title: Finite-size scaling analysis of the eigenstate thermalization hypothesis in a one-dimensional interacting Bose gas.
abstract: By calculating correlation functions for the Lieb-Liniger model based on the algebraic Bethe ansatz method, we conduct a finite-size scaling analysis of the eigenstate thermalization hypothesis (ETH), which is considered to be a possible mechanism of thermalization in isolated quantum systems. We find that the ETH in a weak sense holds in the thermodynamic limit even for an integrable system, although it does not hold in the strong sense. Based on the result of the finite-size scaling analysis, we compare the contribution of the weak ETH to thermalization with that of yet another thermalization mechanism, the typicality, and show that the former gives only a logarithmic correction to the latter.
authors: Department of Physics, University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan.
authors: Tatsuhiko N
authors: TN
authors: Ikeda
authors: Yu
authors: Y
authors: Watanabe
authors: Masahito
authors: M
authors: Ueda
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D005740:Gases / Q000737:chemistry*; D008956:Models, Chemical; D008958:Models, Molecular; D015233:Models, Statistical; D011789:Quantum Theory; D013816:Thermodynamics
chemical_list: D005740:Gases