Exceptional points and the topology of quantum many-body spectra
- We show that in a generic, ergodic quantum many-body system the interactions induce a nontrivial topology for an arbitrarily small non-Hermitian component of the Hamiltonian. This is due to an exponential-in-system-size proliferation of exceptional points which have the Hermitian limit as an accumulation (hyper)surface. The nearest-neighbor level repulsion characterizing Hermitian ergodic many-body systems is thus shown to be a projection of a richer phenomenology, where actually all the exponentially many eigenvalues are pairwise connected in a topologically robust fashion via exceptional points.
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| Author: | David J. Luitz, Francesco PiazzaORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1083922 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/108392 |
| ISSN: | 2643-1564OPAC |
| Parent Title (English): | Physical Review Research |
| Publisher: | American Physical Society (APS) |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2019 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/10/16 |
| Volume: | 1 |
| Issue: | 3 |
| First Page: | 033051 |
| DOI: | https://doi.org/10.1103/physrevresearch.1.033051 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
