Emergent Anomalous Hydrodynamics at Infinite Temperature in a Long-Range XXZ Model

• URL: http://arxiv.org/abs/2403.17912v1
• Date: Tue, 26 Mar 2024 17:50:04 GMT
• Title: Emergent Anomalous Hydrodynamics at Infinite Temperature in a Long-Range XXZ Model
• Authors: Ang Yang, Jinlou Ma, Lei Ying,
• Abstract summary: We find anomalous hydrodynamics in a spin-1/2 XXZ chain with power-law couplings. We quantify the degree of quantum chaos using the Kullback-Leibler divergence. This work offers another deep understanding of emergent anomalous transport phenomena in a wider range of non-integrable quantum many-body systems.
• Score: 14.297989605089663
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The conventional wisdom suggests that transports of conserved quantities in non-integrable quantum many-body systems at high temperatures are diffusive. However, we discover a counterexample of this paradigm by uncovering anomalous hydrodynamics in a spin-1/2 XXZ chain with power-law couplings. This model, classified as non-integrable due to its Wigner-Dyson level-spacing statistics in the random matrix theory, exhibits a surprising superdiffusive-ballistic-superdiffusive transport transition by varying the power-law exponent of couplings for a fixed anisotropy. Our findings are verified by multiple observables, including the spin-spin autocorrelator, mean-square displacement, and spin conductivity. Interestingly, we further quantify the degree of quantum chaos using the Kullback-Leibler divergence between the entanglement entropy distributions of the model's eigenstates and a random state. Remarkably, an observed local maximum in the divergence near the transition boundary suggests a link between anomalous hydrodynamics and a suppression of quantum chaos. This work offers another deep understanding of emergent anomalous transport phenomena in a wider range of non-integrable quantum many-body systems

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