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Ballistic spin transport in a periodically driven integrable quantum system
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abstract
We demonstrate ballistic spin transport of an integrable unitary quantum circuit, which can be understood either as a paradigm of an integrable periodically driven (Floquet) spin chain, or as a Trotterized anisotropic ($XXZ$) Heisenberg spin-1/2 model. We construct an analytic family of quasi-local conservation laws that break the spin-reversal symmetry and compute a lower bound on the spin Drude weight which is found to be a fractal function of the anisotropy parameter. Extensive numerical simulations of spin transport suggest that this fractal lower bound is in fact tight.
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Cited by 1 Pith paper
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Strong Zero Modes in Supersymmetry-Inspired Quantum Circuits
SUSY-inspired brick-wall circuits support both edge-localized and ballistically propagating strong zero modes that can be steered by mass parameters and used for quantum-information transport.
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