Integrability in quasi-one-dimensional quantum magnet
Organizers
Speaker
Yunfeng Jiang
Time
Thursday, June 6, 2024 2:00 PM - 3:00 PM
Venue
A3-1-301
Online
Zoom 637 734 0280
(BIMSA)
Abstract
Quantum integrable systems are exactly solvable many-body systems which exhibit rich and beautiful mathematical structures. For a while they were considered to be toy models which are only of interest for mathematical physics. In recent years, however, quantum integrable systems emerge from a plethora of experiments ranging from cold atom experiments, quantum material and superconducting quantum circuits. In this talk, we report recent results on quantum integrability in a quasi-one-dimensional quantum magnet CoNb$_2$O$_6$. Its low energy spin dynamics can be described by a quantum Ising ladder composed of two weakly coupled critical transverse field Ising chains. In the continuum limit, the Ising ladder is described by a massive integrable quantum field theory whose scattering matrix and spectrum are characterized by the $D_8^{(1)}$ Lie algebra. We will discuss this model and its emergent integrability. In particular, we compute dynamical structure factors analytically using form factor bootstrap approach and compare the result with numerical calculations and experiments.