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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2409.11655 |
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| _version_ | 1866913505861435392 |
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| author | Cheng, Bai-Lin Jian, Shao-Kai Yang, Zhi-Cheng |
| author_facet | Cheng, Bai-Lin Jian, Shao-Kai Yang, Zhi-Cheng |
| contents | We study a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/r^η$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics associated with the conserved charge, which we reveal by computing the Schwinger-Keldysh effective action. Our result shows that charge transport in this system can be subdiffusive, diffusive, or superdiffusive, with the dynamical exponent controlled by $η$. We further employ a doubled Hilbert space methodology to derive an effective action for the out-of-time-order correlator (OTOC), from which we obtain the phase diagram delineating regimes where the lightcone is linear or logarithmic. Our results provide a concrete example of a quantum many-body system with kinetic constraint and long-range interactions in which the emergent hydrodynamic modes and OTOC can be computed analytically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11655 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic modes and operator spreading in a long-range center-of-mass-conserving Brownian SYK model Cheng, Bai-Lin Jian, Shao-Kai Yang, Zhi-Cheng Statistical Mechanics Quantum Physics We study a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/r^η$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics associated with the conserved charge, which we reveal by computing the Schwinger-Keldysh effective action. Our result shows that charge transport in this system can be subdiffusive, diffusive, or superdiffusive, with the dynamical exponent controlled by $η$. We further employ a doubled Hilbert space methodology to derive an effective action for the out-of-time-order correlator (OTOC), from which we obtain the phase diagram delineating regimes where the lightcone is linear or logarithmic. Our results provide a concrete example of a quantum many-body system with kinetic constraint and long-range interactions in which the emergent hydrodynamic modes and OTOC can be computed analytically. |
| title | Hydrodynamic modes and operator spreading in a long-range center-of-mass-conserving Brownian SYK model |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2409.11655 |