Density Matrices and Geometric Phases for n-state Systems

1998/10/28 by Luis J. Boya, Mark Byrd, Boya, Luis J. +5
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9810084

10 pages LaTeX2e, UT article class, 1 figure

arxiv created 1998/10/28 · arxiv updated 2009/12/01

Abstract

An explicit parameterization is given for the density matrices for n-state systems. The geometry of the space of pure and mixed states and the entropy of the n-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.

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