Systematic Derivation of Order Parameters through Reduced Density Matrices

Furukawa, Shunsuke; Misguich, Gregoire; Oshikawa, Masaki

Systematic Derivation of Order Parameters through Reduced Density Matrices

Authors

Furukawa, Shunsuke

Misguich, Gregoire

Oshikawa, Masaki

Description

A systematic method for determining order parameters for quantum many-body systems on lattices is developed by utilizing reduced density matrices. This method allows one to extract the order parameter directly from the wave functions of the degenerate ground states without aid of empirical knowledge, and thus opens a way to explore unknown exotic orders. The applicability of this method is demonstrated numerically or rigorously in models which are considered to exhibit dimer, scalar chiral, and topological orders.
4 pages, 3 figures