2005/08/31 by Shunsuke Furukawa, Grégoire Misguich, Gregoire Misguich +1 · 38 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Applied mathematics #Combinatorics #Degenerate energy levels #Density matrix #Mathematics #Order (exchange) #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Scalar (mathematics) #Statistical physics #Theoretical physics #Topology (electrical circuits) #Wave function #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.96.047211
published in Physical Review Letters 96(4), 047211 (American Physical Society) · 4 pages, 3 figures
openalex publication_date 2006/02/03 · arxiv created 2006/02/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 the 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 that are considered to exhibit dimer, scalar chiral, and topological orders.