Digital quantum simulation of lattice gauge theories in three spatial dimensions
In the present work, we propose a scheme for the digital formulation of lattice gauge theories with dynamical fermions in 3 + 1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary system. This enables quantum simulations of lattice gauge th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aadb71 |
| _version_ | 1797750639225208832 |
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| author | Julian Bender Erez Zohar Alessandro Farace J Ignacio Cirac |
| author_facet | Julian Bender Erez Zohar Alessandro Farace J Ignacio Cirac |
| author_sort | Julian Bender |
| collection | DOAJ |
| description | In the present work, we propose a scheme for the digital formulation of lattice gauge theories with dynamical fermions in 3 + 1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary system. This enables quantum simulations of lattice gauge theories where the magnetic four-body interactions arising in two and more spatial dimensions are obtained without the use of perturbation theory, thus resulting in stronger interactions compared with analogue approaches. The simulation scheme is applicable to lattice gauge theories with either compact or finite gauge groups. The required bounds on the digitization errors in lattice gauge theories, due to the sequential nature of the stroboscopic time evolution, are provided. Furthermore, an implementation of a lattice gauge theory with a non-abelian gauge group, the dihedral group D _3 , is proposed employing the aforementioned simulation scheme using ultracold atoms in optical lattices. |
| first_indexed | 2024-03-12T16:36:40Z |
| format | Article |
| id | doaj.art-a8372889ebbc40518a0c35b1d7972922 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:40Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-a8372889ebbc40518a0c35b1d79729222023-08-08T14:52:40ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120909300110.1088/1367-2630/aadb71Digital quantum simulation of lattice gauge theories in three spatial dimensionsJulian Bender0Erez Zohar1Alessandro Farace2J Ignacio Cirac3Max-Planck-Institut für Quantenoptik , Hans-Kopfermann-Straße 1, D-85748 Garching, GermanyMax-Planck-Institut für Quantenoptik , Hans-Kopfermann-Straße 1, D-85748 Garching, GermanyMax-Planck-Institut für Quantenoptik , Hans-Kopfermann-Straße 1, D-85748 Garching, GermanyMax-Planck-Institut für Quantenoptik , Hans-Kopfermann-Straße 1, D-85748 Garching, GermanyIn the present work, we propose a scheme for the digital formulation of lattice gauge theories with dynamical fermions in 3 + 1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary system. This enables quantum simulations of lattice gauge theories where the magnetic four-body interactions arising in two and more spatial dimensions are obtained without the use of perturbation theory, thus resulting in stronger interactions compared with analogue approaches. The simulation scheme is applicable to lattice gauge theories with either compact or finite gauge groups. The required bounds on the digitization errors in lattice gauge theories, due to the sequential nature of the stroboscopic time evolution, are provided. Furthermore, an implementation of a lattice gauge theory with a non-abelian gauge group, the dihedral group D _3 , is proposed employing the aforementioned simulation scheme using ultracold atoms in optical lattices.https://doi.org/10.1088/1367-2630/aadb71lattice gauge theoryquantum simulationultracold atoms |
| spellingShingle | Julian Bender Erez Zohar Alessandro Farace J Ignacio Cirac Digital quantum simulation of lattice gauge theories in three spatial dimensions New Journal of Physics lattice gauge theory quantum simulation ultracold atoms |
| title | Digital quantum simulation of lattice gauge theories in three spatial dimensions |
| title_full | Digital quantum simulation of lattice gauge theories in three spatial dimensions |
| title_fullStr | Digital quantum simulation of lattice gauge theories in three spatial dimensions |
| title_full_unstemmed | Digital quantum simulation of lattice gauge theories in three spatial dimensions |
| title_short | Digital quantum simulation of lattice gauge theories in three spatial dimensions |
| title_sort | digital quantum simulation of lattice gauge theories in three spatial dimensions |
| topic | lattice gauge theory quantum simulation ultracold atoms |
| url | https://doi.org/10.1088/1367-2630/aadb71 |
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