We demonstrate that Pancharatnam's relative phase for mixed spin $-{1/2}$ states in noncyclic SU(2) evolution can be measured polarimetrically.We demonstrate that Pancharatnam's relative phase for mixed spin$-{1/2}$ states in noncyclic SU(2) evolution can be measured polarimetrically.

May 22, 200310 citations

SU(3) polarization states in quantum and atomic optics and high-precision measurements

Sergei N Bagaev, A. P. Alodjants, Sergei M Arakelyan

Doklady PhysicsMar 1, 20041 citation

Noncyclic phase in SO(3) polarimetry

Peter Larsson, Erik Sjöqvist

The polarimetric test of Pancharatnam's relative phase for spin $-{1/2}$ proposed by Wagh and Rakhecha [Phys. Lett. A {\\bf 197}, 112 (1995)] is extended to spin $j\\geq 1$ undergoing noncyclic SO(3) evolution. We demonstrate that the output intensity for higher spin values is a polynomial function of the corresponding spin $-{1/2}$ intensity. We further propose a general method to extract the noncyclic SO(3) phase and visibility by rigid translation of two $\\pi /2$ spin flippers. Polarimetry on higher spin states may in practice be done with spin polarized atomic beams.The polarimetric test of Pancharatnam's relative phase for spin$-{1/2}$ proposed by Wagh and Rakhecha [Phys. Lett. A {\\bf 197}, 112 (1995)] is extended to spin $j\\geq 1$ undergoing noncyclic SO(3) evolution. We demonstrate that the output intensity for higher spin values is a polynomial function of the corresponding spin$-{1/2}$ intensity. We further propose a general method to extract the noncyclic SO(3) phase and visibility by rigid translation of two $\\pi /2$ spin flippers. Polarimetry on higher spin states may in practice be done with spin polarized atomic beams.

May 15, 20030 citations

We demonstrate that Pancharatnam's relative phase for mixed spin

-{1/2}

states in noncyclic SU(2) evolution can be measured polarimetrically.

The polarimetric test of Pancharatnam's relative phase for spin

-{1/2}

proposed by Wagh and Rakhecha [Phys. Lett. A {\\bf 197}, 112 (1995)] is extended to spin

j\\geq 1

undergoing noncyclic SO(3) evolution. We demonstrate that the output intensity for higher spin values is a polynomial function of the corresponding spin

-{1/2}

intensity. We further propose a general method to extract the noncyclic SO(3) phase and visibility by rigid translation of two

\\pi /2

spin flippers. Polarimetry on higher spin states may in practice be done with spin polarized atomic beams.