Correlation density matrix : an unbiased analysis of exact diagonalizations

Correlation density matrix : an unbiased analysis of exact diagonalizations

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 systemati...

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Bibliographic Details
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
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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