Non-Hermitian multi-band twister models are simulated on quantum hardware via a direct measurement protocol that extracts braid information and knot invariants such as Alexander and Jones polynomials, demonstrated on the Hopf chain and Solomon's knot.
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The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
Photon anomalous blockade arises via the quantum Zeno effect in weakly driven waveguide cavity QED with atomic mirrors, even in bad cavities with large dissipation and weak coupling.
A gauge-invariant non-Hermitian quantum theory is developed that generalizes the dynamical phase transition condition from Hermitian d-vector dot product zero to a real-part normalized dot product condition and identifies new transitions not captured by winding numbers.
citing papers explorer
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Digital Simulation of Non-Hermitian Knotted Bands on Quantum Hardware
Non-Hermitian multi-band twister models are simulated on quantum hardware via a direct measurement protocol that extracts braid information and knot invariants such as Alexander and Jones polynomials, demonstrated on the Hopf chain and Solomon's knot.
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Quantum geometry of the non-Hermitian skin effect
The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
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Photon Anomalous Blockade in Waveguide Cavity QED with Atomic Mirrors
Photon anomalous blockade arises via the quantum Zeno effect in weakly driven waveguide cavity QED with atomic mirrors, even in bad cavities with large dissipation and weak coupling.
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Gauge-Invariant Non-Hermitian Quantum Theory: Foundation and Applications to Dynamical Phase Transitions
A gauge-invariant non-Hermitian quantum theory is developed that generalizes the dynamical phase transition condition from Hermitian d-vector dot product zero to a real-part normalized dot product condition and identifies new transitions not captured by winding numbers.