### Recent Submissions

• #### Classical dynamics generated by long-range interactions for lattice fermions and quantum spins ﻿

(2021)
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ...
• #### Macroscopic Dynamics of the Strong-Coupling BCS-Hubbard Model, ﻿

(2020)
The aim of the current paper is to illustrate, in a simple example, our recent, very general, rigorous results on the dynamical properties of fermions and quantum-spin systems with long-range, or meanfield, interactions, ...
• #### Lieb–Robinson Bounds for Multi–Commutators and Applications to Response Theory ﻿

(2017)
We generalize to multi-commutators the usual Lieb–Robinson bounds for commutators. In the spirit of constructive QFT, this is done so as to allow the use of combinatorics of minimally connected graphs (tree expansions) in ...
• #### Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermion and Quantum Spins ﻿

(2021)
We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. ...
• #### Equilibrium and Transport Properties of Quantum Many-Body Systems ﻿

(2019-10-30)
This thesis is a study of equilibrium and dynamical properties of macroscopic quantum many-body problems. An important part of the manuscript concerns the study of heat and charge transport properties of fermions on the ...

(2013-07)
• #### Diagonalizing quadratic bosonic operators by non-autonomous flow equations volker bach ﻿

(2016-01-01)
We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. We specify assumptions that ensure the global existence of its solutions and allow us to derive its asymptotics ...
• #### Microscopic conductivity of lattice fermions at equilibrium. I. Non-interacting particles ﻿

(2015-12-31)
We consider free lattice fermions subjected to a static bounded potential and a timeand space-dependent electric field. For any bounded convex region R âŠ‚ â„ (d (d â‰¥ 1) of space, electric fields Îµ within R drive currents. ...