Working Seminar on Mathematical Physics of HSE University and Skoltech Krichever Center: Yunfeng Jiang (School of Physics and Shing-Tung Yau Center Southeast Univ.)

Integrability in quasi-one-dimensional quantum magnet

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 CoNb2O6. 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
Seminar's sites:
http://crei.skoltech.ru/cas/ru/calendar-ru/sem-wed-ru/

https://crei.skoltech.ru/cas/calendar/sem-wed/