Random matrix theory of the isospectral twirling
نویسندگان
چکیده
We present a systematic construction of probes into the dynamics isospectral ensembles Hamiltonians by notion Isospectral twirling, expanding scopes and methods ref. [1]. The relevant are those defined salient spectral probability distributions. Gaussian Unitary Ensembles (GUE) describes class quantum chaotic Hamiltonians, while spectra corresponding to Poisson Diagonal Ensemble (GDE) describe non chaotic, integrable dynamics. compute twirling several classes important quantities in analysis many-body systems: Frame potentials, Loschmidt Echos, OTOCs, Entanglement, Tripartite mutual information, coherence, distance equilibrium states, work batteries extension CP-maps. Moreover, we perform averages these random matrix theory show how clearly separate from ones.
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ژورنال
عنوان ژورنال: SciPost physics
سال: 2021
ISSN: ['2542-4653']
DOI: https://doi.org/10.21468/scipostphys.10.3.076