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.
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|
|Additional Information:||The copyright of this article belongs to Institute of Physics|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Division of Physical & Mathematical Sciences > Physics
|Date Deposited:||16 Aug 2004|
|Last Modified:||19 Sep 2010 04:13|
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