#topological invariants
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Temporal Interference from Topological Transitions in Monitored Quantum Dynamics
Qingyuan Wang, Ruoyu Yin, Eli Barkai
The paper studies how stroboscopic measurements of a quantum system reveal temporal interference patterns that arise when a topological winding number changes, creating dark states…
Topological zero-reflection points in multi-terminal quantum wire junctions
Abhiram Soori, Udit Khanna, Diptiman Sen
The paper analyzes scattering in non‑interacting multi‑terminal quantum wire junctions and shows that dihedral‑symmetric junctions can exhibit exact zero‑reflection points, which a…
Nonlinear Odd Viscoelastic Effect
Ashwat Jain, Wojciech J. Jankowski, M. Mehraeen +1
The paper discovers a new class of dissipationless, nonlinear odd viscoelastic responses in three‑dimensional quantum systems, where combined distortions in two orthogonal directio…
Isotopy classification of Morse polynomials of degree 4 in
V. A. Vassiliev
The paper defines invariants that classify isotopy classes of real Morse polynomials on the plane, proves they are complete for degrees up to four, enumerates all possible invarian…
A mathematical study of periodic band inversion
Tyler Guo, Maciej Zworski
The paper mathematically analyzes periodic band inversion for an electron in a two‑dimensional periodic potential coupled to a circularly polarized photon cavity, deriving an effec…
Selective bulk-boundary correspondence in higher-order topological insulators with anticommuting mirror and chiral symmetries
Suman Aich, Babak Seradjeh
The paper studies higher-order topological insulators protected by chiral and anticommuting mirror symmetries, showing that breaking certain mirror symmetries leads to edge‑selecti…