Superdiffusive transport in chaotic quantum systems with nodal interactions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914110220795904 |
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| author | Wang, Yu-Peng Ren, Jie Gopalakrishnan, Sarang Vasseur, Romain |
| author_facet | Wang, Yu-Peng Ren, Jie Gopalakrishnan, Sarang Vasseur, Romain |
| contents | We introduce a class of interacting fermionic quantum models in $d$ dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to long-lived quasiparticle excitations that result in a diverging diffusion constant, even though the system is fully chaotic. Using a Boltzmann equation approach, we find that the charge mode acquires an anomalous dispersion relation at long wavelength $ω(q) \sim q^{z} $ with dynamical exponent $z={\rm min}[(2n+d)/2n,2]$, where $n$ is the order of the nodal point in momentum space. We verify our predictions in one dimensional systems using tensor-network techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08381 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Superdiffusive transport in chaotic quantum systems with nodal interactions Wang, Yu-Peng Ren, Jie Gopalakrishnan, Sarang Vasseur, Romain Statistical Mechanics Quantum Physics We introduce a class of interacting fermionic quantum models in $d$ dimensions with nodal interactions that exhibit superdiffusive transport. We establish non-perturbatively that the nodal structure of the interactions gives rise to long-lived quasiparticle excitations that result in a diverging diffusion constant, even though the system is fully chaotic. Using a Boltzmann equation approach, we find that the charge mode acquires an anomalous dispersion relation at long wavelength $ω(q) \sim q^{z} $ with dynamical exponent $z={\rm min}[(2n+d)/2n,2]$, where $n$ is the order of the nodal point in momentum space. We verify our predictions in one dimensional systems using tensor-network techniques. |
| title | Superdiffusive transport in chaotic quantum systems with nodal interactions |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2501.08381 |