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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Finite-size scaling analysis of the eigenstate thermalization hypothesis in a one-dimensional interacting Bose gas
Tatsuhiko N Ikeda1, Yu Watanabe, Masahito Ueda
1Department of Physics, University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan.
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.
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