Quantifying Dip–Ramp–Plateau for the Laguerre Unitary Ensemble Structure Function
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DOI: 10.1007/s00220-021-04193-w
Abstract: The ensemble average of $| \sum_{j=1}^N e^{i k \lambda_j} |^2$ is of interest as a probe of quantum chaos, as is its connected part, the structure function. Plotting this average for model systems of chaotic… read more here.
Keywords: ramp plateau; unitary ensemble; structure function; dip ramp ... See more keywords
Gaussian unitary ensemble via Frobenius manifolds. II. Loop equations
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DOI: 10.1063/5.0160125
Abstract: A theorem of Dubrovin establishes the relationship between the GUE (Gaussian unitary ensemble) partition function and the partition function of Gromov–Witten invariants of the complex projective line. Based on this theorem we derive loop equations… read more here.
Keywords: unitary ensemble; partition; partition function; loop equations ... See more keywords