Det-Det correlations for quantum maps: Dual pair and saddle-point analyses
Det-Det correlations for quantum maps: Dual pair and saddle-point analyses
An attempt is made to clarify the ballistic non-linear sigma model formalism recently proposed for quantum chaotic systems, by the spectral determinant Z(s)=Det(1-sU) of a quantized map U element of U(N). More precisely, we study the correlator omega_U(s)=<|Z(st)|^2> (averaging t over the unit circle). Identifying the group U(N) as one …