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Now showing items 1-6 of 6

#### Geometric inequalities from phase space translations

(2016-07-22)

We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher information inequality for a state which results ...

#### Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction

(2016-01-01)

We study the time evolution of a system of $N$ spinless fermions in $\mathbb{R}^3$ which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation ...

#### 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 ...

#### Universal Bounds for Large Determinants from Non–Commutative Ho ̈lder Inequalities in Fermionic Constructive Quantum Field Theory

(2016-01-01)

Efficiently bounding large determinants is an essential step in non–relati- vistic fermionic constructive quantum field theory, because, together with the summability of the interaction and the covariance, it implies the ...

#### Lieb–Robinson Bounds for Multi–Commutators and Applications to Response Theory

(2016-01-01)

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 expan- sions) ...

#### Microscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particles

(2016-01-01)

We apply Liebâ€“Robinson bounds for multi-commutators we recently derived (Bru and de Siqueira Pedra, Liebâ€“Robinson bounds for multi-commutators and applications to response theory, 2015) to study the (possibly non-linear) ...