Superdiffusive Transport in Chaotic Quantum Systems with Nodal Interactions

IF 9 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Physical review letters Pub Date : 2025-10-15 DOI:10.1103/xx9z-4j6c

Yu-Peng Wang, Jie Ren, Sarang Gopalakrishnan, Romain Vasseur

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Abstract

We introduce a class of interacting fermionic quantum models in d dimensions with nodal interactions that exhibit superdiffusive transport. We establish nonperturbatively 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)∼qz with dynamical exponent z=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.

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具有节点相互作用的混沌量子系统中的超扩散输运

我们引入了一类具有超扩散输运的节点相互作用的d维费米子相互作用模型。我们非摄动地证明，即使系统是完全混沌的，相互作用的节点结构也会产生长寿命的准粒子激发，从而导致扩散常数发散。利用玻尔兹曼方程方法，我们发现电荷模式在长波ω(q) ~ qz处具有反常色散关系，其动力指数z=min[(2n+d)/2n,2]，其中n为动量空间中节点的阶数。我们使用张量网络技术在一维系统中验证了我们的预测。

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来源期刊

Physical review letters 物理-物理：综合

CiteScore

16.50

自引率

7.00%

发文量

2673

审稿时长

2.2 months

期刊介绍： Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks