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.
The adiabatic theorem and lin- ear response theory for extended quantum systems
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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.