Geometric phase topology in weak measurement

The geometric phase visualization proposed by Bhandari (R Bhandari 1997 Phys. Rep. 281 1-64) in the ellipticity-ellipse orientation basis of the polarization ellipse of light is implemented to understand the geometric aspects of weak measurement. The weak interaction of a pre-selected state, acheive...

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Bibliographic Details
Published in:Journal of optics (2010) 2017-12, Vol.19 (12), p.125401
Main Authors: Samlan, C T, Viswanathan, Nirmal K
Format: Article
Language:English
Subjects:
geometric phase
spin Hall effect of light
weak measurement
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Summary:The geometric phase visualization proposed by Bhandari (R Bhandari 1997 Phys. Rep. 281 1-64) in the ellipticity-ellipse orientation basis of the polarization ellipse of light is implemented to understand the geometric aspects of weak measurement. The weak interaction of a pre-selected state, acheived via spin-Hall effect of light (SHEL), results in a spread in the polarization ellipticity ( ) or ellipse orientation (χ) depending on the resulting spatial or angular shift, respectively. The post-selection leads to the projection of the spread in the complementary χ basis results in the appearance of a geometric phase with helical phase topology in the − χ parameter space. By representing the weak measurement on the Poincaré sphere and using Jones calculus, the complex weak value and the geometric phase topology are obtained. This deeper understanding of the weak measurement process enabled us to explore the techniques' capabilities maximally, as demonstrated via SHEL in two examples-external reflection at glass-air interface and transmission through a tilted half-wave plate.
ISSN:2040-8978
2040-8986
DOI:10.1088/2040-8986/aa9294