Weakly interacting fermionic lattice systems have a constant spectral gap in a Gibbs sampler Lindbladian, giving O(n) mixing time and efficient quantum Gibbs state preparation at any fixed temperature.
A polynomial time algorithm for the ground state of one-dimensional gapped local Hamiltonians,
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Fast mixing of weakly interacting fermionic systems at any temperature
Weakly interacting fermionic lattice systems have a constant spectral gap in a Gibbs sampler Lindbladian, giving O(n) mixing time and efficient quantum Gibbs state preparation at any fixed temperature.