Causality in PT-symmetric systems carries a topological charge at exceptional points, causing a pole migration that produces a Lorentzian residual in Kramers-Kronig relations whose magnitude scales as |gamma - gamma_c|^(-1.08).
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Authors predict and experimentally observe 4D tensor singularities evolving into 3D Euler-class descendants in a superconducting circuit via non-Abelian quantum geometry measurements.
Topology clusters states around the steady-state in stochastic systems but moves them away from zero-energy in quantum systems, while non-reciprocity does the reverse, and a unique topologically emerging state appears only in stochastic models.
PT symmetry enriches non-Hermitian critical points with topological nontriviality, robust edge modes, and a quantized imaginary subleading term in entanglement entropy scaling.
In the non-Hermitian SSH chain with AAH disorder, a competition regime shows reentrant partial delocalization, a modified localization boundary λ_c(δ)=2√(v_eff w), unwinding of spectral loops, and entanglement suppression by skin effect.
Lattice realizations of topological defects in non-unitary 2D CFTs are built from modified RSOS models, yielding numerical results that match analytical predictions for spectra and RG flows.
Non-Bloch bands in a non-Hermitian extended SSH model support adiabatic charge transport that preserves quantized flow when the bands remain gapped during time evolution.
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Topological Charge of Causality at a PT-Symmetric Exceptional Point
Causality in PT-symmetric systems carries a topological charge at exceptional points, causing a pole migration that produces a Lorentzian residual in Kramers-Kronig relations whose magnitude scales as |gamma - gamma_c|^(-1.08).
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Probing Tensor Singularities and Their Euler-Class Descendants via Non-Abelian Quantum Geometry Measurement
Authors predict and experimentally observe 4D tensor singularities evolving into 3D Euler-class descendants in a superconducting circuit via non-Abelian quantum geometry measurements.
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The unique control features of topological stochastic and quantum systems
Topology clusters states around the steady-state in stochastic systems but moves them away from zero-energy in quantum systems, while non-reciprocity does the reverse, and a unique topologically emerging state appears only in stochastic models.
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PT symmetry-enriched non-unitary criticality
PT symmetry enriches non-Hermitian critical points with topological nontriviality, robust edge modes, and a quantized imaginary subleading term in entanglement entropy scaling.
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Competing skin effect and quasiperiodic localization in the non-Hermitian Su-Schrieffer-Heeger chain: Reentrant delocalization, spectral topology destruction, and entanglement suppression
In the non-Hermitian SSH chain with AAH disorder, a competition regime shows reentrant partial delocalization, a modified localization boundary λ_c(δ)=2√(v_eff w), unwinding of spectral loops, and entanglement suppression by skin effect.
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Lattice Topological Defects in Non-Unitary Conformal Field Theories
Lattice realizations of topological defects in non-unitary 2D CFTs are built from modified RSOS models, yielding numerical results that match analytical predictions for spectra and RG flows.
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Adiabatic charge transport through non-Bloch bands
Non-Bloch bands in a non-Hermitian extended SSH model support adiabatic charge transport that preserves quantized flow when the bands remain gapped during time evolution.