74 citations · 582 across the 21 of their papers we have counts for
23 papers
The index of a pair of pure states and the interacting integer quantum Hall effect
Sven Bachmann, Jacob Shapiro, Clément Tauber
We introduce the index of a pair of pure states on a unital C*-algebra, which is a generalization of the notion of the index of a pair of projections on a Hi…
Topological junctions for one-dimensional systems
David Gontier, Clément Tauber
We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we pr…
Classifying bulk-edge anomalies in the Dirac Hamiltonian
Hansueli Jud, Clément Tauber
We study the Dirac Hamiltonian in dimension two with a mass term and a large momentum regularization, and show that bulk-edge correspondence fails. Despite a well defined bulk topo…
A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber
We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice . This system is assumed to be initially…
Approach to equilibrium in translation-invariant quantum systems: some structural results
Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber
We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth…
Estimating bulk and edge topological indices in finite open chiral chains
Lucien Jezequel, Clément Tauber, Pierre Delplace
We develop a formalism to extend, simultaneously, the usual definition of bulk and edge indices from topological insulators to the case of a finite sample with open boundary condit…