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

Arvind and Mallesh, K.S. and 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.

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Official URL: https://doi.org/10.1088/0305-4470/30/7/021

Abstract

We describe a recently developed generalization of the Poincare 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
Subjects: D Physical Science > Physics
Divisions: Department of > Physics
Depositing User: Users 23 not found.
Date Deposited: 01 Jun 2021 04:56
Last Modified: 01 Jun 2021 04:56
URI: http://eprints.uni-mysore.ac.in/id/eprint/16626

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