Quantum transport through ballistic cavities: soft vs hard quantum chaos
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Updated: Aug 7, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Huckestein1, Ketzmerick, Lewenkopf
1Institut fur Theoretische Physik, Universitat zu Koln, D-50937 Koln, Germany.
Abstract:
We study transport through a two-dimensional billiard attached to two infinite leads by numerically calculating the Landauer conductance and the Wigner time delay. In the generic case of a mixed phase space we find a power-law distribution of resonance widths and a power-law dependence of conductance increments apparently reflecting the classical dwell time exponent, in striking difference to the case of a fully chaotic phase space. Surprisingly, these power laws appear on energy scales below the mean level spacing, in contrast to semiclassical expectations.
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