Spectral statistics of a pseudo-integrable map: the general case
arXiv:0903.2231 · doi:10.1088/0951-7715/22/9/003
Abstract
It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PRL,93 (2004) 254102] statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.
References in corpus (8)
- Anderson Transitions
- Short-range plasma model for intermediate spectral statistics
- First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
- Random matrix ensembles associated with Lax matrices
- Spectral statistics of a quantum interval-exchange map
- Intermediate statistics in quantum maps
- Multifractality and intermediate statistics in quantum maps
- Periodic orbits contribution to the 2-point correlation form factor for pseudo-integrable systems
Cited by in corpus (12)
- Many body localization and thermalization: insights from the entanglement spectrum
- Random matrix ensembles associated with Lax matrices
- Two scenarios for quantum multifractality breakdown
- Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime
- Integrable random matrix ensembles
- Multifractality of open quantum systems
- Multifractality of quantum wave functions in the presence of perturbations
- Quantum Dynamical Tunneling Breaks Classical Conserved Quantities
- Coherent Forward Scattering Peak and Multifractality
- Coherent forward scattering as a robust probe of multifractality in critical disordered media
- Level compressibility of certain random unitary matrices
- Maximal scarring for eigenfunctions of quantum graphs