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Power Spectrum of Long Eigenlevel Sequences in Quantum Chaotic Systems

Riser, Roman ; Osipov, Vladimir Al LU and Kanzieper, Eugene (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:
author
; and
organization
publishing date
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
2024-04-14 12:34:51
@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}},
}