Universität zu Köln

Broecker, Peter and Trebst, Simon ORCID: 0000-0002-1479-9736 (2016). Numerical stabilization of entanglement computation in auxiliary-field quantum Monte Carlo simulations of interacting many-fermion systems. Phys. Rev. E, 94 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

Full text not available from this repository.

Abstract

In the absence of a fermion sign problem, auxiliary-field (or determinantal) quantum Monte Carlo (DQMC) approaches have long been the numerical method of choice for unbiased, large-scale simulations of interacting many-fermion systems. More recently, the conceptual scope of this approach has been expanded by introducing ingenious schemes to compute entanglement entropies within its framework. On a practical level, these approaches, however, suffer from a variety of numerical instabilities that have largely impeded their applicability. Here we report on a number of algorithmic advances to overcome many of these numerical instabilities and significantly improve the calculation of entanglement measures in the zero-temperature projective DQMC approach, ultimately allowing us to reach similar system sizes as for the computation of conventional observables. We demonstrate the applicability of this improved DQMC approach by providing an entanglement perspective on the quantum phase transition from a magnetically ordered Mott insulator to a band insulator in the bilayer square lattice Hubbard model at 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:38-252366
DOI:	10.1103/PhysRevE.94.063306
Journal or Publication Title:	Phys. Rev. E
Volume:	94
Number:	6
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TOPOLOGICAL INSULATORS; SIGN-PROBLEM; BLACK-HOLES; ENTROPY Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/25236