Automorphic equivalence is proved for differentiable paths of locally gapped infinite-volume fermion and spin systems with super-polynomially decaying interactions, with a Goldstone theorem as a corollary.
Improved Lieb- Robinson bound for many-body Hamiltonians with power-law interactions
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Automorphic equivalence within gapped phases of infinitely extended fermion systems
Automorphic equivalence is proved for differentiable paths of locally gapped infinite-volume fermion and spin systems with super-polynomially decaying interactions, with a Goldstone theorem as a corollary.