Z_{N} lattice gauge theory in a ladder geometry
Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg ladders. We consider a model that includes bo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.013133 |
| _version_ | 1797211139319267328 |
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| author | Jens Nyhegn Chia-Min Chung Michele Burrello |
| author_facet | Jens Nyhegn Chia-Min Chung Michele Burrello |
| author_sort | Jens Nyhegn |
| collection | DOAJ |
| description | Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg ladders. We consider a model that includes both gauge boson and Higgs matter degrees of freedom with local Z_{N} gauge symmetries. We study its phase diagram based on both an effective low-energy field theory and density matrix renormalization group simulations. For N≥5, an extended gapless Coulomb phase emerges, which is separated by a Berezinskii-Kosterlitz-Thouless phase transition from the surrounding gapped phase. Besides the traditional confined and Higgs regimes, we also observe a novel quadrupolar region, originated by the ladder geometry. |
| first_indexed | 2024-04-24T10:21:44Z |
| format | Article |
| id | doaj.art-86d254ac8d534dba957be080b82cfea9 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:21:44Z |
| publishDate | 2021-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-86d254ac8d534dba957be080b82cfea92024-04-12T17:07:12ZengAmerican Physical SocietyPhysical Review Research2643-15642021-02-013101313310.1103/PhysRevResearch.3.013133Z_{N} lattice gauge theory in a ladder geometryJens NyhegnChia-Min ChungMichele BurrelloUnder the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories defined in two-leg ladders. We consider a model that includes both gauge boson and Higgs matter degrees of freedom with local Z_{N} gauge symmetries. We study its phase diagram based on both an effective low-energy field theory and density matrix renormalization group simulations. For N≥5, an extended gapless Coulomb phase emerges, which is separated by a Berezinskii-Kosterlitz-Thouless phase transition from the surrounding gapped phase. Besides the traditional confined and Higgs regimes, we also observe a novel quadrupolar region, originated by the ladder geometry.http://doi.org/10.1103/PhysRevResearch.3.013133 |
| spellingShingle | Jens Nyhegn Chia-Min Chung Michele Burrello Z_{N} lattice gauge theory in a ladder geometry Physical Review Research |
| title | Z_{N} lattice gauge theory in a ladder geometry |
| title_full | Z_{N} lattice gauge theory in a ladder geometry |
| title_fullStr | Z_{N} lattice gauge theory in a ladder geometry |
| title_full_unstemmed | Z_{N} lattice gauge theory in a ladder geometry |
| title_short | Z_{N} lattice gauge theory in a ladder geometry |
| title_sort | z n lattice gauge theory in a ladder geometry |
| url | http://doi.org/10.1103/PhysRevResearch.3.013133 |
| work_keys_str_mv | AT jensnyhegn znlatticegaugetheoryinaladdergeometry AT chiaminchung znlatticegaugetheoryinaladdergeometry AT micheleburrello znlatticegaugetheoryinaladdergeometry |