Geometric phase curvature for random states

@inproceedings{Berry2018GeometricPC,
  title={Geometric phase curvature for random states},
  author={Michael V. Berry and Pragya Shukla},
  year={2018}
}
The probability distribution of the geometric curvature C (2-form) governing the geometric phase of transported quantum states is calculated for N × N matrix Hamiltonians generated from the Gaussian unitary ensemble, and depending on two parameters x, y. The distributions take the form of scaling functions, different for N = 2 and N > 2 but both decaying asymptotically as 1/|C|5/2, with scalings depending on x, y and N. 
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