Anomalously fast transport in non-integrable lattice gauge theories

Devendra Singh Bhakuni; Roberto Verdel; Jean-Yves Desaules; Maksym Serbyn; Marko Ljubotina; Marcello Dalmonte

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arXiv · 2509.08889

Anomalously fast transport in non-integrable lattice gauge theories

Devendra Singh Bhakuni·Roberto Verdel·Jean-Yves Desaules·Maksym Serbyn·Marko Ljubotina·Marcello Dalmonte

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Abstract

Kinetic constraints are generally expected to slow down dynamics in many-body systems, obstructing or even completely suppressing transport of conserved charges. Here, we show how gauge theories can defy this wisdom by yielding constrained models with faster-than-diffusive dynamics. We first show how, upon integrating out the gauge fields, one-dimensional U(1) lattice gauge theories are exactly mapped onto XX models with non-local constraints. This new class of kinetically constrained models interpolates between free theories and highly constrained local fermionic models. We find that energy transport is superdiffusive over a broad parameter regime. Even more drastically, spin transport exhibits ballistic behavior, albeit with anomalous finite-volume properties as a consequence of gauge invariance. Our findings are relevant to current efforts in quantum simulations of gauge-theory dynamics and anomalous hydrodynamics in closed quantum many-body systems.

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cond-mat.quant-gas cond-mat.dis-nn cond-mat.mes-hall cond-mat.stat-mech cond-mat.str-el

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Devendra Singh Bhakuni, Roberto Verdel, Jean-Yves Desaules, Maksym Serbyn, Marko Ljubotina, Marcello Dalmonte. 2025-09-10. Anomalously fast transport in non-integrable lattice gauge theories. https://arxiv.org/abs/2509.08889

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