Finite-Size Scaling Analysis of the Eigenstate Thermalization Hypothesis in a One-Dimensional Interacting Bose gas

Details Finite-Size Scaling Analysis of the Eigenstate Thermalization Hypothesis in a One-Dimensional Interacting Bose gas Finite-Size Scaling Analysis of the Eigenstate Thermalization Hypothesis in a One-Dimensional Interacting Bose gas

2012-02-09

arxiv.org/abs/1202.1965v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

By calculating correlation functions of 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 for isolated quantum systems, and find the ETH holds in the thermodynamic limit even for an integrable system. However, we show that the ETH gives only a logarithmic correction to other thermalization mechanisms such as the eigenstate randomization hypothesis and the typicality argument for the microcanonical ensemble.

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