Mobile exceptional points under cyclic modulation partition the Brillouin zone into switching domains that control band permutation after each cycle.
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7 Pith papers cite this work. Polarity classification is still indexing.
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Fractional winding numbers in open quantum systems recover integer quantization over multiple momentum periods.
Successive quantum feedback control with non-adaptive bare measurements collapses to the ten AZ† symmetry classes that dictate topology of CPTP maps, demonstrated via quantized winding numbers in a chiral demon and an explicit protocol outside the classes.
Minimal pseudo-Lorentz-symmetry-breaking Hamiltonian deformations act as bulk probes that separate renormalizable observables from those carrying irreducible non-Hermitian structure in two-dimensional Dirac semimetals with real spectra.
Non-Hermiticity induces fractional topological phases in nonlinear Thouless pumping of a Rice-Mele model, explained through auxiliary eigenvalue equations that connect nonlinear spectra to bulk-boundary correspondence.
Bipartite non-Hermitian lattices support exceptional flat bands that arise from sublattice degeneracy mismatch and persist beyond exceptional points with biorthogonal modes spanning both sublattices.
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
citing papers explorer
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Mobile Exceptional Points Generate Momentum-Space Switching Domains
Mobile exceptional points under cyclic modulation partition the Brillouin zone into switching domains that control band permutation after each cycle.
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Fractional topology and multi-period re-quantization in open quantum systems
Fractional winding numbers in open quantum systems recover integer quantization over multiple momentum periods.
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Symmetry and Topology of Successive Quantum Feedback Control
Successive quantum feedback control with non-adaptive bare measurements collapses to the ten AZ† symmetry classes that dictate topology of CPTP maps, demonstrated via quantized winding numbers in a chiral demon and an explicit protocol outside the classes.
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Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
Minimal pseudo-Lorentz-symmetry-breaking Hamiltonian deformations act as bulk probes that separate renormalizable observables from those carrying irreducible non-Hermitian structure in two-dimensional Dirac semimetals with real spectra.
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Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
Non-Hermiticity induces fractional topological phases in nonlinear Thouless pumping of a Rice-Mele model, explained through auxiliary eigenvalue equations that connect nonlinear spectra to bulk-boundary correspondence.
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Exceptional flat bands in bipartite non-Hermitian lattices
Bipartite non-Hermitian lattices support exceptional flat bands that arise from sublattice degeneracy mismatch and persist beyond exceptional points with biorthogonal modes spanning both sublattices.
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Recent progress on disorder-induced topological phases
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.