Speaker: Kohei Kawabata (ISSP)

Date: Nov. 25th (Mon.), 16:30-18:00

Style: Zoom

参加 Zoom ミーティング

https://kyoto-u-edu.zoom.us/j/91562221192?pwd=LBmGYSZIC832sz19QXOofIc3rUhMYY.1

ミーティング ID: 915 6222 1192

パスコード: 1234

Title: Symmetry classification of non-Hermitian random matrices and open quantum systems

Abstract:

Non-Hermitian random matrices have been employed across diverse areas of science. However, the influence of symmetry and the corresponding classification of their universality classes have been largely unclear. Here, we present a series of our works on the classification of non-Hermitian random matrices based on the 38-fold fundamental symmetry. Furthermore, we demonstrate that non-Hermitian random matrices lay the foundation for quantum chaos in various open systems.

References

[1] K. Kawabata, K. Shiozaki, M. Ueda, and M. Sato, Phys. Rev. X 9, 041015 (2019).

[2] R. Hamazaki, K. Kawabata, N. Kura, and M. Ueda, Phys. Rev. Research 2, 023286 (2020).

[3] Z. Xiao, K. Kawabata, X. Luo, T. Ohtsuki, and R. Shindou, Phys. Rev. Research 4, 043196 (2022).

[4] K. Kawabata, Z. Xiao, T. Ohtsuki, and R. Shindou, PRX Quantum 4, 040312 (2023).

[5] Z. Xiao, R. Shindou, and K. Kawabata, Phys. Rev. Research 6, 023303 (2024).