1202.1965 (Tatsuhiko N. Ikeda et al.)

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

Tatsuhiko N. Ikeda, Yu Watanabe, Masahito Ueda

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.

View original: http://arxiv.org/abs/1202.1965