Universal distributions from non-Hermitian perturbation of zero modes.

Kieburg, M; Mielke, Adam; Rud, M; Splittorff, K

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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DOI

https://doi.org/10.1103/PhysRevE.101.032117

Autor*in

Kieburg, M; Mielke, Adam^UniBi; Rud, M; Splittorff, K

Einrichtung

Fakultät für Mathematik

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

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, Adam, Rud, M, and Splittorff, K. 2020. “Universal distributions from non-Hermitian perturbation of zero modes.”. Physical review. E 101 (3): 32117.

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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