Singularities of the Mixed State Phase

on the status of mixed methods research in applied linguistics

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05 8 v 1 1 3 A ug 2 00 1 On singularities of the mixed state phase

Mixed State Geometric Phase from Thomas Rotations

It is shown that Uhlmann’s parallel transport of purifications along a path of mixed states represented by 2 × 2 density matrices is just the path ordered product of Thomas rotations. These rotations are invariant under hyperbolic translations inside the Bloch sphere that can be regarded as the Poincaré ball model of hyperbolic geometry. A general expression for the mixed state geometric phase ...

Temperature effects on mixed-state geometric phase

Geometric phase of an open quantum system that is interacting with a thermal environment (bath) is studied through some simple examples. The system is considered to be a simple spin-half particle which is weakly coupled to the bath. It is seen that even in this regime the geometric phase can vary with temperature. In addition, we also consider the system under an adiabatically time-varying magn...

The gas-liquid phase-transition singularities in the framework of the liquid-state integral equation formalism.

The singularities of various liquid-state integral equations derived from the Ornstein-Zernike relation and its temperature derivatives, have been investigated in the liquid-vapor transition region. As a general feature, it has been found that the existence of a nonsolution curve on the vapor side of the phase diagram, on which both the direct and the total correlation functions become complex-...