SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 44: Poster: Statistical Physics

DY 44.4: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Thermodynamics of su(n)-symmetric integrable models and their continuum limit — •Ingryd Passos and Andreas Klümper — Bergische Universität Wuppertal, Wuppertal, Germany

Traditionally the computation of the partition function of integrable quantum chains is achieved by means of the thermodynamic Bethe ansatz (TBA). On the other hand, an alternative formulation which relies on finite sets of nonlinear integral equations has been developed and successfully applied to seminal cases like for example the spin-1/2 Heisenberg chain, the supersymmetric t-J model and quantum chains with su(3) and su(4) invariance. This approach, known as the Quantum Transfer Matrix (QTM) method, allows for faster numerical computations and calculation of finite temperature correlation lengths. However, the derivation of these alternative equations was done in case by case studies in which by trial and error suitable auxiliary functions were identified. Another shortcoming of the QTM method is its applicability in the case of continuum integrable models. A way to circumvent this issue is to identify the proper lattice model from which the continuum model follows after a suitable scaling limit. This way, it is possible, for example, to determine the thermodynamics of multicomponent Bose gases from anisotropic spin chains. In this work we present a way to derive systematically finite sets of nonlinear integral equations for su(n)-symmetric integrable lattice models and discuss a scaling limit of these equations in the case of the su(3)-invariant anisotropic spin chain.

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