Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas
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arXiv
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| Format: | Preprint |
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2019
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| _version_ | 1866914724990418944 |
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| author | Fujimoto, Kazuya Hamazaki, Ryusuke Kawaguchi, Yuki |
| author_facet | Fujimoto, Kazuya Hamazaki, Ryusuke Kawaguchi, Yuki |
| contents | Family-Vicsek scaling is one of the most essential scale-invariant laws emerging in surface-roughness growth of classical systems. In this Letter, we theoretically elucidate the emergence of the Family-Vicsek scaling even in a strongly interacting quantum bosonic system by introducing a surface-height operator. This operator is comprised of a summation of local particle-number operators at a simultaneous time, and thus the observation of the surface roughness in the quantum many-body system and its scaling behavior are accessible to current experiments of ultracold atoms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1911_10707 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas Fujimoto, Kazuya Hamazaki, Ryusuke Kawaguchi, Yuki Quantum Gases Pattern Formation and Solitons Quantum Physics Family-Vicsek scaling is one of the most essential scale-invariant laws emerging in surface-roughness growth of classical systems. In this Letter, we theoretically elucidate the emergence of the Family-Vicsek scaling even in a strongly interacting quantum bosonic system by introducing a surface-height operator. This operator is comprised of a summation of local particle-number operators at a simultaneous time, and thus the observation of the surface roughness in the quantum many-body system and its scaling behavior are accessible to current experiments of ultracold atoms. |
| title | Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas |
| topic | Quantum Gases Pattern Formation and Solitons Quantum Physics |
| url | https://arxiv.org/abs/1911.10707 |