北京雁栖湖应用数学研究院

李淇明 , 安东·普里比托克 , 侯赛因·亚瓦尔塔努

Yunfeng Jiang

2026年03月19日 14:30 至 16:00

A7-302

Zoom 388 528 9728 (BIMSA)

Integrable quantum circuits form a novel class of quantum integrable models in which the dynamics is generated by unitary quantum gates. Among these, the integrable brickwork circuit serves as a paradigmatic example and can be solved exactly using integrability techniques such as the Bethe ansatz. A natural observable in such models is the correlation function of a string of spin operators. In the long-time limit, the zeros of these correlation functions condense onto curves in the complex plane, partitioning it into distinct regions. Each region corresponds to a different dynamical phase, characterized by qualitatively distinct asymptotic behavior of the correlation functions. We investigate a family of integrable brickwork circuits closely related to the XXZ spin chain. By tuning a parameter analogous to the anisotropy in the XXZ model, we observe a sharp transition in the condensation pattern of the Lee–Yang zeros, signaling a dynamical phase transition. In this talk, I will first introduce the integrable brickwork circuit and then present the method for exact computation of correlation functions. Finally, I will discuss the structure of Lee–Yang zeros and their implications for dynamical phase transitions.