Efficient interaction-free measurements in a high-finesse interferometer

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 5, 1998, Pages 3987-3990

  Tsegaye, T ^a   Goobar, E ^a   Karlsson, A ^a   Bjork G ^a   Loh, M Y ^a   Lim, K H ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17344369479     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.3987     Document Type: Article

References (13)

1. M. Renninger, Z. Phys. 158, 417 (1960).ZEPYAA
2. R.H. Dicke, Am. J. Phys. 49, 925 (1981).AJPIAS
3. A. Elitzur and L. Vaidman, Found. Phys. 23, 987 (1993).FNDPA4
4. L. Vaidman, Quantum Opt. 6, 119 (1994).QUOPET
5. P. Kwiat, H. Weinfurther, T. Herzog, A. Zeilinger, and M. Kasevich, Phys. Rev. Lett. 74, 4763 (1995).PRLTAO
6. P. Kwiat, H. Weinfurther, T. Herzog, A. Zeilinger, and M. Kasevich, in Proceedings of Fundamental Problems in Quantum Theory [Ann. (N.Y.) Acad. Sci. 755, 383 (1995)].ANYAA9
7. D. Gabor, Prog. Opt. 1, 122 (1966).POPTAN
8. Y. Yamamoto (private communication).
9. M. Pavicic, Phys. Lett. A 223, 241 (1996).PYLAAG
10. H. Paul and M. Pavicic, Int. J. Theor. Phys. 35, 2085 (1996).IJTPBM
11. A. Karlsson, G. Björk, and E. Forsberg, Phys. Rev. Lett. 80, 1198 (1998).PRLTAO
12. Here it is assumed that the detectors (Formula presented) and (Formula presented) are ideal (unity quantum effiency and no darkcounts). In this case the outcomes (Formula presented), (Formula presented), and (Formula presented) have to be modified: The experiment is performed for a fixed time with a large number (Formula presented) of photons being sent one by one towards the interferometer until detector (Formula presented) detects a photon (outcome (Formula presented), or a photon is absorbed by the object (outcome (Formula presented); outcome (Formula presented) is when the experiment has been performed without any photons being detected by detector (Formula presented) or absorbed by the object. Under these circumstances, it can be shown that the probability of detecting the presence of the object without any photons being absorbed is (Formula presented)
13. R. Hanbury Brown and R.Q. Twiss, Nature (London) 177, 27 (1956). NATUAS