2016
DOI: 10.1103/physrevlett.117.064101
|View full text |Cite
|
Sign up to set email alerts
|

Microwave Realization of the Gaussian Symplectic Ensemble

Abstract: Following an idea by Joyner et al. [Europhys. Lett. 107, 50004 (2014)], a microwave graph with an antiunitary symmetry T obeying T^{2}=-1 is realized. The Kramers doublets expected for such systems are clearly identified and can be lifted by a perturbation which breaks the antiunitary symmetry. The observed spectral level spacings distribution of the Kramers doublets is in agreement with the predictions from the Gaussian symplectic ensemble expected for chaotic systems with such a symmetry.

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

1
60
0

Year Published

2018
2018
2023
2023

Publication Types

Select...
4
3

Relationship

2
5

Authors

Journals

citations
Cited by 69 publications
(62 citation statements)
references
References 29 publications
(33 reference statements)
1
60
0
Order By: Relevance
“…In our recent paper [12] we presented first results on spectra in a microwave graph with symplectic symmetry. The Kramers doublets expected for such a system had been clearly observed, and their level spacing distribution could be well described by the GSE Wigner distribution.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…In our recent paper [12] we presented first results on spectra in a microwave graph with symplectic symmetry. The Kramers doublets expected for such a system had been clearly observed, and their level spacing distribution could be well described by the GSE Wigner distribution.…”
Section: Discussionmentioning
confidence: 99%
“…There are altogether only three studies of the spectra of systems with broken TRS showing GUE statistics [9][10][11], all of them applying microwave techniques. For the GSE there is as yet only one recent experimental realization by our group [12]. In the present paper a more detailed account on the latter work is given, as well as a number of new results.…”
Section: Introductionmentioning
confidence: 85%
“…7, but for the GUE the number of experiments is still small [8][9][10]. The GSE has been realized only recently by us in a peculiarly designed microwave network mimicking a spin 1/2 [11].For the new ensembles systematic random matrix studies are still missing though there are a lot of studies of systems showing chiral symmetry [12]. In the present work a microwave study of the chiral relatives of the classical ensembles shall be presented, the chiral orthogonal (chOE), the chiral unitary (chUE), and the chiral symplectic (chSE) ensemble (the BDI, the AIII, and the CII in Cartan's notation).…”
mentioning
confidence: 99%
“…7, but for the GUE the number of experiments is still small [8][9][10]. The GSE has been realized only recently by us in a peculiarly designed microwave network mimicking a spin 1/2 [11].…”
mentioning
confidence: 99%
See 1 more Smart Citation