We propose a quantum ghost imaging scheme based on biphotons, which, by using a collimated pump beam of the right size for biphoton generation, obviates the need for lenses to achieve imaging. The scheme is found to be analogous to the classical pinhole camera, where we show that the equivalent to the classical pinhole size depends not only mainly on the width of the pump beam but also on the thickness of the nonlinear crystal and the wavelengths of the biphoton.
References
1.
D. V.
Strekalov
, A. V.
Sergienko
, D. N.
Klyshko
, and Y. H.
Shih
, Phys. Rev. Lett.
74
, 3600
(1995
).2.
T. B.
Pittman
, Y. H.
Shih
, D. V.
Strekalov
, and A. V.
Sergienko
, Phys. Rev. A
52
, R3429
(1995
).3.
D. C.
Burnham
and D. L.
Weinberg
, Phys. Rev. Lett.
25
, 84
(1970
).4.
C. K.
Hong
and L.
Mandel
, Phys. Rev. A
31
, 2409
(1985
).5.
R. S.
Bennink
, S. J.
Bentley
, R. W.
Boyd
, and J. C.
Howell
, Phys. Rev. Lett.
92
, 033601
(2004
).6.
F.
Ferri
, D.
Magatti
, A.
Gatti
, M.
Bache
, E.
Brambilla
, and L. A.
Lugiato
, Phys. Rev. Lett.
94
, 183602
(2005
).7.
G.
Brida
, M.
Genovese
, and I. R.
Berchera
, Nat. Photonics
4
, 227
(2010
).8.
P. A.
Morris
, R. S.
Aspden
, J. E. C.
Bell
, R. W.
Boyd
, and M. J.
Padgett
, Nat. Commun.
6
, 5913
(2015
).9.
K. W. C.
Chan
, M. N.
O'Sullivan
, and R. W.
Boyd
, Phys. Rev. A
79
, 033808
(2009
).10.
S.
Karmakar
and Y.
Shih
, Phys. Rev. A
81
, 033845
(2010
).11.
R. S.
Aspden
, N. R.
Gemmell
, P. A.
Morris
, D. S.
Tasca
, L.
Mertens
, M. G.
Tanner
, R. A.
Kirkwood
, A.
Ruggeri
, A.
Tosi
, R. W.
Boyd
, G. S.
Buller
, R. H.
Hadfield
, and M. J.
Padgett
, Optica
2
, 1049
(2015
).12.
T. B.
Pittman
, D. V.
Strekalov
, D. N.
Klyshko
, M. H.
Rubin
, A. V.
Sergienko
, and Y. H.
Shih
, Phys. Rev. A
53
, 2804
(1996
).13.
P.
Xu
, H. Y.
Leng
, Z. H.
Zhu
, Y. F.
Bai
, H.
Jin
, Y. X.
Gong
, X. Q.
Yu
, Z. D.
Xie
, S. Y.
Mu
, and S. N.
Zhu
, Phys. Rev. A
86
, 013805
(2012
).14.
A. F.
Abouraddy
, B. E. A.
Saleh
, A. V.
Sergienko
, and M. C.
Teich
, Phys. Rev. Lett.
87
, 123602
(2001
).15.
Y.
Cai
and S.-Y.
Zhu
, Phys. Rev. E
71
, 056607
(2005
).16.
D.-Z.
Cao
, J.
Xiong
, and K.
Wang
, Phys. Rev. A
71
, 013801
(2005
).17.
R. S.
Bennink
, S. J.
Bentley
, and R. W.
Boyd
, Phys. Rev. Lett.
89
, 113601
(2002
).18.
A.
Gatti
, E.
Brambilla
, M.
Bache
, and L. A.
Lugiato
, Phys. Rev. A
70
, 013802
(2004
).19.
A.
Valencia
, G.
Scarcelli
, M.
D'Angelo
, and Y.
Shih
, Phys. Rev. Lett.
94
, 063601
(2005
).20.
G.
Scarcelli
, V.
Berardi
, and Y.
Shih
, Appl. Phys. Lett.
88
, 061106
(2006
).21.
X.-H.
Chen
, Q.
Liu
, K.-H.
Luo
, and L.-A.
Wu
, Opt. Lett.
34
, 695
(2009
).22.
M.
Young
, Appl. Opt.
10
, 2763
(1971
).23.
M.
Young
, Phys. Teach.
27
, 648
(1989
).24.
C.
Thomas
, G.
Rehm
, I.
Martin
, and R.
Bartolini
, Phys. Rev. Spec. Top. --Accel. Beams
13
, 022805
(2010
).25.
H. O.
Anger
, Nature
170
, 200
(1952
).26.
W.
Gong
, P.
Zhang
, X.
Shen
, and S.
Han
, Appl. Phys. Lett.
95
, 071110
(2009
).27.
An outline of the derivation of the biphoton quantum state can be found in the supplementary material. For a more detailed treatment see, e.g.,
J.
Schneeloch
and J. C.
Howell
, J. Opt.
18
, 053501
(2016
);S.
Walborn
, C.
Monken
, S.
Pádua
, and P. S.
Ribeiro
, Phys. Rep.
495
, 87
(2010
).28.
A. F.
Abouraddy
, B. E. A.
Saleh
, A. V.
Sergienko
, and M. C.
Teich
, J. Opt. Soc. Am. B
19
, 1174
(2002
).29.
M.
Born
, E.
Wolf
, A. B.
Bhatia
, P. C.
Clemmow
, D.
Gabor
, A. R.
Stokes
, A. M.
Taylor
, P. A.
Wayman
, and W. L.
Wilcock
, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light
, 7th ed. (Cambridge University Press
, 1999
).30.
K. W.
Chan
, J. P.
Torres
, and J. H.
Eberly
, Phys. Rev. A
75
, 050101
(2007
).31.
I.
Kviatkovsky
, H. M.
Chrzanowski
, E. G.
Avery
, H.
Bartolomaeus
, and S.
Ramelow
, “Microscopy with undetected photons in the mid-infrared
,” arXiv:2002.05960 [physics.optics] (2020
).32.
G. B.
Lemos
, V.
Borish
, G. D.
Cole
, S.
Ramelow
, R.
Lapkiewicz
, and A.
Zeilinger
, Nature
512
, 409
(2014
).33.
C.
Okoth
, A.
Cavanna
, T.
Santiago-Cruz
, and M. V.
Chekhova
, Phys. Rev. Lett.
123
, 263602
(2019
).© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.