Subdiffusive transport in the Fredkin dynamical universality class

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 $\mathcal{O}(L^{-5/2})$ 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 $z\ge 5/2$.

Further improved presentation

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Cited by in corpus (4)

• Symmetries of the periodic Fredkin chain
• Superdiffusive transport in chaotic quantum systems with nodal interactions
• Frustration-Free Control and Absorbing-State Transport in Entangled State Preparation
• Absence of local conserved charges of the Fredkin spin chain and its truncated versions