Title: Bootstrapping the gap of quantum many-body systems

Speaker: Dr. Yuan XIN （辛苑）

Affiliation:  Carnegie Mellon University（卡耐基梅隆大学）

Time: 13:00-14:00, Wednesday, 6th September, 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: ZhiJin LI （李志金）

Abstract  

Determining the long-range phase of matter of a strongly coupled system from its microscopic description has long been one of the central topics in physics. What makes it difficult is the fact that simple microscopic systems often become strongly coupled at long range where few methods are available. Significant progress is recently made in this aspect with bootstrap approaches on the lattice. In this talk, I will introduce a new bootstrap method for quantum many-body problems. The method is general and we test it on the (1+1)-dimensional transverse field Ising model, where we show that the Hamiltonian equations of motion, translational invariance and global symmetry selection rules impose a rigorous bound on the gap and correlators of local operators. Our method provides a way to probe the low energy spectrum of an infinite lattice from the Hamiltonian rigorously and without approximation.

Speaker

辛苑，2020年在波士顿大学获得理论物理博士学位，导师是Liam Fitzpatrick，于2020-2023年在耶鲁大学做博士后，拿到Mossman fellowship，2023年起在卡耐基梅隆大学做博士后。