Level and width statistics for a decaying chaotic system

The random matrix ensemble of discretized effective non-hermitian hamiltonians is used for studying local correlations and fluctuations of energies and widths in a quantum system where intrinsic levels are coupled to the continuum via a common decay channel. With the use of analytical estimates and numerical simulations, generic properties of statistical observables are obtained for the regimes of weak and strong continuum coupling as well as for the transitional region. Typical signals of the transition (width collectivization, disappearance of level repulsion at small spacings and violation of uniformity along the energy axis) are discussed quantitatively. (orig.)