| Autor: |
Naim E. Mackel, Jing Yang, Adolfo del Campo |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Quantum, Vol 7, p 1211 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2521-327X |
| DOI: |
10.22331/q-2023-12-20-1211 |
| Popis: |
Many-particle quantum systems with intermediate anyonic exchange statistics are supported in one spatial dimension. In this context, the anyon-anyon mapping is recast as a continuous transformation that generates shifts of the statistical parameter $\kappa$. We characterize the geometry of quantum states associated with different values of $\kappa$, i.e., different quantum statistics. While states in the bosonic and fermionic subspaces are always orthogonal, overlaps between anyonic states are generally finite and exhibit a universal form of the orthogonality catastrophe governed by a fundamental statistical factor, independent of the microscopic Hamiltonian. We characterize this decay using quantum speed limits on the flow of $\kappa$, illustrate our results with a model of hard-core anyons, and discuss possible experiments in quantum simulation. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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