Automorphic equivalence within gapped phases of infinitely extended fermion systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918116993269760 |
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| author | Becker, Lennart Teufel, Stefan Wesle, Marius |
| author_facet | Becker, Lennart Teufel, Stefan Wesle, Marius |
| contents | We prove automorphic equivalence within gapped phases of infinitely extended lattice fermion systems (as well as spin systems) with super-polynomially decaying interactions. As a simple application, we prove a version of Goldstone's theorem for such systems: if an infinite volume interaction is invariant under a continuous symmetry, then any gapped ground state is also invariant under that symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13321 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphic equivalence within gapped phases of infinitely extended fermion systems Becker, Lennart Teufel, Stefan Wesle, Marius Mathematical Physics Quantum Physics 81V70, 81V74 We prove automorphic equivalence within gapped phases of infinitely extended lattice fermion systems (as well as spin systems) with super-polynomially decaying interactions. As a simple application, we prove a version of Goldstone's theorem for such systems: if an infinite volume interaction is invariant under a continuous symmetry, then any gapped ground state is also invariant under that symmetry. |
| title | Automorphic equivalence within gapped phases of infinitely extended fermion systems |
| topic | Mathematical Physics Quantum Physics 81V70, 81V74 |
| url | https://arxiv.org/abs/2507.13321 |