| Time：1121025 (Wed.) 14:20~16:20 Speaker：Prof.朱家誼(Chia-Yi Ju) 國立中山大學物理學系/Department of physics, National Sun Yat-sen University Title：Emergent dimensions, evolutions, and event-horizon-like phenomena Abstract：Some recent studies have shown that the Schrodinger equation can be realized geometrically. In this talk, we start with the motivation for such realization from quantum information in the non-Hermitian quantum regime; then, we briefly review some basic ideas of differential geometry (Riemannian geometry) and discuss its similarities/relations with quantum physics. Next, we demonstrate how the hidden dimensions can emerge naturally from parameter spaces and derive the evolution equations for quantum states along the emergent dimensions together with the equations for determining the geometry of the corresponding Hilbert space. Finally, we show an example of creating an event-horizon-like phenomenon with a two-qubit system. [1] C.-Y. Ju, A. Miranowicz, G.-Y. Chen, F. Nori, “Non-Hermitian Hamiltonians and no-go theorems in quantum information,” Phys. Rev. A 100, 062118 (2019). (URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.100.062118) [2] Y.-C. Tzeng, C.-Y. Ju, G.-Y. Chen, W.-M. Huang, “Hunting for the non-Hermitian exceptional points with fidelity susceptibility,” Phy. Rev. Research 3, 013015 (2021). (URL:https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.013015) [3] C.-Y. Ju, A. Miranowicz, Y.-N. Chen, G.-Y. Chen, F. Nori, “Emergent Parallel Trans- ports and Curvatures in Non-Hermitian Quantum Mechanics,” arXiv:2204.05657 [quant- ph] (2022). (URL: https://arxiv.org/abs/2204.05657) Place：S102, Gongguan Campus, NTNU |
