Fluctuating phase rigidity for a quantum chaotic system with partially broken time-reversal symmetry

@article{Langen1997FluctuatingPR,
  title={Fluctuating phase rigidity for a quantum chaotic system with partially broken time-reversal symmetry},
  author={S. A. van Langen and Piet W. Brouwer and C. W. J. Beenakker},
  journal={Physical Review E},
  year={1997},
  volume={55}
}
The functional {rho}={vert_bar}{integral}d{rvec r}{psi}{sup 2}{vert_bar}{sup 2} measures the phase rigidity of a chaotic wave function {psi}({rvec r}) in the transition between Hamiltonian ensembles with orthogonal and unitary symmetry. Upon breaking time-reversal symmetry, {rho} crosses over from one to zero. We compute the distribution of {rho} in the crossover regime and find that it has large fluctuations around the ensemble average. These fluctuations imply long-range spatial correlations… 

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