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Lenart Zadnik: Revisiting the large-anisotropy limit of the antiferromagnetic Heisenberg model

Date: 17. 9. 2020
Source: Mathematical physics seminar
Torek, 22. 9. 2020, ob 14:15am, Kuščerjev seminar Več informacij na spletni strani seminarja https://chaos.fmf.uni-lj.si/

Lenart Zadnik (Universite Paris-Saclay)

 

We will discuss the effective Hamiltonian that generates time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, such an effective Hamiltonian describes an integrable model with local interactions. I will present a full coordinate Bethe Ansatz solution that manifestly breaks the translational symmetry of the model, and describe its quasi-particle content. The corresponding Bethe equations are completely solvable, allowing for exact characterisation of degeneracies, as well as specification of a generic (thermodynamically relevant) state. I will also discuss jammed states and their stability under the leading correction to the effective Hamiltonian. Finally, if time permits, I will also visit the subjects of Thermodynamic Bethe Ansatz and Generalised Hydrodynamics.

 

More information on the seminar webpage.