8 papers
Quantum Chaos with a Macroscopic Zero-Mode Sector
Cheryne Jonay, Kun W. Kim, Frank Pollmann +1
Chaotic many-body spectra are expected to densely fill their energy window. We show that constrained spin chains with chiral symmetry evade this expectation by hosting an exponenti…
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…
Continuum field theory of matchgate tensor network ensembles
Maksimilian Usoltcev, Carolin Wille, Jens Eisert +1
Tensor networks provide discrete representations of quantum many-body systems, yet their precise connection to continuum field theories remains relatively poorly understood. Invoki…
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…
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…
Path integral approach to quantum thermalization
Alexander Altland, Kun Woo Kim, Tobias Micklitz
We introduce a quasiclassical Green function approach describing the unitary yet irreversible dynamics of quantum systems effectively acting as their own environment. Combining a v…