For a two-parameter random-matrix Hamiltonian, the averaged quantum metric becomes a lower hemisphere in the ergodic phase and a cone with a pi/2 aperture angle near the integrable point, with a distinct intermediate non-ergodic regime.
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Hilbert space geometry and quantum chaos
For a two-parameter random-matrix Hamiltonian, the averaged quantum metric becomes a lower hemisphere in the ergodic phase and a cone with a pi/2 aperture angle near the integrable point, with a distinct intermediate non-ergodic regime.