Photon position measure

作者: Margaret Hawton

DOI: 10.1103/PHYSREVA.82.012117

关键词:

摘要: The positive operator valued measure (POVM) for a photon counting array detector is derived and found to equal flux density integrated over pixel area measurement time. Since equals number multiplied by the speed of light, this justifies theoretically observation that provides coarse-grained position. POVM obtained here can be written as set projectors onto basis localized states, consistent with description position in recent quantum imaging proposal [Tsang, Phys. Rev. Lett. 102, 253601 (2009)]. wave function describes experiment projection state vector basis. Collapse electromagnetic vacuum not state, thus violating textbook rules mechanics but compatible theory generalized observables nonlocalizability an incoming photon.

参考文章(16)
W.O. Amrein, LOCALIZABILITY FOR PARTICLES OF MASS ZERO. Helvetica Physica Acta. ,vol. 42, pp. 149- 190 ,(1969)
Roy S. Bondurant, Response of ideal photodetectors to photon flux and/or energy flux. Physical Review A. ,vol. 32, pp. 2797- 2802 ,(1985) , 10.1103/PHYSREVA.32.2797
Margaret Hawton, Lorentz-invariant photon number density Physical Review A. ,vol. 78, pp. 012111- ,(2008) , 10.1103/PHYSREVA.78.012111
J. E. Sipe, Photon wave functions Physical Review A. ,vol. 52, pp. 1875- 1883 ,(1995) , 10.1103/PHYSREVA.52.1875
Masahito Ueda, Nobuyuki Imoto, Tetsuo Ogawa, Quantum theory for continuous photodetection processes. Physical Review A. ,vol. 41, pp. 3891- 3904 ,(1990) , 10.1103/PHYSREVA.41.3891
L. Landau, R. Peierls, Quantenelektrodynamik im Konfigurationsraum European Physical Journal. ,vol. 62, pp. 188- 200 ,(1930) , 10.1007/BF01339793
K. W. Chan, C. K. Law, J. H. Eberly, Localized single-photon wave functions in free space. Physical Review Letters. ,vol. 88, pp. 100402- ,(2002) , 10.1103/PHYSREVLETT.88.100402
Iwo Bialynicki-Birula, Exponential Localization of Photons Physical Review Letters. ,vol. 80, pp. 5247- 5250 ,(1998) , 10.1103/PHYSREVLETT.80.5247
H. J. Kimble, L. Mandel, Photoelectric detection of polychromatic light Physical Review A. ,vol. 30, pp. 844- 850 ,(1984) , 10.1103/PHYSREVA.30.844