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Subdiffusive Bound on Fredkin and Motzkin Dynamics

ORAL

Abstract

We identify a pseudolocal conserved charge in the Fredkin and Motzkin quantum spin chains and explore its consequences for the hydrodynamics of systems with Fredkin- or Motzkin-type kinetic constraints. We use this quantity to formulate an exact upper bound O( L^{−5/2} ) on the gap of the Fredkin and Motzkin spin chains. Our results establish that transport in kinetically constrained dynamical systems with Fredkin or Motzkin constraints is subdiffusive, with dynamical exponent z ≥ 5/2.

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Publication: C. McCarthy, H. Singh, S. Gopalakrishnan, and R. Vasseur. "Subdiffusive bound on Fredkin and Motzkin dynamics" (2024). arxiv:2407.11110 [cond-mat.stat-mech].

Presenters

  • Catherine McCarthy

    University of Massachusetts Amherst

Authors

  • Catherine McCarthy

    University of Massachusetts Amherst

  • Hansveer Singh

    Max Planck Institute for the Physics of Complex Systems

  • Sarang Gopalakrishnan

    Princeton University, Department of Electrical and Computer Engineering, Princeton University, Princeton, NJ 08544, Princeton University Princeton

  • Romain Vasseur

    University of Massachusetts Amherst