Weyer, PG Tagung, FAKT

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Weyer, ÖPG Tagung, FAKT 27.September, 2004
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Geometric Phase
total phase
dynamical
geometric
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Geometric Phase for 1/2-spin system
??/2
dynamical
geometric
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Geometric Phase in simple rotation
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Neutron Interferometry
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0ff-diagonal geometric phase
(Diagonal) Geometric phase
Off-diagonal geometric phase
Y.Hasegawa et al., PRL87 (2001) 070401 PRA65
(2003) 052111.
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Various two-level system
gtgt Described by SU(2)
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Geometric Phase in split-beam experiment
Y.Hasegawa et al., PRA53 (1996) 2486.
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Spatial geometric phase
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Experimental results cyclic case
For Loop-A
Y.Hasegawa et al., PRA53 (1996) 2486.
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Solid angle vs geometric phase cyclic case
Poincaré sphere descriptions
Y.Hasegawa et al., PRA53 (1996) 2486.
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Further development for non-cyclic case
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Experimental results non-cyclic case
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Final results non-cyclic case
(T1/8)
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Summary

• ? Extension of cyclic spatial geometric phase
• to non-cyclic evolution.
• Poincaré sphere description of two-paths system
• in the interferometer.
• Calculation of the non-cyclic geometric phase
• based on the area surrounded on the
  Poincaré sphere.
• ? Good agreements between the experimental
  results
• and the theoretical prediction.

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Fin !