Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density

We present an unconstrained tree-tensor-network approach to the study of lattice gauge theories in two spatial dimensions, showing how to perform numerical simulations of theories in the presence of fermionic matter and four-body magnetic terms, at zero and finite density, with periodic and open bou...

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Autores principales:	Timo Felser, Pietro Silvi, Mario Collura, Simone Montangero
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/ae0d7d53fdd149f296176dd191664376
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spelling	oai:doaj.org-article:ae0d7d53fdd149f296176dd1916643762021-12-02T13:27:33ZTwo-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density10.1103/PhysRevX.10.0410402160-3308https://doaj.org/article/ae0d7d53fdd149f296176dd1916643762020-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.041040http://doi.org/10.1103/PhysRevX.10.041040https://doaj.org/toc/2160-3308We present an unconstrained tree-tensor-network approach to the study of lattice gauge theories in two spatial dimensions, showing how to perform numerical simulations of theories in the presence of fermionic matter and four-body magnetic terms, at zero and finite density, with periodic and open boundary conditions. We exploit the quantum-link representation of the gauge fields and demonstrate that a fermionic rishon representation of the quantum links allows us to efficiently handle the fermionic matter while finite densities are naturally enclosed in the tensor network description. We explicitly perform calculations for quantum electrodynamics in the spin-one quantum-link representation on lattice sizes of up to 16×16 sites, detecting and characterizing different quantum regimes. In particular, at finite density, we detect signatures of a phase separation as a function of the bare mass values at different filling densities. The presented approach can be extended straightforwardly to three spatial dimensions.Timo FelserPietro SilviMario ColluraSimone MontangeroAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 4, p 041040 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Timo Felser Pietro Silvi Mario Collura Simone Montangero Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density
description	We present an unconstrained tree-tensor-network approach to the study of lattice gauge theories in two spatial dimensions, showing how to perform numerical simulations of theories in the presence of fermionic matter and four-body magnetic terms, at zero and finite density, with periodic and open boundary conditions. We exploit the quantum-link representation of the gauge fields and demonstrate that a fermionic rishon representation of the quantum links allows us to efficiently handle the fermionic matter while finite densities are naturally enclosed in the tensor network description. We explicitly perform calculations for quantum electrodynamics in the spin-one quantum-link representation on lattice sizes of up to 16×16 sites, detecting and characterizing different quantum regimes. In particular, at finite density, we detect signatures of a phase separation as a function of the bare mass values at different filling densities. The presented approach can be extended straightforwardly to three spatial dimensions.
format	article
author	Timo Felser Pietro Silvi Mario Collura Simone Montangero
author_facet	Timo Felser Pietro Silvi Mario Collura Simone Montangero
author_sort	Timo Felser
title	Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density
title_short	Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density
title_full	Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density
title_fullStr	Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density
title_full_unstemmed	Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density
title_sort	two-dimensional quantum-link lattice quantum electrodynamics at finite density
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/ae0d7d53fdd149f296176dd191664376
work_keys_str_mv	AT timofelser twodimensionalquantumlinklatticequantumelectrodynamicsatfinitedensity AT pietrosilvi twodimensionalquantumlinklatticequantumelectrodynamicsatfinitedensity AT mariocollura twodimensionalquantumlinklatticequantumelectrodynamicsatfinitedensity AT simonemontangero twodimensionalquantumlinklatticequantumelectrodynamicsatfinitedensity
_version_	1718392994871115776

Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density

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