苗原 博士学术报告
Title: Integrable Quantum Circuits from Statistical Mechanics
Speaker: Dr. Yuan Miao (苗原)
Affiliation: Galileo Galilei Institute for Theoretical Physics(伽利略伽利莱理论物理研究所)
Time: 14:00-15:00, Thursday, 11th April, 2023 (UTC+8, Beijing Time)
Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter: Yunfeng Jiang（江云峰）
Abstract
Quantum integrability has proven to be a useful tool to study quantum many-body systems out of equilibrium, which also has deep connections to mathematics and high energy physics. In the meantime, quantum circuits have become useful and versatile in simulating the dynamics of quantum many-body systems, especially after the experimental implementations recently. We present two general methods of constructing integrable quantum circuits, one through the Floquet Baxterisation procedure, the other through the star-triangle relation. As it turns out, the integrable quantum circuits can be cast into inhomogeneous transfer matrices of various types. We exemplify with two renowned models, i.e. staggered 6-vertex model and the Potts circuits. If time permits, we will present several generalisations and the applications to physical quantities.
References:
[1] Y.M., V. Gritsev and D. V. Kurlov, arXiv: 2206.15142
[2] Y.M. and E. Vernier, arXiv: 2302.12675
Speaker
Dr. Yuan Miao is the GGI BOOST postdoctoral fellow at the Galileo Galilei Institute for Theoretical Physics, INFN. He obtained the PhD in Theoretical Physics degree from Institute for Theoretical Physics, University of Amsterdam, under the supervision of Prof. Jean-Sébastien Caux. He specialises in exact solvable models, many-body systems out of equilibrium and other aspects of mathematical physics.