Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
| Autor: | Mackel, Naim E., Yang, Jing, del Campo, Adolfo |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Quantum 7, 1211 (2023) |
| Druh dokumentu: | Working Paper |
| 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. Comment: Accepted for publication in Quantum |
| Databáze: | arXiv |
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