Abstract
From the explicit form of the probability amplitude for two cascade-placed beam splitters (with one squeezed state input and two coherent state inputs), we calculated the probability amplitude of the output beam as a function of the transmittance of the two beam splitters and the amplitude and the relative phase of the three input states. At a certain condition, the output beam had no vacuum and was in a highly nonclassical state that contained more than one photon. Armed with explicit probability amplitude for two beam splitters and two coherent states, the squeezed vacuum state might be a very useful tool for generating highly nonclassical light.
Similar content being viewed by others
References
M. S. Kim, J. Phys. B: At. Mol. Opt. Phys. 41, 133001 (2008).
F. Dell’Anno, S. De Siena and F. Illuminati, Phys. Rep. 428, 53 (2006).
B. Yurke, Phys. Rev. Lett. 56, 1515 (1986).
J. P. Dowling, Phys. Rev. A 57, 4736 (1998).
A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams and J. P. Dowling, Phys. Rev. Lett. 85, 2733 (2000).
G. Bjork, L. L. Sanchez-Soto and J. Soderholm, Phys. Rev. Lett. 86, 4516 (2001).
S. Wang, H.-Y. Fan and L.-Y. Hu, J. Opt. Soc. Am. B 29, 1020 (2012).
K. J. Resch, J. S. Lundeen and A. M. Steinberg, Phys. Rev. Lett. 88, 113601 (2002).
A. I. Lvovsky, H. Hansen, T. Aichele, O. Benson, J. Mlynek and S. Schiller, Phys. Rev. Lett. 87, 050402 (2001).
A. Ourjoumtsev, R. Tualle-Brouri and P. Grangier, Phys. Rev. Lett. 96, 213601 (2006).
A. I. Lvovsky and S. A. Babichev, Phys. Rev. A 66, 011801 (2002).
A. Zavatta, S. Viciani and M. Bellini, Science 306, 660 (2004).
E. Bimbard, N. Jain, A. MacRae and A. I. Lvovsky, Nature Photonics 4, 243 (2010).
M. Dakna, T. Anhut, T. Opatrny, L. Kno and D. Welsch Phys. Rev. A. 55, 3184 (1997).
J. Fiurasek, R. C. Patron and N. J. Cerf, Phys. Rev. A 72, 033822 (2005).
A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat and P. Grangier, Science 312, 83 (2006).
J. S. N. Nielsen, B. M. Nielsen, C. Hettich, K. Molmer and E. S. Polzik, Phys. Rev. Lett. 97, 083604 (2006).
K. Wakui, H. Takahashi, A. Furusawa and M. Sasaki, Opt, Exp. 15, 3568 (2007).
A. I. Lvovsky and J. Mylnek, Phys. Rev. Lett. 88, 250401 (2002).
T. Gerrits, S. Glancy, T. S. Clement, B. Calkins, A. E. Lita, A. J. Miller, A. L. Migdall, S. W. Nam, R. P. Mirin and E. Knill, Phys. Rev. A 82, 031802 (2010).
J. Wenger, R. T. Brouri and P. Grangier, Phys. Rev. Lett. 92, 153601 (2004).
G. Li, S. Wu and G. Huang, Phys. Lett. A 303, 11 (2002).
R. A. Campos, B. E. A. Saleh and M. C. Teich, Phys. Rev. A. 40, 1371 (1989).
R. Loudon, The Quantum Theory of Light 3rd ed. (Oxford Univ. Press, New York, 2000).
M. S. Kim, W. Son, V. Buzek and P. L. Knight, Phys. Rev. A 65, 032323 (2002).
M. Dakna, T. Anhut, T. Opatrn, L. Kn ll and D.-G. Welsch, Phys. Rev. A 55, 3184 (1997).
S. Y. Lee and H. Nha, Phys. Rev. A, 82, 053812 (2010).
E. Bimbard, N. Jain, A. MacRae and A. I. Lvovsky, Nature Photonics 4, 243 (2010).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Youn, SH. Engineering vacuum-evacuated photonic states with three input beams and two detectors. Journal of the Korean Physical Society 63, 1559–1565 (2013). https://doi.org/10.3938/jkps.63.1559
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.63.1559