## Video URL

https://pirsa.org/24030126# Quantum Many-body Bootstrap

### APA

Xin, Y. (2024). Quantum Many-body Bootstrap. Perimeter Institute for Theoretical Physics. https://pirsa.org/24030126

### MLA

Xin, Yuan. Quantum Many-body Bootstrap. Perimeter Institute for Theoretical Physics, Mar. 26, 2024, https://pirsa.org/24030126

### BibTex

@misc{ scivideos_PIRSA:24030126, doi = {10.48660/24030126}, url = {https://pirsa.org/24030126}, author = {Xin, Yuan}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Quantum Many-body Bootstrap}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2024}, month = {mar}, note = {PIRSA:24030126 see, \url{https://scivideos.org/pirsa/24030126}} }

Yuan Xin Carnegie Mellon University

**Source Repository**PIRSA

**Collection**

**Talk Type**Scientific Series

**Subject**

## 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. Simple microscopic systems often become strongly coupled at long range where we usually rely on clever approximations. Bootstrap is an alternative approach that uses positivity and equations of motion to make predictions in quantum many-body systems without making approximations. In this talk, I will show my recent work on using bootstrap to compute the ground state energy, local observables and gaps of a quantum many-body system in the thermodynamic limit with rigorous error bars.

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