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• W2891952425 abstract "We establish an exact mapping between the positions of $N$ noninteracting fermions in a two-dimensional rotating harmonic trap in its ground state and the eigenvalues of the $Nifmmodetimeselsetexttimesfi{}N$ complex Ginibre ensemble of random matrix theory (RMT). Using RMT techniques, we make precise predictions for the statistics of the positions of the fermions, both in the bulk as well as at the edge of the trapped Fermi gas. In addition, we compute exactly, for any finite $N$, the R'enyi entanglement entropy and the number variance of a disk of radius $r$ in the ground state. We show that while these two quantities are proportional to each other in the (extended) bulk, this is no longer the case very close to the trap center nor at the edge. Near the edge, and for large $N$, we provide exact expressions for the scaling functions associated with these two observables." @default.
• W2891952425 created "2018-09-27" @default.
• W2891952425 creator A5007525822 @default.
• W2891952425 creator A5012513905 @default.
• W2891952425 creator A5047748977 @default.
• W2891952425 date "2019-02-11" @default.
• W2891952425 modified "2023-09-25" @default.
• W2891952425 title "Rotating trapped fermions in two dimensions and the complex Ginibre ensemble: Exact results for the entanglement entropy and number variance" @default.
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• W2891952425 doi "https://doi.org/10.1103/physreva.99.021602" @default.
• W2891952425 hasPublicationYear "2019" @default.
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