An operator-frame principal bundle with an Ehresmann connection yields a quantum geometric tensor that remains analytic across vacuum-instability phase transitions where conventional state-space geometry fails.
Essay: Where can quantum geometry lead us?Phys
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Introduces a universal dimensionless instability parameter based on quantum-state evolution speed versus spectral-gap protection, plus a self-limitation theorem for nonlinear regulators in driven quantum systems.
Curvature in thin ferromagnetic shells induces intrinsic nonlinear anomalous Hall effects governed by the quantum metric and Berry curvature dipole.
citing papers explorer
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Operator-frame geometry of non-compact quantum systems with frame-vacuum phase transitions
An operator-frame principal bundle with an Ehresmann connection yields a quantum geometric tensor that remains analytic across vacuum-instability phase transitions where conventional state-space geometry fails.
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Geometric Instability and Self-Limitation in Driven Quantum Systems
Introduces a universal dimensionless instability parameter based on quantum-state evolution speed versus spectral-gap protection, plus a self-limitation theorem for nonlinear regulators in driven quantum systems.
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Curvature-induced nonlinear anomalous Hall effect in thin magnetic shells
Curvature in thin ferromagnetic shells induces intrinsic nonlinear anomalous Hall effects governed by the quantum metric and Berry curvature dipole.