A generalized Pancharatnam geometric phase formula for three-level quantum systems

Arvind, ; Mallesh, K. S. ; Mukunda, N. (1997) A generalized Pancharatnam geometric phase formula for three-level quantum systems Journal of Physics A: Mathematical and General, 30 (7). pp. 2417-2431. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/30/7/021?fromS...

Related URL: http://dx.doi.org/10.1088/0305-4470/30/7/021

Abstract

We describe a recently developed generalization of the Poincaré sphere method, to represent pure states of a three-level quantum system in a convenient geometrical manner. The construction depends on the properties of the group SU(3) and its generators in the defining representation, and uses geometrical objects and operations in an eight-dimensional real Euclidean space. This construction is then used to develop a generalization of the well known Pancharatnam geometric phase formula, for evolution of a three-level system along a geodesic triangle in state space.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
ID Code:25359
Deposited On:06 Dec 2010 13:31
Last Modified:17 May 2016 08:50

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