Damped magnon excitations in skyrmion-string lattices exhibit point-gap non-Hermitian topology, enabling skin effect and damping-dependent propagation even with only local damping.
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Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
Exceptional points in non-Hermitian Hamiltonians correspond to multi-block exceptional points in the no-jump Liouvillian; quantum jump terms modify the block structure, demonstrated in qubit and qutrit models with population sinks.
Laser arrays with Dirac-point dispersion maintain synchronization across spectrally detuned barriers an order of magnitude stronger than parabolic or dissipative cases via delocalized eigenmodes interpreted as Klein tunneling of coherence.
Hilbert-space holonomy acts as a geometric criterion that restricts complex spectra to the most symmetric sectors in minimal fragmented non-Hermitian models.
In Gaussian open fermion chains, the dominant natural orbital locks to the Euclidean-normalized slow right eigenmode of the relaxation matrix, providing a mode-resolved diagnostic of hidden skin order.
Non-Hermitian skin effect in Rashba nanowire with ferromagnetic lead produces nonreciprocal nonlocal conductance detectable by transport spectroscopy, with exceptional points shifting under open boundary conditions.
Theoretical derivation of the full two-photon dispersion ω(K) in chiral waveguide QED, revealing bound, antibound, resonance states across all K with gapless real part and applicability to finite arrays.
In the non-Hermitian XY model the scaling of ground-state correlations and entanglement entropy remains identical to the Hermitian version because Z2 symmetry breaking produces the ferromagnetic phase while U(1) symmetry emergence plus real-energy degeneracy produces the Luttinger liquid phase with
Exceptional points in a minimal multiterminal SN junction produce visible signatures in Andreev spectroscopy but only minor effects on Josephson current.
citing papers explorer
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Point-gap topology of damped magnon excitations in skyrmion strings
Damped magnon excitations in skyrmion-string lattices exhibit point-gap non-Hermitian topology, enabling skin effect and damping-dependent propagation even with only local damping.
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Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Multi-block exceptional points in open quantum systems
Exceptional points in non-Hermitian Hamiltonians correspond to multi-block exceptional points in the no-jump Liouvillian; quantum jump terms modify the block structure, demonstrated in qubit and qutrit models with population sinks.
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Klein tunneling of the laser coherence
Laser arrays with Dirac-point dispersion maintain synchronization across spectrally detuned barriers an order of magnitude stronger than parabolic or dissipative cases via delocalized eigenmodes interpreted as Klein tunneling of coherence.
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Filling-Sensitive Spectral Complexity from Hilbert-Space Holonomy in Fragmented Non-Hermitian Systems
Hilbert-space holonomy acts as a geometric criterion that restricts complex spectra to the most symmetric sectors in minimal fragmented non-Hermitian models.
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Natural-orbital locking reveals hidden steady-state skin order in Gaussian open fermion chains
In Gaussian open fermion chains, the dominant natural orbital locks to the Euclidean-normalized slow right eigenmode of the relaxation matrix, providing a mode-resolved diagnostic of hidden skin order.
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Non-Hermitian skin effect and electronic nonlocal transport
Non-Hermitian skin effect in Rashba nanowire with ferromagnetic lead produces nonreciprocal nonlocal conductance detectable by transport spectroscopy, with exceptional points shifting under open boundary conditions.
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Bound, antibound and resonance two-photon states in chiral waveguide QED
Theoretical derivation of the full two-photon dispersion ω(K) in chiral waveguide QED, revealing bound, antibound, resonance states across all K with gapless real part and applicability to finite arrays.
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Survival of Hermitian Criticality in the Non-Hermitian Framework
In the non-Hermitian XY model the scaling of ground-state correlations and entanglement entropy remains identical to the Hermitian version because Z2 symmetry breaking produces the ferromagnetic phase while U(1) symmetry emergence plus real-energy degeneracy produces the Luttinger liquid phase with
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Signatures of exceptional points in multiterminal superconductor-normal metal junctions
Exceptional points in a minimal multiterminal SN junction produce visible signatures in Andreev spectroscopy but only minor effects on Josephson current.
- Covariant formulation of the Berry connection in non-Hermitian systems