Speaker: Kazuya Fujimoto (Tokyo Institute of Technology)

Date & Time: 10am, June 27, 2022.

Title: Dynamical scaling of surface roughness in a dephasing open quantum system

Abstract:

Dynamical scaling developed in classical surface growth is recently explored in isolated quantum systems [1-5]. Against this background, we pose a fundamental question: Does such dynamical scaling emerge in open quantum systems? To answer this question, using a dephasing Lindblad equation, we numerically and analytically study the one-dimensional open quantum system in terms of the Family-Vicsek scaling of the surface roughness. Our exact numerical calculation finds that the Family-Vicsek scaling emerges in the open quantum system and that the scaling exponents are close to those of the Edwards-Wilkinson equation, which is the classical surface growth model characterized by the diffusive dynamical exponent z=2. We analytically explain the emergence of the diffusive dynamics by applying a perturbative renormalization-group-analysis to the Lindblad equation. In our talk, we will show the details of our numerical and analytical results [6].

[1] M. Ljubotina, M. Žnidarič, and T. Prosen, Phys. Rev. Lett. 122, 210602 (2019).

[2] J. D. Nardis, M. Medenjak, C. Karrasch, and E. Ilievski, Phys. Rev. Lett. 123, 186601 (2019); Phys. Rev. Lett. 124, 210605 (2020)

[3] M. Dupont, J. E. Moore, Phys. Rev. B 101, 121106 (2020).

[4] K. Fujimoto, R. Hamazaki, and Y. Kawaguchi, Phys. Rev. Lett. 124, 210604 (2020); Phys. Rev. Lett. 127, 090601 (2021).

[5] D. Wei, A. Rubio-Abadal, B. Ye, F. Machado, J. Kemp, K. Srakaew, S. Hollerith, J. Rui, S. Gopalakrishnan, N. Y. Yao, I. Bloch, and J. Zeiher, Science 376, 716 (2022).

[6] K. Fujimoto, R. Hamazaki, and Y. Kawaguchi, arXiv:2202.02176.