Theory Department
Max Planck Institute of Microstructure Physics
1997    
1998    
1999    
2000    
2001    
2002    
2003    
2004    
2005    
2006    
2007    
2008    
2009    
2010    
2011    
2012    
2013    
2014    
2015    
2016    
2017    
2018    
2019    
2020    
2021    
Theophilou, I., Lathiotakis, N. N., Marques, M. A. L., Helbig, N.

Generalized Pauli constraints in reduced density matrix functional theory
Journal of Chemical Physics 142, (15),pp 154108/1-7 (2015)
Functionals of the one-body reduced density matrix (1-RDM) are routinely minimized under Coleman\'s ensemble N-representability conditions. Recently, the topic of pure-state N-representability conditions, also known as generalized Pauli constraints, received increased attention following the discovery of a systematic way to derive them for any number of electrons and any finite dimensionality of the Hilbert space. The target of this work is to assess the potential impact of the enforcement of the pure-state conditions on the results of reduced density-matrix functional theory calculations. In particular, we examine whether the standard minimization of typical 1-RDM functionals under the ensemble N-representability conditions violates the pure-state conditions for prototype 3-electron systems. We also enforce the pure-state conditions, in addition to the ensemble ones, for the same systems and functionals and compare the correlation energies and optimal occupation numbers with those obtained by the enforcement of the ensemble conditions alone.

TH-2015-21