Mixed State Holonomies
数学物理
2007-05-23 v4 凝聚态物理
math.MP
量子物理
摘要
Sjoqvist, Pati, Ekert, Anandan, Ericsson, Oi and Vedral (Phys. Rev. Lett. 85, 2845 [2000]) have recently "provided a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past". They note that "Uhlmann was probably the first to address the issue of mixed state holonomy, but as a purely mathematical problem". We investigate possible relationships between these "experimental" and "mathematical" approaches, by examining various quantum-theoretic scenarios. We find that the two methodologies, in general, yield inequivalent outcomes.
引用
@article{arxiv.math-ph/0111041,
title = {Mixed State Holonomies},
author = {Paul B. Slater},
journal= {arXiv preprint arXiv:math-ph/0111041},
year = {2007}
}
备注
eight pages, LaTex, four figures, modified presentation