41 citations · 155 across the 10 of their papers we have counts for
10 papers
Computations in quantum mechanics made easy
H J Korsch, K Rapedius
Convenient and simple numerical techniques for performing quantum computations based on matrix representations of Hilbert space operators are presented and illustrated by various e…
An approximation formula for the Bloch-Siegert shift of the Rabi model
K. Rapedius
So far the Bloch-Siegert shift of the Rabi model has only been calculated numerically or by means of perturbation theory valid in either the weak or strong driving regime only. Rec…
A simple frequency approximation formula for a class of nonlinear oscillators
Kevin Rapedius
An astonishingly simple analytical frequency approximation formula for a class of strongly nonlinear oscillators is derived and applied to various example systems yielding useful q…
Closed system approach to open systems: Tunneling decay of interacting cold bosons in an optical lattice
K. Rapedius
A Bose-Hubbard Hamiltonian, modeling cold bosons in an optical lattice, is used to simulate the dynamics of interacting open quantum systems as subsystems a larger closed system, a…
Calculating resonance positions and widths using the Siegert approximation method
Kevin Rapedius
Here we present complex resonance states (or Siegert states), that describe the tunneling decay of a trapped quantum particle, from an intuitive point of view which naturally leads…
Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
K. Rapedius, H. J. Korsch
The resonance states and the decay dynamics of the nonlinear Schrödinger (or Gross-Pitaevskii) equation are studied for a simple, however flexible model system, the double delta-sh…