Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918058409328640 |
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| author | Zerba, Caterina Seidel, Alexander Pollmann, Frank Knap, Michael |
| author_facet | Zerba, Caterina Seidel, Alexander Pollmann, Frank Knap, Michael |
| contents | The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in their non-equilibrium quantum dynamics. We show that in the lowest Landau level the system generically relaxes subdiffusively.The slow relaxation is understood from emergent conservation laws of the total charge and the associated dipole moment that arise from the effective Hamiltonian projected onto the lowest Landau level, leading to subdiffusive fracton hydrodynamics. We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07326 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels Zerba, Caterina Seidel, Alexander Pollmann, Frank Knap, Michael Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics The realization of synthetic gauge fields for charge neutral ultracold atoms and the simulation of quantum Hall physics has witnessed remarkable experimental progress. Here, we establish key signatures of fractional quantum Hall systems in their non-equilibrium quantum dynamics. We show that in the lowest Landau level the system generically relaxes subdiffusively.The slow relaxation is understood from emergent conservation laws of the total charge and the associated dipole moment that arise from the effective Hamiltonian projected onto the lowest Landau level, leading to subdiffusive fracton hydrodynamics. We discuss the prospect of rotating quantum gases as well as ultracold atoms in optical lattices for observing this unconventional relaxation dynamics. |
| title | Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels |
| topic | Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2410.07326 |