(2024-09-20) Seminar: Jules Lamers -- An invitation to long-range quantum integrability

发布者:杨璐发布时间:2024-09-18浏览次数:11


Jules Lamers 博士学术报告


Title: An invitation to long-range quantum integrability

Speaker: Jules Lamers

Affiliation: Institut de Physique Théorique, CEA - Saclay, France

Time: 16:00-17:00, Friday, 20th September, 2024 (UTC+8, Beijing Time)

Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)

Inviter: Yunfeng Jiang (江云峰)


Abstract  

Spin chain are quantum-mechanical models for magnetic materials. Special examples are (quantum) integrable: they have many conserved charges whose spectrum can be determined exactly thanks to a rich underlying algebraic structure. While one traditionally assumes that only neighbouring spins interact, there are also integrable spin chains with long-range interactions. Their integrability hinges on connections to quantum many-body systems of Calogero--Sutherland type. This is by now rather well understood in the (truly long-range) trigonometric case, but much less so in the elliptic (intermediate-range) case.

In this talk I will give an overview of the key results for integrable long-range chains, and outline how integrability works for these models.

Based on recent and ongoing work with R Klabbers (Humboldt U Berlin) and D Serban (IPhT).


Speaker

Dr. Jules Lamers is currently a postdoc at the Institut de Physique Théorique near Paris. He works on quantum integrability in between theoretical physics and mathematics.

https://blogs.unimelb.edu.au/jules-lamers/


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