My primary research interest is experimental quantum optics. Some specific examples are the construction of sources of bright high-quality entangled photons, implementing linear optical quantum computing protocols, testing the Leggett-Garg Inequality, and testing complementarity at the single photon level. I am also interested in theoretical nonlinear dynamics and quantum chaos, specifically as it relates to the classical-quantum transition.
I have been working on a compact, high-quality source of entangled photons in collaboration with Paul Kwiat’s group at the University of Illinois at Urbana-Champaign. I spent a sabbatical with Andrew White’s group at the University of Queensland where I worked on several experiments involving quantum computation, complementarity, and weak values. An article for a general audience that describes some of this work can be found here: https://www.quantamagazine.org/20160119-time-entanglement/
In my lab, we have been working on the power loss from reflective diffraction gratings due to resonant surface plasmon excitation.
We are also working on an aurora detector and have set up an entangled photon source.
Past students have worked on calculating distributions of “short-time Lyapunov exponents.” Yes, this is an oxymoron, but it is the most succinct way of describing the short-time exponential divergence of trajectories. By adjusting the time over which a “Lyapunov exponent” is calculated, we gain more detailed information about the sensitivity of the system on different time scales.
Classical – Quantum Transition
I am trying to finish a project that involves a calculation of level curves of the Wigner distribution function for the square barrier potential. This should give some insight to semiclassical tunneling.
If any of this sounds interesting, and you are a student at Truman State, stop by my office sometime and we can discuss your interests.