined on a 2-torus by bounded, short ranged and gapped Hamiltonians and shown to be equivalent to the 2-Chern number. The use of the index to the study of the topology of time-driven systems is discussed in a model-independent fashion.