5 papers
Effective gaps in continuous Floquet Hamiltonians
Amir Sagiv, Michael I. Weinstein
We consider two-dimensional Schroedinger equations with honeycomb potentials and slow time-periodic forcing of the form: $$iψ_t (t,x) = H^\varepsilon(t)ψ=\left(H^0+2i\varepsilon A…
Loss of Physical Reversibility in Reversible Systems
Amir Sagiv, Adi Ditkowski, Roy H. Goodman +1
A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. Nevertheless, we argue that reversible systems that have…
The Wasserstein Distances Between Pushed-Forward Measures with Applications to Uncertainty Quantification
Amir Sagiv
In the study of dynamical and physical systems, the input parameters are often uncertain or randomly distributed according to a measure . The system's response pushes…
Loss of Polarization in Collapsing Beams
Gauri Patwardhan, Xiaohui Gao, Amir Sagiv +5
We show theoretically and demonstrate experimentally that collapsing elliptically-polarized laser beams experience a nonlinear ellipse rotation that is highly sensitive to small fl…
Density Estimation in Uncertainty Propagation Problems Using a Surrogate Model
Adi Ditkowski, Gadi Fibich, Amir Sagiv
The effect of uncertainties and noise on a quantity of interest (model output) is often better described by its probability density function (PDF) than by its moments. Although den…