Document Type
Article
Department/Program
Mathematics
Journal Title
New Journal of Physics
Pub Date
2015
Volume
17
Abstract
In this paper, we discuss the connection between two genuinely quantum phenomena-the discontinuity of quantum maximum entropy inference and quantum phase transitions at zero temperature. It is shown that the discontinuity of the maximum entropy inference of local observable measurements signals the non-local type of transitions, where local density matrices of the ground state change smoothly at the transition point. We then propose to use the quantum conditional mutual information of the ground state as an indicator to detect the discontinuity and the non-local type of quantum phase transitions in the thermodynamic limit.
Recommended Citation
Chen, Jianxin; Ji, Zhengfeng; Yu, Nengkun; and Li, Chi-Kwong, Discontinuity of maximum entropy inference and quantum phase transitions (2015). New Journal of Physics, 17.
10.1088/1367-2630/17/8/083019
DOI
10.1088/1367-2630/17/8/083019
