2006/08/07 by Jack Kuipers, Martin Sieber · 1 citation
Mathematics · Physics and Astronomy · #Chaotic #Limit (mathematics) #Parametric statistics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum many-body systems #Random matrix #Semiclassical physics #Spectral Theory in Mathematical Physics #Universality (dynamical systems) #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1088/1751-8113/40/5/005
published as J. Phys. A 40 (2007) 935 · 18 pages, no figures
arxiv created 2006/08/07 · openalex publication_date 2007/01/17 · arxiv updated 2010/03/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider quantum systems with a chaotic classical limit that depends on an external parameter, and study correlations between the spectra at different parameter values. In particular, we consider the parametric spectral form factor K (τ, x ) which depends on a scaled parameter difference x . For parameter variations that do not change the symmetry of the system we show by using semiclassical periodic orbit expansions that the small τ expansion of the form factor agrees with random matrix theory for systems with and without time reversal symmetry.