Imaginary magnetic fields induce exceptional points in neutral meson mass spectra computed via hadronic effective Lagrangian and constituent quark models, separating real and complex eigenvalue regimes.
Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
9 Pith papers cite this work, alongside 842 external citations. Polarity classification is still indexing.
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abstract
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hamiltonian admitting a complete set of biorthonormal eigenvectors.
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Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.
A pseudo-unitary quasiperiodic quantum walk model exhibits a novel mobility edge sharply dividing metallic and insulating phases plus a second transition unique to discrete time, with PT-symmetry breaking quantified by spectral winding number.
The index of non-Hermitian Dirac operators that anticommute with a chirality operator is topologically protected when the operators are diagonalizable and elliptic.
Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.
Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.
A density matrix approach to non-Hermitian two-flavor neutrino oscillations shows steady-state probabilities not necessarily 1/2, indicating non-Markovian behavior.
Non-Hermitian systems admit equivalent descriptions in isomorphic Hilbert spaces related by Krein metrics, with physical quantities transported accordingly; illustrated on a two-level spin model via Robertson uncertainty relation as consistency test.
citing papers explorer
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Hadronic exceptional points
Imaginary magnetic fields induce exceptional points in neutral meson mass spectra computed via hadronic effective Lagrangian and constituent quark models, separating real and complex eigenvalue regimes.
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Complex Wannier centers and drifting Wannier functions in non-Hermitian Hamiltonians
Complex Wannier centers derived from nonunitary Wilson loops in non-Hermitian Hamiltonians predict directional drift of Wannier functions and a bulk-boundary correspondence for filling anomalies and gain/loss in edge modes.
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Mobility edges in pseudo-unitary quasiperiodic quantum walks
A pseudo-unitary quasiperiodic quantum walk model exhibits a novel mobility edge sharply dividing metallic and insulating phases plus a second transition unique to discrete time, with PT-symmetry breaking quantified by spectral winding number.
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Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators
The index of non-Hermitian Dirac operators that anticommute with a chirality operator is topologically protected when the operators are diagonalizable and elliptic.
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CFT Dual for Timelike Geodesic in Lorentzian dS
Timelike geodesic-integrated Wightman functions in dS are dual to bulk-operator correlators with a linear combination of an OPE block and its Casimir partner.
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Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
Generalized quantum dimensions from SymTFTs classify massless and massive RG flows in pseudo-Hermitian systems and relate coset constructions to domain walls.
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Two flavor neutrino oscillations in presence of non-Hermitian dynamics
A density matrix approach to non-Hermitian two-flavor neutrino oscillations shows steady-state probabilities not necessarily 1/2, indicating non-Markovian behavior.
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Metric Congruence in Finite-Dimensional Non-Hermitian Quantum Mechanics
Non-Hermitian systems admit equivalent descriptions in isomorphic Hilbert spaces related by Krein metrics, with physical quantities transported accordingly; illustrated on a two-level spin model via Robertson uncertainty relation as consistency test.
- Monotonic and non-Nonmonotonic Impurity Entropy flows in a $\mathscr{PT}$-Symmetric Kondo Model