Quantum Alchemy And Universal Orthogonality Catastrophe In One-Dimensional Anyons

Naim E. Mackel¹, Jing Yang^1,2, and Adolfo del Campo^1,3

¹Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
²Nordita, KTH Royal Institute of Technology and Stockholm University, Hannes Alfvéns vag 12, 106 91 Stockholm, Sweden
³Donostia International Physics Center, E-20018 San Sebastián, Spain

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Abstract

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.

► BibTeX data

@article{Mackel2023quantumalchemy, doi = {10.22331/q-2023-12-20-1211}, url = {https://doi.org/10.22331/q-2023-12-20-1211}, title = {Quantum {A}lchemy and {U}niversal {O}rthogonality {C}atastrophe in {O}ne-{D}imensional {A}nyons}, author = {Mackel, Naim E. and Yang, Jing and Campo, Adolfo del}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {7}, pages = {1211}, month = dec, year = {2023}<br /> }

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Cited by

[1] Sebastian Nagies, Botao Wang, A. C. Knapp, André Eckardt, and N. L. Harshman, “Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension”, arXiv:2309.04358, (2023).

[2] Jing Yang and Adolfo del Campo, “Exact Quantum Dynamics, Shortcuts to Adiabaticity, and Quantum Quenches in Strongly-Correlated Many-Body Systems: The Time-Dependent Jastrow Ansatz”, arXiv:2210.14937, (2022).

The above citations are from SAO/NASA ADS (last updated successfully 2023-12-21 00:56:43). The list may be incomplete as not all publishers provide suitable and complete citation data.

On Crossref’s cited-by service no data on citing works was found (last attempt 2023-12-21 00:56:41).

This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.

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Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons

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