A generalized Pancharatnam geometric phase formula for three level systems

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dc.creatorArvind
dc.creatorMallesh, K. S.
dc.creatorMukunda, N.
dc.date1996-05-29
dc.date.accessioned2026-07-07T10:59:06Z
dc.date.available2026-07-07T10:59:06Z
dc.descriptionWe describe a generalisation of the well known Pancharatnam geometric phase formula for two level systems, to evolution of a three-level system along a geodesic triangle in state space. This is achieved by using a recently developed generalisation 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. Implications for an n-level system are also discussed.
dc.description12 pages, Revtex, one figure, epsf used for figure insertion
dc.identifierhttps://arxiv.org/abs/quant-ph/9605042
dc.identifierhttp://arxiv.org/abs/quant-ph/9605042
dc.identifierJ.Phys.A30:2417-2431,1997
dc.identifierdoi:10.1088/0305-4470/30/7/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187337
dc.subjectQuantum Physics
dc.titleA generalized Pancharatnam geometric phase formula for three level systems
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