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Quantum chaos and the holographic principle
Alexander Altland, Julian Sonner
Recent years have witnessed tremendous progress in developing a fine-grained low-dimensional holographic correspondence, specifically the construction of quantum mechanical boundar…
Freeness Reined in by a Single Qubit
Alexander Altland, Francisco Divi, Tobias Micklitz +1
Free probability provides a framework for describing correlations between non-commuting observables in complex quantum systems whose Hilbert-space states follow maximum-entropy dis…
Statistics of the Random Matrix Spectral Form Factor
Alex Altland, Francisco Divi, Tobias Micklitz +2
The spectral form factor of random matrix theory plays a key role in the description of disordered and chaotic quantum systems. While its moments are known to be approximately Gaus…