4 citations · 5 across the 4 of their papers we have counts for
5 papers
Spatial quasiperiodic driving of a dissipative optical lattice and origin of directed Brillouin modes in a randomly diffusing cold atom cloud
David Cubero, Kefeng Jiang, Alexander Staron +5
Atoms confined in a three-dimensional dissipative optical lattice oscillate inside potential wells, occasionally hopping to adjacent wells, thereby diffusing in all directions. Ill…
Observation of stochastic resonance in directed propagation of cold atoms
Alexander Staron, Kefeng Jiang, Casey Scoggins +3
Randomly diffusing atoms confined in a dissipative optical lattice are illuminated by a weak probe of light. The probe transmission spectrum reveals directed atomic propagation tha…
On the perturbation of positive semigroups
Christian Seifert, Daniel Wingert
We prove a perturbation result for positive semigroups, thereby extending a heat kernel estimate by Barlow, Grigor'yan and Kumagai for Dirichlet forms (\cite{bgk2009}) to positive…
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
Rupert L. Frank, Daniel Lenz, Daniel Wingert
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem. For strongly local forms…
Compactness of Schrödinger semigroups
Daniel Lenz, Peter Stollmann, Daniel Wingert
This paper is concerned with emptyness of the essential spectrum, or equivalently compactness of the semigroup, for perturbations of selfadjoint operators that are bounded below (o…