6 papers
Accessing Chern Numbers From Bloch Eigenstates Singularities
Rajesh Asapanna, Rabih El Sokhen, Paolo Aceto +7
We propose two methods to extract the Chern numbers of the Bloch bands of a two dimensional insulator, and apply them to a photonic lattice experiment. These two methods require th…
Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
Lucien Jezequel, Pierre Delplace
The mode-shell correspondence relates the number of gapless modes in phase space to a topological \textit{shell invariant} $\Ish$ defined on a close surface -- the shell -- s…
A core-sensitive mixed / mode of the Sun predicted by wave topology and hydrodynamical simulation
Arthur Le Saux, Armand Leclerc, Guillaume Laibe +2
Helioseismology has revolutionized our understanding of the Sun by analyzing its global oscillation modes. However, the solar core remains elusive, limiting a full understanding of…
Practical realization of chiral nonlinearity for strong topological protection
Xinxin Guo, Lucien Jezequel, Mathieu Padlewski +3
Nonlinear topology has been much less inquired compared to its linear counterpart. Existing advances have focused on nonlinearities of limited magnitudes and fairly homogeneous typ…
Observation of extrinsic topological phases in Floquet photonic lattices
Rajesh Asapanna, Rabih El Sokhen, Albert F. Adiyatullin +4
Discrete-step walks describe the dynamics of particles in a lattice subject to hopping or splitting events at discrete times. Despite being of primordial interest to the physics of…
Topology of shallow-water waves on the rotating sphere
Nicolas Perez, Armand Leclerc, Guillaume Laibe +1
Topological properties of the spectrum of shallow-water waves on a rotating spherical body are established. Particular attention is paid to its spectral flow, i.e. the modes whose…