199 citations · 299 across the 6 of their papers we have counts for
6 papers
Solutions of the sDiff(2)Toda equation with SU(2) Symmetry
Daniel Finley, John K. McIver
We present the general solution to the Plebanski equation for an H-space that admits Killing vectors for an entire SU(2) of symmetries, which is therefore also the general solution…
Bloch Equations and Completely Positive Maps
Sonja Daffer, Krzysztof Wodkiewicz, John K. McIver
The phenomenological dissipation of the Bloch equations is reexamined in the context of completely positive maps. Such maps occur if the dissipation arises from a reduction of a un…
Completely positive maps with memory
Sonja Daffer, Krzysztof Wodkiewicz, James D. Cresser +1
The prevailing description for dissipative quantum dynamics is given by the Lindblad form of a Markovian master equation, used under the assumption that memory effects are negligib…
Nonlocality of Two-Mode Squeezing with Internal Noise
Sonja Daffer, Krzysztof Wodkiewicz, John K. McIver
We examine the quantum states produced through parametric amplification with internal quantum noise. The internal diffusion arises by coupling both modes of light to a reservoir fo…
Quantum Markov Channels for Qubits
Sonja Daffer, Krzysztof Wodkiewicz, John K. McIver
We examine stochastic maps in the context of quantum optics. Making use of the master equation, the damping basis, and the Bloch picture we calculate a non-unital, completely posit…
Infinite-Dimensional Estabrook-Wahlquist Prolongations for the sine-Gordon Equation
J. D. Finley, III, John K. McIver
We are looking for the universal covering algebra for all symmetries of a given pde, using the sine-Gordon equation as a typical example for a non-evolution equation. For non-evolu…