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6 papers · 2 filters
Perturbation Bounds for Quantum Markov Processes and their Fixed Points
Oleg Szehr, Michael M. Wolf
We investigate the stability of quantum Markov processes with respect to perturbations of their transition maps. In the first part, we introduce a condition number that measures th…
Matrix-valued Boltzmann Equation for the Hubbard Chain
Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
We study, both analytically and numerically, the Boltzmann transport equation for the Hubbard chain with nearest neighbor hopping and spatially homogeneous initial condition. The t…
On Lagrangian Theory for Rotating Charge Coupled to the Maxwell Field
Valeriy Imaykin, Alexander Komech, Herbert Spohn
We justify the Hamilton least action principle for the Maxwell-Lorentz equations with Abraham's rotating extended electron. The main novelty in the proof is application of the vari…
Geometric reconstruction methods for electron tomography
Andreas Alpers, Richard J. Gardner, Stefan König +5
Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The…
Extending quantum operations
Teiko Heinosaari, Maria A. Jivulescu, David Reeb +1
For a given set of input-output pairs of quantum states or observables, we ask the question whether there exists a physically implementable transformation that maps each of the inp…
Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs
Michael Aizenman, Simone Warzel
We discuss the dynamical implications of the recent proof that for a quantum particle in a random potential on a regular tree graph absolutely continuous spectrum occurs non-pertur…