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.

*C.M. acknowledges support from NSF GRFP-1938059. This work was supported by the US Department of Energy, Office of Science, Basic Energy Sciences, under award No. DE-SC0023999 (H.S. and R.V.). S.G. and R.V. acknowledge hospitality of KITP during the DYNISQ22 follow-on program "Phases of active quantum matter". KITP is supported by grant NSF PHY-2309135.

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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