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Geometrical Interpretation of Quantum Weak Measurement


We revisit the quantum weak measurement (QWM) by sketching the polarisation state dynamics on the Poincare sphere and the associated geometric phase, which is considered the soul of QWM. Our experimental arrangement comprises a coherent laser beam as a source of pure state, two polarizers corresponding to pre- and post-selection and a tilted wave plate placed in-between them to introduce weak interaction. The pre-selected state is a linearly polarised beam that can be represented as a point on the Poincare sphere equator and the weak interaction with the wave plate results in a small spread in S_3 axis. Now, an orthogonal projection of this state leads two different geodesics on the surface of the sphere through its poles, starting from both sides of the spread to the orthogonal point. The post-selection is made by moving the projection point slightly away from the orthogonal position so that both geodesics shift to the equator which results in a rapid accumulation of geometric phase in the beam cross-section. A gradient in the linear momentum is developed as a consequence which gives amplified shift in the beam position.......

【作者名称】: C T Samlan, Nirmal Viswanathan
【作者单位】: School of Physics, University of Hyderabad, Gachibowli, Hyderabad, India 50046, School of Physics, University of Hyderabad, Gachibowli, Hyderabad, India 50046
【关 键 词】: Weak measurement, Polarization transformation, Poincare sphere, Geometric phase, Phase singularity
【会议名称】: Complex light and optical forces XI
【期刊论文数据库】: [DBS_Articles_01]
【期刊论文编号】: 101,733,664
【摘要长度】: 1,139
【会议地点】: San Francisco(US)
【会议组织】: School of Physics, University of Hyderabad, Gachibowli, Hyderabad, India 50046;School of Physics, University of Hyderabad, Gachibowli, Hyderabad, India 50046;
【会议时间】: 2017
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