Correlation density matrix : an unbiased analysis of exact diagonalizations

• Main Authors: Henley, Christopher L., Cheong, Siew Ann
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2009
• Subjects: DRNTU::Science::Physics::Atomic physics::Solid state physics
• Online Access: https://hdl.handle.net/10356/91825; http://hdl.handle.net/10220/6108
• Institution: Nanyang Technological University

Given the ground-state wave function for an interacting lattice model, we define a “correlation density matrix” (CDM) for two disjoint separated clusters A and B to be the density matrix of their union minus the direct product of their respective density matrices. The CDM can be decomposed systematically by a numerical singular-value decomposition to provide a systematic and unbiased way to identify the operator(s) dominating the correlations, even unexpected ones.