Entanglement in quantum catastrophes
arXiv:quant-ph/0503160 · doi:10.1103/PhysRevA.71.062302
Abstract
We classify entanglement singularities for various two-mode bosonic systems in terms of catastrophe theory. Employing an abstract phase-space representation, we obtain exact results in limiting cases for the entropy in cusp, butterfly, and two-dimensional catastrophes. We furthermore use numerical results to extract the scaling of the entropy with the non-linearity parameter, and discuss the role of mixing entropies in more complex systems.
7 pages, 3 figures