Nonlinear behavior of geometric phases induced by photon pairs

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.063808· OSTI ID:21550189

Kobayashi, H; Ikeda, Y; Tamate, S; Nakanishi, T; Kitano, M ^[1]

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1. Department of Electronic Science and Engineering, Kyoto University, Kyoto 615-8510 (Japan)

In this study, we observe the nonlinear behavior of the two-photon geometric phase for polarization states using time-correlated photon pairs. This phase manifests as a shift of two-photon interference fringes. Under certain arrangements, the geometric phase can vary nonlinearly and become very sensitive to a change in the polarization state. Moreover, it is known that the geometric phase for N identically polarized photons is N times larger than that for one photon. Thus, the geometric phase for two photons can become two times more sensitive to a state change. This high sensitivity to a change in the polarization can be exploited for precision measurement of small polarization variation. We evaluate the signal-to-noise ratio of the measurement scheme using the nonlinear behavior of the geometric phase under technical noise and highlight the practical advantages of this scheme.

• OSTI ID: 21550189
• Journal Information: Physical Review. A, Vol. 83, Issue 6; Other Information: DOI: 10.1103/PhysRevA.83.063808; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACCURACY
GEOMETRY
INTERFERENCE
NONLINEAR PROBLEMS
PAIRING INTERACTIONS
PHOTONS
POLARIZATION
SENSITIVITY
SIGNAL-TO-NOISE RATIO
BOSONS
DIMENSIONLESS NUMBERS
ELEMENTARY PARTICLES
INTERACTIONS
MASSLESS PARTICLES
MATHEMATICS