Subdiffusive transport in the Fredkin dynamical universality class
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909625648939008 |
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| author | McCarthy, Catherine Singh, Hansveer Gopalakrishnan, Sarang Vasseur, Romain |
| author_facet | McCarthy, Catherine Singh, Hansveer Gopalakrishnan, Sarang Vasseur, Romain |
| contents | We identify a pseudolocal conserved charge in the Fredkin and Motzkin quantum spin chains and explore its consequences for the hydrodynamics of systems with Fredkin- or Motzkin-type kinetic constraints. We use this quantity to formulate an exact upper bound ${\cal O}(L^{-5/2})$ on the gap of the Fredkin and Motzkin spin chains. Our results establish that transport in kinetically constrained dynamical systems with Fredkin or Motzkin constraints is subdiffusive, with dynamical exponent $z \geq 5/2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11110 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Subdiffusive transport in the Fredkin dynamical universality class McCarthy, Catherine Singh, Hansveer Gopalakrishnan, Sarang Vasseur, Romain Statistical Mechanics Strongly Correlated Electrons We identify a pseudolocal conserved charge in the Fredkin and Motzkin quantum spin chains and explore its consequences for the hydrodynamics of systems with Fredkin- or Motzkin-type kinetic constraints. We use this quantity to formulate an exact upper bound ${\cal O}(L^{-5/2})$ on the gap of the Fredkin and Motzkin spin chains. Our results establish that transport in kinetically constrained dynamical systems with Fredkin or Motzkin constraints is subdiffusive, with dynamical exponent $z \geq 5/2$. |
| title | Subdiffusive transport in the Fredkin dynamical universality class |
| topic | Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2407.11110 |