Universal distributions from non-Hermitian perturbation of zero modes.

Kieburg M, Mielke A, Rud M, Splittorff K (2020)
Physical review. E 101(3): 32117.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kieburg, M; Mielke, AdamUniBi; Rud, M; Splittorff, K
Abstract / Bemerkung
Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribution of the former zero eigenvalues of the Hermitian operators. The broadening of these zero modes is found to follow an elliptic Gaussian random matrix ensemble of fixed size, where the symmetry class of the perturbation determines the behavior of the modes. This distribution follows from a central limit theorem of matrices and is shown to be robust to deformations.
Erscheinungsjahr
2020
Zeitschriftentitel
Physical review. E
Band
101
Ausgabe
3
Art.-Nr.
32117
ISSN
2470-0053
Page URI
https://pub.uni-bielefeld.de/record/2942712

Zitieren

Kieburg M, Mielke A, Rud M, Splittorff K. Universal distributions from non-Hermitian perturbation of zero modes. Physical review. E. 2020;101(3): 32117.
Kieburg, M., Mielke, A., Rud, M., & Splittorff, K. (2020). Universal distributions from non-Hermitian perturbation of zero modes. Physical review. E, 101(3), 32117. doi:10.1103/PhysRevE.101.032117
Kieburg, M., Mielke, A., Rud, M., and Splittorff, K. (2020). Universal distributions from non-Hermitian perturbation of zero modes. Physical review. E 101:32117.
Kieburg, M., et al., 2020. Universal distributions from non-Hermitian perturbation of zero modes. Physical review. E, 101(3): 32117.
M. Kieburg, et al., “Universal distributions from non-Hermitian perturbation of zero modes.”, Physical review. E, vol. 101, 2020, : 32117.
Kieburg, M., Mielke, A., Rud, M., Splittorff, K.: Universal distributions from non-Hermitian perturbation of zero modes. Physical review. E. 101, : 32117 (2020).
Kieburg, M, Mielke, Adam, Rud, M, and Splittorff, K. “Universal distributions from non-Hermitian perturbation of zero modes.”. Physical review. E 101.3 (2020): 32117.

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PMID: 32289952
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arXiv: 1911.11492

Inspire: 1767119

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