W2 Reading
November 28, 2006

Entanglement and statistical mechanics

In two recent papers by two independent groups (in Nature Physics and in Physical Review Letters), 80 years after quantum mechanics was first put together in a coherent fashion, it is shown that the assumption of equal probability in statistical mechanics can be justified within quantum physics. Basically, these groups show that even if the whole universe (system+environment) is in a pure state in a constrained Hilbert space, if the environment is sufficiently large, the density operator of the system will be sufficiently close to the one obtained by assuming an equal-probability density operator for the Universe in the constrained Hilbert space.

Complex $p$-wave superconductivity

A University of Illinois group headed by D. J. Van Harlingen have found evidence for the theoretically-predicted $p+ip$ superconductivity in the ruthenate compound, Sr2RuO4. They have used phase-sensitive Josephson junction experiments to measure the symmetry of the gap function. Van Harlingen was also part of the group who determined the $d$-wave nature of cuprate superconductors using similar phase-sensitive experiments in 1995. The complex order parameter breaks time-reversal symmetry. This effect has also been recently observed in Kerr-effect (see also the wikipedia article) measurements, which detect the rotaion in the polarization of an incident light on a chiral material. Maurice Rice's perspective is very much worth reading.

filed in [ Reading ]