Toric code decodability under coherent X/Z errors is dual to Majorana monitored dynamics whose symmetry class (D or DIII) dictates whether the generic transition is a measurement-induced entanglement transition or a topological transition between area-law phases.
Unpaired Majorana fermions in quantum wires,
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In a generalized non-Hermitian Rice-Mele model, next-nearest-neighbor hopping leaves exceptional-point loci unchanged under periodic boundaries but shifts existing points and creates new ones under open boundaries, producing size-dependent degeneracies and a boundary-specific topological gap-closing
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
Review of integrable anyonic chains with new examples identified for su(2)_k, Tambara-Yamagami TY(Z_n), Fib x Fib, Fib x Ising, and preliminary results for Haagerup-Izumi categories.
Numerical study demonstrates controlled transport of Z4 parafermion edge states in a ladder model and quantifies the adiabatic speed limit under realistic conditions.
A microscopic model of an SSH-superconductor junction finds stable quasiparticle states inside the gap for bulk superconductors but finite temperature-dependent lifetimes from phase fluctuations in lower-dimensional superconductors.
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
Edge reconstruction of a ν=1 quantum Hall edge into a ν=1/3 side strip doubles topological sectors to Z2×Z2 degeneracy, producing 4π Josephson periodicity with energetically decoupled Z2 states.
Pedagogical lecture notes that classify 1D fermionic topological phases of free fermions under U(1) symmetry and time-reversal symmetry and check perturbative stability to interactions.
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Exceptional by Design: Long-Range Hopping as a Knob for Exceptional Point Control
In a generalized non-Hermitian Rice-Mele model, next-nearest-neighbor hopping leaves exceptional-point loci unchanged under periodic boundaries but shifts existing points and creates new ones under open boundaries, producing size-dependent degeneracies and a boundary-specific topological gap-closing