Temperature dependence of Lanczos coefficients is governed by two decoupled Toda chains, yielding a 'Krylov bootstrap' consistency criterion and exponentially small Krylov complexity at low temperature.
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Temperature dependence in Krylov space
Temperature dependence of Lanczos coefficients is governed by two decoupled Toda chains, yielding a 'Krylov bootstrap' consistency criterion and exponentially small Krylov complexity at low temperature.