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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Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
Families of nonlinear skin modes emerge from linear ones in the Hatano-Nelson model with Kerr nonlinearity, exhibiting enhanced localization for focusing and reduced localization for defocusing nonlinearity.
Weak anharmonicity induces dissipation into dark states of photon-emitter pairs; first- and second-order perturbative corrections to the wavefunction are derived and applied to the master equation.
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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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Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
Generalized entanglement entropies are constructed via left-, right-, and bi-invariant unit-invariant singular value decompositions to ensure scale invariance for non-Hermitian and rectangular operators in quantum mechanics, random matrices, and Chern-Simons theory.
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Skin modes in a nonlinear Hatano-Nelson model
Families of nonlinear skin modes emerge from linear ones in the Hatano-Nelson model with Kerr nonlinearity, exhibiting enhanced localization for focusing and reduced localization for defocusing nonlinearity.
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Perturbative Analysis of Dark State Dynamics in Weakly Anharmonic Photon-Emitter Pairs
Weak anharmonicity induces dissipation into dark states of photon-emitter pairs; first- and second-order perturbative corrections to the wavefunction are derived and applied to the master equation.