Geometric phases for non-degenerate and degenerate mixed states

Details Geometric phases for non-degenerate and degenerate mixed states Geometric phases for non-degenerate and degenerate mixed states

2003-04-10

arxiv.org/abs/quant-ph/0304068v1

PRA 67, 032106 (2003)

Physics

Quantum Physics

23 pages

Scientific paper

10.1103/PhysRevA.67.032106

This paper focuses on the geometric phase of general mixed states under unitary evolution. Here we analyze both non-degenerate as well as degenerate states. Starting with the non-degenerate case, we show that the usual procedure of subtracting the dynamical phase from the total phase to yield the geometric phase for pure states, does not hold for mixed states. To this end, we furnish an expression for the geometric phase that is gauge invariant. The parallelity conditions are shown to be easily derivable from this expression. We also extend our formalism to states that exhibit degeneracies. Here with the holonomy taking on a non-abelian character, we provide an expression for the geometric phase that is manifestly gauge invariant. As in the case of the non-degenerate case, the form also displays the parallelity conditions clearly. Finally, we furnish explicit examples of the geometric phases for both the non-degenerate as well as degenerate mixed states.

Affiliated with

Also associated with

No associations

Rating

Geometric phases for non-degenerate and degenerate mixed states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric phases for non-degenerate and degenerate mixed states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric phases for non-degenerate and degenerate mixed states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-274451