2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1997

Reduced density matrix functional theory for bosons

Authors: C.L. Benavides-Riveros, J. Wolff, M.A.L. Marques, and C. Schilling

Ref.: Phys. Rev. Lett. 124, 180603 (2020)

Abstract: Based on a generalization of Hohenberg-Kohn’s theorem, we propose a ground state theory for bosonic quantum systems. Since it involves the one-particle reduced density matrix γ as a variable but still recovers quantum correlations in an exact way it is particularly well-suited for the accurate description of Bose-Einstein condensates. As a proof of principle we study the building block of optical lattices. The solution of the underlying v-representability problem is found and its peculiar form identifies the constrained search formalism as the ideal starting point for constructing accurate functional approximations: The exact functionals F[γ] for this N-boson Hubbard dimer and general Bogoliubov-approximated systems are determined. For Bose-Einstein condensates with NBEC≈N condensed bosons, the respective gradient forces are found to diverge, providing a comprehensive explanation for the absence of complete condensation in nature.

Citations: 9 (Google scholar)

DOI: 10.1103/PhysRevLett.124.180603

URL: arxiv.org

Download

Bibtex:

@article{Benavides_Riveros_2020,
	doi = {10.1103/physrevlett.124.180603},
	url = {https://doi.org/10.1103%2Fphysrevlett.124.180603},
	year = 2020,
	month = {may},
	publisher = {American Physical Society ({APS})},
	volume = {124},
	number = {18},
	author = {Carlos L. Benavides-Riveros and Jakob Wolff and Miguel A.{\hspace{0.167em}}L. Marques and Christian Schilling},
	title = {Reduced Density Matrix Functional Theory for Bosons},
	journal = {Physical Review Letters}
}