Showing papers by "Vojkan Jaksic published in 2009"
TL;DR: In this paper, the authors considered a locally interacting Fermi gas in its natural non-equilibrium steady state and proved the Quantum Central Limit Theorem (QCLT) for a large class of observables.
Abstract: We consider a locally interacting Fermi gas in its natural non-equilibrium steady state and prove the Quantum Central Limit Theorem (QCLT) for a large class of observables. A special case of our results concerns finitely many free Fermi gas reservoirs coupled by local interactions. The QCLT for flux observables, together with the Green-Kubo formulas and the Onsager reciprocity relations previously established [JOP4], complete the proof of the Fluctuation-Dissipation Theorem and the development of linear response theory for this class of models.
28 citations
01 Jan 2009
TL;DR: Completeness of wave operators with sparse potentials has been shown in this paper, and a deterministic result in this direction can also be derived from a Jaksic-Last criterion of completeness.
Abstract: Completeness of the wave operators has been proven for a family of random Schrodinger operators with sparse potentials in the recent paper [17], using a probabilistic approach. As mentioned at Voss, a deterministic result in this direction can also be derived from a Jaksic-Last criterion of completeness [7] and Fredholm’s theorem. We present this approach.
9 citations