Subdiffusive transport in the Fredkin dynamical universality class

Fredkin-type kinetic constraints appear in systems ranging from classical interfaces to th e Fredkin and Motzkin quantum spin chains. Here, we identify a pseudolocal conserved charge associated with Fredkin-constrained dynamics that may be leveraged to subdiffusively bound the dynamical exponent $z\ensuremath{\ge}5/2$. Our results establish that transport in Fredkin-constrained systems belongs to a distinct dynamical universality class that is separate from ordinary diffusion. This universality class is stable to local perturbations that conserve the pseudolocal charge.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-05-22
DOI
https://doi.org/10.1103/physrevb.111.184317
Citations
5
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
6.23

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article

Subdiffusive transport in the Fredkin dynamical universality class

Catherine McCarthy, Sarang Gopalakrishnan, Romain Vasseur, Hansveer Singh
5 citations
Physical review. B./Physical review. B
Quantum many-body systems
6.23
article

Subdiffusive transport in the Fredkin dynamical universality class

Catherine McCarthy, Sarang Gopalakrishnan, Romain Vasseur, Hansveer Singh
article en
5 citations

Abstract

Fredkin-type kinetic constraints appear in systems ranging from classical interfaces to th e Fredkin and Motzkin quantum spin chains. Here, we identify a pseudolocal conserved charge associated with Fredkin-constrained dynamics that may be leveraged to subdiffusively bound the dynamical exponent $z\ensuremath{\ge}5/2$. Our results establish that transport in Fredkin-constrained systems belongs to a distinct dynamical universality class that is separate from ordinary diffusion. This universality class is stable to local perturbations that conserve the pseudolocal charge.

Physical review. B./Physical review. BVol. 111(18)
University of Geneva (CH), Princeton University (US), University of Massachusetts Amherst (US), Max Planck Institute for the Physics of Complex Systems (DE)
National Science Foundation, U.S. Department of Energy, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, Basic Energy Sciences
Reduced inequalities
Openalex Percentile: Top 4%
Quantum many-body systems
6.23
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Subdiffusive transport in the Fredkin dynamical universality class — Catherine McCarthy, Sarang Gopalakrishnan, et al. · Physical review. B./Physical review. B (2025) | TGRS Research Map | TGRS