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Real-time edge dynamics of non-Hermitian lattices

Published in arXiv preprint, 2025

We derived saddle-point asymptotic formulae for two-point Green’s functions on non-Hermitian lattices. This can characterize the dynamics of non-Hermitian skin modes, wave packets in dissipative media, and spectral densities of quasi-particles with finite lifetime.

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Integrals of motion as slow modes in dissipative many-body operator dynamics

Published in arXiv preprint, 2025

We analyzed the structure of the spectrum of Lindbladians where the underlying Hamiltonian has integrals of motions (IOMs), and the dissipation is weak and local. We showed that certain slow modes stand out in the spectrum by having slow decay rates, which have a correspondence to the IOMs of the Hamiltonian.

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talks

Edge effective theory of non-Hermitian lattices

Published:

As an informal seminar during a conference at YITP, I introduced my recent work with Prof. Chen Fang, in which we provided a theory to characterize the Green’s function on the edge of non-Hermitian lattices that experience the non-Hermitian skin effect. These results will appear in a preprint soon.

teaching

Electromagnetism, Spring 2023 @ PKU

Undergraduate course, Peking University, 2023

Teaching assistant for the undergraduate course “Electromagnetism”, semster Spring 23, with Prof. Shina Tan. Awarded “outstanding TA”.