Speaker: Yuan Xin (Carnegie Mellon)
Time: 2025-07-04 16:00
Location: R1610, SIMIS
Zoom Meering ID: 869 0689 1501 (Passcode: 353918)
Abstract：
Predicting the emergent behaviors of systems with large degrees of freedom is at the heart of modern physics. In this talk, I will introduce a recent method that provides rigorous bounds on quantum mechanical systems in the thermodynamic limit, i.e. when degrees of freedom goes to infinity. The method puts together a hierarchy of constraints from locality, equations of motion and probability positivity and can rigorously bound ground state energy, order parameters, and gap. An improved algorithm that is inspired by Density Matrix Renormalization Group theory can drastically increase the computation efficiency. I will also introduce the application to finite temperature systems and out-of-equilibrium systems.
Speaker Bio:
Yuan Xin is currently a postdoctoral researcher at Carnegie Mellon University. He will be joining SIMIS as an Assistant Professor starting from Fall 2025. He completed his PhD at Boston University in 2020, under the supervision of Professor Liam Fitzpatrick, and was a postdoctoral fellow at Yale University until 2023. His main areas of research comprise bootstrap, Hamiltonian truncation, and DMRG to study low dimension quantum systems.
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