7 papers
Theory of Anderson localization on the hyperbolic plane
Alexander Altland, Tobias Micklitz, Devasheesh Sharma +2
The two-dimensional hyperbolic plane, , is an unusual system in that dimensionality changes with scale: locally two-dimensional and planar at short distances, but eff…
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…
Simulation-Free Fidelity Estimation via Quantum Output Order Statistics
Tobias Micklitz
We introduce a simulation-free method to estimate the fidelity of large quantum circuits based on the order statistics of measured output probabilities from highly entangled, chaot…
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…
Topology in the Random Scattering of Light
Tobias Micklitz, Alexander Altland
Light scattering in random media is usually considered within the framework of the three-dimensional Anderson universality class, with modifications for the vector nature of electr…