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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-11-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.10.041040 |
| _version_ | 1818995390079303680 |
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| author | Timo Felser Pietro Silvi Mario Collura Simone Montangero |
| author_facet | Timo Felser Pietro Silvi Mario Collura Simone Montangero |
| author_sort | Timo Felser |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-20T21:13:05Z |
| format | Article |
| id | doaj.art-ae0d7d53fdd149f296176dd191664376 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-20T21:13:05Z |
| publishDate | 2020-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-ae0d7d53fdd149f296176dd1916643762022-12-21T19:26:30ZengAmerican Physical SocietyPhysical Review X2160-33082020-11-0110404104010.1103/PhysRevX.10.041040Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite DensityTimo FelserPietro SilviMario ColluraSimone MontangeroWe 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.http://doi.org/10.1103/PhysRevX.10.041040 |
| spellingShingle | Timo Felser Pietro Silvi Mario Collura Simone Montangero Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density Physical Review X |
| title | 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_short | Two-Dimensional Quantum-Link Lattice Quantum Electrodynamics at Finite Density |
| title_sort | two dimensional quantum link lattice quantum electrodynamics at finite density |
| url | http://doi.org/10.1103/PhysRevX.10.041040 |
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