Pancharatnam phase in non-separable states of light

Abstract

Abstract. We generate the non-separable state of polarization and orbital angular momentum (OAM) using a laser beam. The generated state undergoes a cyclic polarization evolution which introduces a Pancharatnam geometric phase to the polarization state and in turn a relative phase in the non-separable state. We experimentally study the violation of Bell -CHSH inequality for different Pancharatnam phases introduced by various cyclic polarization evolutions with linear and circular states as measurement bases. While measuring in linear bases, the Bell-CHSH parameter oscillates with Pancharatnam phase. One can overcome this dependence by introducing a relative phase in one of the projecting state. However for measurement in circular bases, the Pancharatnam phase does not affect the Bell-CHSH violation.

A prescription for transforming polarization states of light using two quarter waveplates

“…Manipulating polarization states of light with a minimum number of optical elements is an important requirement in the field of polarization optics. Implementation of quantum walks using linear optics [1], measurement of quantum correlations of optical systems [2], quantum state tomography, determination of Mueller matrix of arbitrary optical materials [3], measurement of the Pancharatnam phase [4,5] and the generation of mixed states [6,7] are some typical examples where such gadgets are being used in the present scenario. In all these applications, the general requirement is to realize a unitary state transformations with the help of a minimal number of linear optical elements.…”