题目：Understanding Fidelity in Quantum Spin and Fermionic Chains with Random Matrix Ensembles
摘要：We present the random matrix formulation of the fidelity, also known as the Loschmidt echo (a quantum-mechanical amplitude), for various one-dimensional spin and fermionic chain models. This formulation naturally leads us to consider models that are the complex-weight counterpart of well-studied random matrix ensembles. This complex version is derived when describing the real-time dynamics of the quantum systems under study. By analysing these random matrix ensembles, we can identify and characterise new third-order dynamical quantum phase transitions.
时间：2025-06-23 16:00
地点：中国科学院大学中关村校区教学楼N106
主持人： 王东教授
报告人简介：Miguel Tierz’s research has focused on random matrix theory, gauge theories and strongly correlated quantum systems. His work provides rigorous analytical tools and exact solutions to understand phase transitions, gauge theories, and integrable models. His most recent research focuses on periodically driven quantum systems (Floquet physics) and their applications in quantum computation. He has published in a wide variety of journals, including Phys. Rev. X, Comm. Math. Phys, Phys Rev A and D, Quantum, JHEP and JSTAT, J. Math. Phys., Nucl. Phys. B, J. Comb. Theory A , among others.
Miguel Tierz defended his PhD at Universitat de Barcelona, Spain in 2008 with a thesis on Random matrix models in Chern-Simons theory. He completed postdoctoral research at Brandeis University in the US, the Hebrew University of Jerusalem in Israel, and Universidad Complutense de Madrid (UCM) in Spain. He has also been an Associate Professor in Lisbon, Portugal, and a Senior Researcher at UCM. He is currently a Visiting Professor at SIMIS in Shanghai.
