Fluctuating "order parameter" for a quantum chaotic system with partially broken time-reversal symmetry

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dc.creatorvan Langen, S. A.
dc.creatorBrouwer, P. W.
dc.creatorBeenakker, C. W. J.
dc.date1996-09-11
dc.date1996-09-24
dc.date.accessioned2026-07-07T09:02:31Z
dc.date.available2026-07-07T09:02:31Z
dc.descriptionThe functional defined as the squared modulus of the spatial average of the wave function squared, plays the role of an ``order parameter'' for the transition between Hamiltonian ensembles with orthogonal and unitary symmetry. Upon breaking time-reversal symmetry, the order parameter crosses over from one to zero. We compute its distribution in the crossover regime and find that it has large fluctuations around the ensemble average. These fluctuations imply long-range spatial correlations in the eigenfunction and non-Gaussian perturbations of eigenvalues, in precise agreement with results by Fal'ko and Efetov and by Taniguchi, Hashimoto, Simons, and Altshuler. As a third implication of the order-parameter fluctuations we find correlations in the response of an eigenvalue to independent perturbations of the system.
dc.description4 pages, REVTeX-3.0, 1 figure. Reference added to Y. V. Fyodorov and A. D. Mirlin, Phys. Rev. B 51, 13403 (1995)
dc.identifierhttps://arxiv.org/abs/cond-mat/9609100
dc.identifierhttp://arxiv.org/abs/cond-mat/9609100
dc.identifierPhys. Rev. E 55, R1 (1997)
dc.identifierdoi:10.1103/PhysRevE.55.R1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148658
dc.subjectCondensed Matter
dc.subjectChaotic Dynamics
dc.titleFluctuating "order parameter" for a quantum chaotic system with partially broken time-reversal symmetry
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