Change of the Pancharatnam phase under unitary transformation and application to a model three-level Γ-type system specified by a pair of dipole-coupled excited states

Autor:	Istok P Mendaš, Duška B Popović
Rok vydání:	2011
Předmět:	Physics Hilbert space State vector Unitary transformation Invariant (physics) Condensed Matter Physics Atomic and Molecular Physics and Optics symbols.namesake Transformation (function) Geometric phase Quantum mechanics Excited state Quantum system symbols Mathematical Physics Mathematical physics
Zdroj:	Physica Scripta. 85:015008
ISSN:	1402-4896 0031-8949
DOI:	10.1088/0031-8949/85/01/015008
Popis:	The interdependence of total, dynamic and geometric (Pancharatnam) phases of the state vector of a quantum system that are determined in different representations is considered. One finds that the phases calculated using two different bases of the Hilbert space, which are related by a time-dependent unitary transformation, are not invariant under this transformation; rather they are connected by non-trivial and well-defined relations. We determine the general relationships between the phases in different representations and then apply and verify these transformations in the case of the physically interesting model of the three-level Γ-type system specified by a pair of dipole-coupled excited states.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::84756ab41d75d8c3df860e6cf6e5ac96 https://doi.org/10.1088/0031-8949/85/01/015008 Zobrazit plný text záznamu