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

Arvind, * and Mallesh, KS and Mukunda, N (1997) A generalized Pancharatnam geometric phase formula for three-level quantum systems. In: Journal of Physics A: Mathematical and General, 30 (7). 2417-2431.

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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:	Journal Article
Publication:	Journal of Physics A: Mathematical and General
Publisher:	Institute of Physics
Additional Information:	The copyright of this article belongs to Institute of Physics
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Physics
Date Deposited:	16 Aug 2004
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ac.in/id/eprint/937

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