Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
Typical eigenstates of quantum systems, whose classical limit is chaotic, are well
approximated as random states. Corresponding eigenvalue spectra are modeled through an
appropriate ensemble described by random matrix theory. However, a small subset of states
violates this principle and displays eigenstate localization, a counterintuitive feature known
to arise due to purely quantum or semiclassical effects. In the spectrum of chaotic systems,
the localized and random states interact with one another and modify the spectral statistics …
approximated as random states. Corresponding eigenvalue spectra are modeled through an
appropriate ensemble described by random matrix theory. However, a small subset of states
violates this principle and displays eigenstate localization, a counterintuitive feature known
to arise due to purely quantum or semiclassical effects. In the spectrum of chaotic systems,
the localized and random states interact with one another and modify the spectral statistics …
Exact distribution of spacing ratios for random and localized states in quantum chaotic systems
S Kumar, MS SANTHANAM, SH Tekur - 2018 - dr.iiserpune.ac.in
Typical eigenstates of quantum systems, whose classical limit is chaotic, are well
approximated as random states. Corresponding eigenvalue spectra are modeled through an
appropriate ensemble described by random matrix theory. However, a small subset of states
violates this principle and displays eigenstate localization, a counterintuitive feature known
to arise due to purely quantum or semiclassical effects. In the spectrum of chaotic systems,
the localized and random states interact with one another and modify the spectral statistics …
approximated as random states. Corresponding eigenvalue spectra are modeled through an
appropriate ensemble described by random matrix theory. However, a small subset of states
violates this principle and displays eigenstate localization, a counterintuitive feature known
to arise due to purely quantum or semiclassical effects. In the spectrum of chaotic systems,
the localized and random states interact with one another and modify the spectral statistics …
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