Anomalous hydrodynamic fluctuations in the quantum XXZ spin chain
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908915418005504 |
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| author | Yoshimura, Takato Krajnik, Žiga Bastianello, Alvise Ilievski, Enej |
| author_facet | Yoshimura, Takato Krajnik, Žiga Bastianello, Alvise Ilievski, Enej |
| contents | The quantum XXZ spin-1/2 chain features non-Gaussian spin current fluctuations in the regime of easy-axis anisotropy. Using ballistic macroscopic fluctuation theory, we derive the exact probability distribution of typical spin-current fluctuations in thermal equilibrium. The obtained nested Gaussian distribution is fully characterized by its variance which we analytically relate to the spin diffusion constant and static spin susceptibility, and compare with numerical simulations. By unveiling how the same mechanism which leads to anomalous charge current fluctuations in single-file systems manifests itself in the XXZ chain, our approach establishes the universal hydrodynamic origin of the observed anomalous fluctuations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24242 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Anomalous hydrodynamic fluctuations in the quantum XXZ spin chain Yoshimura, Takato Krajnik, Žiga Bastianello, Alvise Ilievski, Enej Statistical Mechanics Quantum Gases Strongly Correlated Electrons Exactly Solvable and Integrable Systems The quantum XXZ spin-1/2 chain features non-Gaussian spin current fluctuations in the regime of easy-axis anisotropy. Using ballistic macroscopic fluctuation theory, we derive the exact probability distribution of typical spin-current fluctuations in thermal equilibrium. The obtained nested Gaussian distribution is fully characterized by its variance which we analytically relate to the spin diffusion constant and static spin susceptibility, and compare with numerical simulations. By unveiling how the same mechanism which leads to anomalous charge current fluctuations in single-file systems manifests itself in the XXZ chain, our approach establishes the universal hydrodynamic origin of the observed anomalous fluctuations. |
| title | Anomalous hydrodynamic fluctuations in the quantum XXZ spin chain |
| topic | Statistical Mechanics Quantum Gases Strongly Correlated Electrons Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2602.24242 |