RQC Seminar

55th RQC Seminar

  • 講演者

    Prof. Chia-Yi Ju
    ( Department of Physics, National Sun Yat-Sen University, Taiwan )

  • 日程

    2023年6月27日（火） 16:00-17:00

  • 開催場所

    ハイブリッド（ZOOM・ 研究本館3階 セミナー室(345-347) C01）

  • 講演タイトル

    How hidden dimensions can emerge naturally from parameter spaces and derive the evolution equations for quantum states

  • お問合せ

    rqc_info[at]ml.riken.jp

講演概要
Some recent studies have shown that the Schr¨odinger 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[1]ports and Curvatures in Non-Hermitian Quantum Mechanics,” arXiv:2204.05657 [quant[1]ph] (2022). (URL: https://arxiv.org/abs/2204.05657)


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