Marko Ćosić

Vinča Institute of Nuclear Sciences, Serbia

7 March 2023 Tue 4 pm

                                      IBS Center for Theoretical Physics of Complex Systems (PCS), Administrative Office (B349), Theory Wing, 3rd floor

                                      Expo-ro 55, Yuseong-gu, Daejeon, South Korea, 34126 Tel: +82-42-878-8633                     

The freedom to define branch cuts of the complex function is used to derive an integral representation of the quantum carpet, thus producing a generalization of the Poincare recurrence theorem in the case of the continuous spectrum. This approach provides a new way to renormalize resonant states as space and time-convergent. The coherence of quantum carpets was related to the properties of the Wigner function in the canonical time-frequency phase space. It has been shown that distortion of the Wigner function shape is directly responsible for the dynamics' inability to produce revivals as sharp as the initial wave packet.

  1. the quantum carpets in a leaky-box: poincare’s recurrences in the continuous spectrum