Anomalously fast transport in nonintegrable lattice gauge theories
Bhakuni DS, Verdel R, Desaules J-YM, Serbyn M, Ljubotina M, Dalmonte M. 2026. Anomalously fast transport in nonintegrable lattice gauge theories. Physical Review B. 114(14), L140103.
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Author
Bhakuni, Devendra Singh;
Verdel, Roberto;
Desaules, Jean-Yves MarcISTA 
;
Serbyn, MaksymISTA ;
Ljubotina, MarkoISTA ;
Dalmonte, Marcello
;
Serbyn, MaksymISTA ;
Ljubotina, MarkoISTA ;
Dalmonte, MarcelloDepartment
Grant
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 nonlocal
constraints. This 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.
Publishing Year
Date Published
2026-09-09
Journal Title
Physical Review B
Publisher
American Physical Society
Acknowledgement
We thank Riccardo Andreoni, Wouter
Buijsman, Mario Collura, John Goold, Zala Lenarciˇ c,ˇ
Cristiano Muzzi, Romain Vasseur, and Marko Žnidaric for ˇ
discussions. M.L. acknowledges support by the Deutsche
Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111–
390814868. M.L. and M.S. acknowledge support by the
European Research Council under the European Union’s
Horizon 2020 research and innovation program (Grant Agreement No. 850899). J.-Y.D. acknowledges funding from the
European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413. M.L., J.-Y.D., and M.S. acknowledge
support by the Erwin Schrödinger International Institute
for Mathematics and Physics (ESI). M.D. was partly supported by the QUANTERA DYNAMITE PCI2022-132919,
by the EU-Flagship programme Pasquans2, by the PNRR
MUR Project PE0000023-NQSTI, and the PRIN programme
(Project CoQuS). M.D. and R.V. were supported by the
ERC Consolidator Grant WaveNets. D.S.B. acknowledges
the CINECA Grant under the ISCRA-C (HP10C66VX2)
program. The tensor network numerical simulations were performed with the ITensor library [94]. M.D. is also supported
by the INFN Iniziativa specifica Quantum.
Volume
114
Issue
14
Article Number
L140103
ISSN
eISSN
IST-REx-ID
Cite this
Bhakuni DS, Verdel R, Desaules J-YM, Serbyn M, Ljubotina M, Dalmonte M. Anomalously fast transport in nonintegrable lattice gauge theories. Physical Review B. 2026;114(14). doi:10.1103/3371-88bl
Bhakuni, D. S., Verdel, R., Desaules, J.-Y. M., Serbyn, M., Ljubotina, M., & Dalmonte, M. (2026). Anomalously fast transport in nonintegrable lattice gauge theories. Physical Review B. American Physical Society. https://doi.org/10.1103/3371-88bl
Bhakuni, Devendra Singh, Roberto Verdel, Jean-Yves Marc Desaules, Maksym Serbyn, Marko Ljubotina, and Marcello Dalmonte. “Anomalously Fast Transport in Nonintegrable Lattice Gauge Theories.” Physical Review B. American Physical Society, 2026. https://doi.org/10.1103/3371-88bl.
D. S. Bhakuni, R. Verdel, J.-Y. M. Desaules, M. Serbyn, M. Ljubotina, and M. Dalmonte, “Anomalously fast transport in nonintegrable lattice gauge theories,” Physical Review B, vol. 114, no. 14. American Physical Society, 2026.
Bhakuni DS, Verdel R, Desaules J-YM, Serbyn M, Ljubotina M, Dalmonte M. 2026. Anomalously fast transport in nonintegrable lattice gauge theories. Physical Review B. 114(14), L140103.
Bhakuni, Devendra Singh, et al. “Anomalously Fast Transport in Nonintegrable Lattice Gauge Theories.” Physical Review B, vol. 114, no. 14, L140103, American Physical Society, 2026, doi:10.1103/3371-88bl.
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