Bethe roots in the finite Heisenberg chain ground state become Galois unsolvable for 8 or more sites, while wavefunction coefficients do so for 10 or more sites.
Takahashi,Thermodynamics of One-Dimensional Solvable Models(Cambridge University Press, 1999)
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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.
Spinon excitations generate direct current via the shift current mechanism in a noncentrosymmetric 1D XXZ antiferromagnet with magnetoelectric coupling.
In the disorder-free SYK model, off-diagonal matrix elements of operators built from n≥4 Majorana fermions follow a generalized inverse Gaussian distribution.
Numerical simulations of a classical discrete anisotropic Landau-Lifshitz magnet reveal a sharp change in the infinite-temperature spin diffusion constant with perturbation strength and a crossover from non-Gaussian to Gaussian magnetization transfer statistics.
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Galois Solvability of Finite-Size Bethe Solutions in the Heisenberg Chain
Bethe roots in the finite Heisenberg chain ground state become Galois unsolvable for 8 or more sites, while wavefunction coefficients do so for 10 or more sites.
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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.
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Spinon shift current in a noncentrosymmetric quantum spin chain
Spinon excitations generate direct current via the shift current mechanism in a noncentrosymmetric 1D XXZ antiferromagnet with magnetoelectric coupling.
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Statistics of Matrix Elements of Operators in a Disorder-Free SYK model
In the disorder-free SYK model, off-diagonal matrix elements of operators built from n≥4 Majorana fermions follow a generalized inverse Gaussian distribution.
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Fate of diffusion under integrability breaking of classical integrable magnets
Numerical simulations of a classical discrete anisotropic Landau-Lifshitz magnet reveal a sharp change in the infinite-temperature spin diffusion constant with perturbation strength and a crossover from non-Gaussian to Gaussian magnetization transfer statistics.