Resolution in rotation measurements

The limiting resolution in optical interferometry is set by the number of photons used, with the functional dependence determined by the state of light that is prepared. We consider the problem of measuring the rotation of a beam of light about an optical axis and show how the limiting resolution depends on the total number of quanta of orbital angular momentum carried by the light beam.

[1]  S. Barnett,et al.  Measuring the orbital angular momentum of a single photon. , 2002, Physical review letters.

[2]  Miles Padgett,et al.  Momentum paradox in a vortex core , 2005 .

[3]  Miles J. Padgett,et al.  The Poynting vector in Laguerre–Gaussian beams and the interpretation of their angular momentum density , 2000 .

[4]  Kimble,et al.  Precision measurement beyond the shot-noise limit. , 1987, Physical review letters.

[5]  C. Caves.  Quantum Mechanical Noise in an Interferometer , 1981 .

[6]  Kimble,et al.  Spectroscopy with squeezed light. , 1992, Physical review letters.

[7]  S. Barnett,et al.  Langevin treatment of quantum fluctuations and optical patterns in optical parametric oscillators below threshold , 1997 .

[8]  Holland,et al.  Interferometric detection of optical phase shifts at the Heisenberg limit. , 1993, Physical review letters.

[9]  R. V. Jones.  'Fresnel aether drag' in a transversely moving medium , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[10]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[11]  Claude Fabre,et al.  Quantum limits in the measurement of very small displacements in optical images. , 2000 .

[12]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[13]  M. Vasnetsov,et al.  Analysis of orbital angular momentum of a misaligned optical beam , 2005 .

[14]  Stephen M. Barnett,et al.  Uncertainty principle for angular position and angular momentum , 2004 .

[15]  S. Barnett,et al.  Minimum uncertainty states of angular momentum and angular position , 2005, EQEC '05. European Quantum Electronics Conference, 2005..

[16]  P K Lam,et al.  Surpassing the standard quantum limit for optical imaging using nonclassical multimode light. , 2002, Physical review letters.

[17]  Miss A.O. Penney.  (b) , 1974, The New Yale Book of Quotations.

[18]  G. Summy,et al.  PHASE OPTIMIZED QUANTUM STATES OF LIGHT , 1990 .

[19]  Stephen M. Barnett,et al.  The angular momentum of light inside a dielectric , 2003 .

[20]  Stephen M. Barnett,et al.  Optical Angular Momentum , 2003 .

[21]  B. Yurke,et al.  Squeezed-light-enhanced polarization interferometer. , 1987, Physical review letters.

[22]  Barnett,et al.  Phase properties of the quantized single-mode electromagnetic field. , 1989, Physical review. A, General physics.

[23]  E. Abramochkin,et al.  Beam transformations and nontransformed beams , 1991 .

[24]  R. Sillitto.  The Quantum Theory of Light , 1974 .

[25]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[26]  S. Lloyd,et al.  Quantum-Enhanced Measurements: Beating the Standard Quantum Limit , 2004, Science.

[27]  Jacobson,et al.  Photonic de Broglie waves. , 1995, Physical review letters.

[28]  Klauder,et al.  SU(2) and SU(1,1) interferometers. , 1986, Physical review. A, General physics.

[29]  S. Barnett,et al.  Photonic de broglie wave interferometers , 1998 .

[30]  Barnett,et al.  Quantum theory of rotation angles. , 1990, Physical review. A, Atomic, molecular, and optical physics.