English

Density Matrices and Geometric Phases for n-state Systems

Quantum Physics 2007-05-23 v1

Abstract

An explicit parameterization is given for the density matrices for nn-state systems. The geometry of the space of pure and mixed states and the entropy of the nn-state system is discussed. Geometric phases can arise in only specific subspaces of the space of all density matrices. The possibility of obtaining nontrivial abelian and nonabelian geometric phases in these subspaces is discussed.

Keywords

Cite

@article{arxiv.quant-ph/9810084,
  title  = {Density Matrices and Geometric Phases for n-state Systems},
  author = {Luis J. Boya and Mark Byrd and Mark Mims and E. C. G. Sudarshan},
  journal= {arXiv preprint arXiv:quant-ph/9810084},
  year   = {2007}
}

Comments

10 pages LaTeX2e, UT article class, 1 figure