Geometric phases for mixed states and decoherence

Details Geometric phases for mixed states and decoherence Geometric phases for mixed states and decoherence

2006-10-20

arxiv.org/abs/quant-ph/0610170v1

AnnalsPhys.322:1500-1517,2007

Physics

Quantum Physics

23 pages. To be published in Annals of Physics

Scientific paper

10.1016/j.aop.2006.10.003

The gauge invariance of geometric phases for mixed states is analyzed by using the hidden local gauge symmetry which arises from the arbitrariness of the choice of the basis set defining the coordinates in the functional space. This approach gives a reformulation of the past results of adiabatic, non-adiabatic and mixed state geometric phases. The geometric phases are identified uniquely as the holonomy associated with the hidden local gauge symmetry which is an exact symmetry of the Schr\"{o}dinger equation. The purification and its inverse in the description of de-coherent mixed states are consistent with the hidden local gauge symmetry. A salient feature of the present formulation is that the total phase and visibility in the mixed state, which are directly observable in the interference experiment, are manifestly gauge invariant.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362313