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Parametric correlations of energy spectra of quantum chaotic systems arepresented in the orthogonal-unitary and symplectic-unitary crossover region.The spectra are allowed to disperse as a function of two externalperturbations: one of which preserves time-reversal symmetry, while the otherviolates it. Exact analytical expressions for the parametric two-pointautocorrelation function of the density of states are derived in the crossoverregion by means of the supermatrix method. For the orthogonal-unitarycrossover, the velocity distributions is determined and shown to deviate fromGaussian.Comment: 11 pages + 1 postscript file (compressed and uuencoded), REVTeX3,  MIT-CMT-NT0

Crossover Driven by Time-Reversal Symmetry Breaking in Quantum Chaos