Topological properties of single-particle states decaying into a continuum due to interaction
| dc.contributor.author | Hawashin, Bilal | |
| dc.contributor.author | Sirker, J. | |
| dc.contributor.author | Uhrig, Götz S. | |
| dc.date.accessioned | 2024-12-05T08:15:57Z | |
| dc.date.available | 2024-12-05T08:15:57Z | |
| dc.date.issued | 2024-11-12 | |
| dc.description.abstract | We investigate how topological Chern numbers can be defined when single-particle states hybridize with continua. We do so exemplarily in a bosonic Haldane model at zero temperature with an additional on-site decay of one boson into two and the conjugate fusion of two bosons into one. Restricting the Hilbert space to two bosons at maximum, the exact self-energy is accessible. We use the bilinear Hamiltonian 𝐻0 corrected by the self-energy Σ to compute Chern numbers by two different approaches. The results are gauged against a full many-body calculation in the Hilbert space where possible. We establish numerically and analytically that the effective Hamiltonian H_eff=H_0(⃗k) + ∑(ω,⃗k) reproduces the correct many-body topology if the considered band does not overlap with the continuum. In case of overlaps, one can extend the definition of the Chern number to the non-Hermitian 𝐻eff and there is evidence that the Chern number changes at exceptional points. But the bulk-boundary correspondence appears to be no longer valid and edge modes delocalize. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/43013 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-24846 | |
| dc.language.iso | en | |
| dc.relation.ispartofseries | Physical review research; 6(4) | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Bosons | en |
| dc.subject | Topological order | en |
| dc.subject | Topological phase transition | en |
| dc.subject | Topological phases of matter | en |
| dc.subject | Exact solutions for many-body systems | en |
| dc.subject | Feynman diagrams | en |
| dc.subject.ddc | 530 | |
| dc.title | Topological properties of single-particle states decaying into a continuum due to interaction | en |
| dc.type | Text | |
| dc.type.publicationtype | Article | |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | true | |
| eldorado.secondarypublication.primarycitation | Hawashin, B., Sirker, J., & Uhrig, G. S. (2024). Topological properties of single-particle states decaying into a continuum due to interaction. Physical Review Research, 6(4), Article L042041. https://doi.org/10.1103/physrevresearch.6.l042041 | |
| eldorado.secondarypublication.primaryidentifier | https://doi.org/10.1103/PhysRevResearch.6.L042041 |