In a two-parameter family of quadratic bosonic Hamiltonians from a modified bosonic SSH model, topological phase transitions occur along lines of Krein collisions and topological classification holds in both stable and unstable regimes via symplectic Berry phase and index theory.
Riemannian structure on mani- folds of quantum states
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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.
QRSI spans degenerate quantum eigenspaces almost surely by conjugating the Hamiltonian with random unitaries on g parallel branches and using subspace estimation, while exactly preserving the spectral gap.
Establishes bound relations between electronic properties in magnetic crystals, including a new lower bound on susceptibility for Chern insulators and generalization of Chern bounds to three dimensions.
Berry Phase Rate and other geometric observables from learned spectral embeddings of equity-index returns detect financial regime shifts with competitive out-of-sample performance and lower false-alarm rates than supervised baselines.
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
The AMT parameter equals the squared Fubini-Study speed of the driven state and the tt-component of the quantum geometric tensor, supplying a strictly local criterion for nonadiabatic instability that an occupation-dependent nonlinear regulator U can suppress to produce bounded low-occupancy bosonic
citing papers explorer
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Decoupling band topology from criticality in bosonic systems
In a two-parameter family of quadratic bosonic Hamiltonians from a modified bosonic SSH model, topological phase transitions occur along lines of Krein collisions and topological classification holds in both stable and unstable regimes via symplectic Berry phase and index theory.
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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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Quantum Randomized Subspace Iteration
QRSI spans degenerate quantum eigenspaces almost surely by conjugating the Hamiltonian with random unitaries on g parallel branches and using subspace estimation, while exactly preserving the spectral gap.
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Electronic bounds in magnetic crystals
Establishes bound relations between electronic properties in magnetic crystals, including a new lower bound on susceptibility for Chern insulators and generalization of Chern bounds to three dimensions.
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Geometric Observables for Financial Regime Detection
Berry Phase Rate and other geometric observables from learned spectral embeddings of equity-index returns detect financial regime shifts with competitive out-of-sample performance and lower false-alarm rates than supervised baselines.
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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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Quantum Geometric Origin of Non-Adiabatic Instability in Driven Bosonic Systemss
The AMT parameter equals the squared Fubini-Study speed of the driven state and the tt-component of the quantum geometric tensor, supplying a strictly local criterion for nonadiabatic instability that an occupation-dependent nonlinear regulator U can suppress to produce bounded low-occupancy bosonic