Power Spectrum of Long Eigenlevel Sequences in Quantum Chaotic Systems
(2017) In Physical Review Letters 118(20).- Abstract
We present a nonperturbative analysis of the power spectrum of energy level fluctuations in fully chaotic quantum structures. Focusing on systems with broken time-reversal symmetry, we employ a finite-N random matrix theory to derive an exact multidimensional integral representation of the power spectrum. The N→ limit of the exact solution furnishes the main result of this study - a universal, parameter-free prediction for the power spectrum expressed in terms of a fifth Painlevé transcendent. Extensive numerics lends further support to our theory which, as discussed at length, invalidates a traditional assumption that the power spectrum is merely determined by the spectral form factor of a quantum system.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/26528729-bcd4-4c36-9829-3d582f1b9179
- author
- Riser, Roman ; Osipov, Vladimir Al LU and Kanzieper, Eugene
- organization
- publishing date
- 2017-05-16
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review Letters
- volume
- 118
- issue
- 20
- article number
- 204101
- publisher
- American Physical Society
- external identifiers
-
- scopus:85019929842
- pmid:28581777
- wos:000401460100004
- ISSN
- 0031-9007
- DOI
- 10.1103/PhysRevLett.118.204101
- language
- English
- LU publication?
- yes
- id
- 26528729-bcd4-4c36-9829-3d582f1b9179
- date added to LUP
- 2017-06-14 14:33:56
- date last changed
- 2024-09-16 03:20:41
@article{26528729-bcd4-4c36-9829-3d582f1b9179, abstract = {{<p>We present a nonperturbative analysis of the power spectrum of energy level fluctuations in fully chaotic quantum structures. Focusing on systems with broken time-reversal symmetry, we employ a finite-N random matrix theory to derive an exact multidimensional integral representation of the power spectrum. The N→ limit of the exact solution furnishes the main result of this study - a universal, parameter-free prediction for the power spectrum expressed in terms of a fifth Painlevé transcendent. Extensive numerics lends further support to our theory which, as discussed at length, invalidates a traditional assumption that the power spectrum is merely determined by the spectral form factor of a quantum system.</p>}}, author = {{Riser, Roman and Osipov, Vladimir Al and Kanzieper, Eugene}}, issn = {{0031-9007}}, language = {{eng}}, month = {{05}}, number = {{20}}, publisher = {{American Physical Society}}, series = {{Physical Review Letters}}, title = {{Power Spectrum of Long Eigenlevel Sequences in Quantum Chaotic Systems}}, url = {{http://dx.doi.org/10.1103/PhysRevLett.118.204101}}, doi = {{10.1103/PhysRevLett.118.204101}}, volume = {{118}}, year = {{2017}}, }