Volume 62, Number 6, June 2003
|Page(s)||782 - 788|
|Published online||01 June 2003|
Phases of quantum states in completely positive non-unitary evolution
Departamento de Física-Matemática, Instituto de Física Universidade de São Paulo - C.P. 66318 05315-970 São Paulo, São Paulo, Brazil
2 Departamento de Física, Instituto de Ciências Exatas Universidade Federal de Minas Gerais - C.P. 702 30161-970 Belo Horizonte, Minas Gerais, Brazil
Corresponding author: firstname.lastname@example.org
Accepted: 25 April 2003
We define an operational notion of phases in interferometry for a quantum system undergoing a completely positive non-unitary evolution. This definition is based on the concepts of quantum measurement theory. The suitable generalization of the Pancharatnan connection allows us to determine the dynamical and geometrical parts of the total phase between two states linked by a completely positive map. These results reduce to the known expressions of the total, dynamical and geometrical phases for pure and mixed states evolving unitarily.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.65.Yz – Decoherence; open systems; quantum statistical methods
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.