NCTS (South)




FIELDQuantum Information Science

SPEAKER Dr. Chia-Yi Ju(朱家誼) - 中興大學物理系

TITLEThe Hilbert Space Dynamics and Deformation

ABSTRACTIt has been argued that the existence of non-Hermitian quantum mechanics would contradict with many phenomena and ideas taken for granted in the quantum information community. These notorious facts often lead to the conclusion that either some physics laws need to be forfeited or non-Hermitian quantum mechanics just does not exist in the first place. Nevertheless, we found that modifying the geometry of the Hilbert space, where the quantum states lie in, might be a solution to these paradoxes. In this talk, we will demonstrate how the geometric information of the Hilbert space can be extracted from the Schroedinger’s equation. It can be shown that the Hilbert space metric becomes nontrivial or even evolve with time in non-Hermitian quantum systems. Following the same geometric route, we propose how the Hilbert space metric/geometry is affected by the quantum system.