# 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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