A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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Spinor Bose gases in one dimension are described by quantum integrable m by n matrix extensions of the nonlinear Schrödinger model, with Bethe equations and thermodynamic integral equations derived for arbitrary spin and specifically for spin-1 cases.
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Integrability of Goldilocks quantum cellular automata
A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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Quantum integrable matrix models of spinor Bose gases in one spatial dimension
Spinor Bose gases in one dimension are described by quantum integrable m by n matrix extensions of the nonlinear Schrödinger model, with Bethe equations and thermodynamic integral equations derived for arbitrary spin and specifically for spin-1 cases.