Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913606619103232 |
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| author | Nardin, Alberto De Bernardis, Daniele Umucalilar, Rifat Onur Mazza, Leonardo Rizzi, Matteo Carusotto, Iacopo |
| author_facet | Nardin, Alberto De Bernardis, Daniele Umucalilar, Rifat Onur Mazza, Leonardo Rizzi, Matteo Carusotto, Iacopo |
| contents | We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in a bosonic Laughlin-like state at filling ν = 1/2. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattices that are available in state-of-the-art experiments, away from the continuum limit. Experimentally-accessible data related to the quantized value of the bulk transverse Hall conductivity are identified both in the linear and the non-linear response to an external excitation. The strong nonlinearity induced by the open boundaries is responsible for sizable quantum blockade effects, leading to the generation of nonclassical states of the edge modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice Nardin, Alberto De Bernardis, Daniele Umucalilar, Rifat Onur Mazza, Leonardo Rizzi, Matteo Carusotto, Iacopo Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in a bosonic Laughlin-like state at filling ν = 1/2. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattices that are available in state-of-the-art experiments, away from the continuum limit. Experimentally-accessible data related to the quantized value of the bulk transverse Hall conductivity are identified both in the linear and the non-linear response to an external excitation. The strong nonlinearity induced by the open boundaries is responsible for sizable quantum blockade effects, leading to the generation of nonclassical states of the edge modes. |
| title | Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2403.10598 |