Universität zu Köln

Broecker, Peter and Trebst, Simon ORCID: 0000-0002-1479-9736 (2016). Entanglement and the fermion sign problem in auxiliary field quantum Monte Carlo simulations. Phys. Rev. B, 94 (7). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

Quantum Monte Carlo simulations of fermions are hampered by the notorious sign problem whose most striking manifestation is an exponential growth of sampling errors with the number of particles. With the sign problem known to be an NP-hard problem and any generic solution thus highly elusive, the Monte Carlo sampling of interacting many-fermion systems is commonly thought to be restricted to a small class of model systems for which a sign-free basis has been identified. Here we demonstrate that entanglement measures, in particular the so-called Renyi entropies, can intrinsically exhibit a certain robustness against the sign problem in auxiliary-field quantum Monte Carlo approaches and possibly allow for the identification of global ground-state properties via their scaling behavior even in the presence of a strong sign problem. We corroborate these findings via numerical simulations of fermionic quantum phase transitions of spinless fermions on the honeycomb lattice at and below half filling.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Broecker, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED Trebst, Simon UNSPECIFIED orcid.org/0000-0002-1479-9736 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-266382
DOI:	10.1103/PhysRevB.94.075144
Journal or Publication Title:	Phys. Rev. B
Volume:	94
Number:	7
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ENTROPY; SYSTEMS; LIQUIDS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26638