Spatial Profile of the Squeezed Quantum Noise Generated

Spatial Profile of the Squeezed Quantum Noise Generated

Spatial Profile of the Squeezed Quantum Noise Generated and Modified by Resonant Atomic Ensembles Mi Zhang, Irina Novikova, Eugeniy E. Mikhailov College of William & Mary R. Nicholas Lanning, Jonathan P. Dowling Louisiana State Univ. Squeezed State Quantum Fluctuations in Light field: ( )=|| =|| ( ) +|| ( ) = 1+ 2

Coherent State Standard Quantum Limit Squeezed State Squeezed Quantum Noise Squeezed Vacuum State Squeezed State Squeezed Vacuum State

Polarization Self-Rotation A.B. Matsko et al., PRA 66, 043815 (2002): theoretically prediction of 4-6 dB noise suppression = + ( ) 2 Polarization Self-Rotation

A.B. Matsko et al., PRA 66, 043815 (2002): theoretically prediction of 4-6 dB noise suppression = + ( ) 2 Setup SMPM fiber - single-mode polarizationmaintaining fiber

/2 - half-wave plate GP - Glan-laser polarizer PBS - polarizing beam splitter PhR - phase-retarding wave plate BPD - balanced photodetector Development of Squeezing in atomic vapors Self-(de)focusing Expansion caused by Selfdefocusing is irrelevant to squeezing amount.

Mi Zhang, Joseph Soultanis, Irina Novikova, and Eugeniy E. Mikhailov, Optics Letters, Vol. 38, Issue 22, pp. 4833-4836 (2013) Spatial structure of beam after interaction C. F. McCormick, V. Boyer, E. Arimondo, and P. D. Lett, Optics Letters, Vol. 32, Issue 2, pp. 178-180 (2007) V. Boyer, A. M. Marino, and P. D. Lett, Phys. Rev. Lett. 100, 143601 (2008) Spatial Mask Sharp Edge Blocking beams from the

same sides is equivalent to modification before splitter. Beams blocked from opposite sides. Laguerre Gaussian modes Guoy Phase , has a shift across the focus

2 = ( ) ( ) (

|| ) 2 2 ||

1 2 ( ) ( 2 +

| | + 1 ) 2 2 ( ) 2( + )

[ ] [ ] l : azimuthal index p : radial index

L Allen, M.J Padgett, Optics Communications, Volume 184, Issues 14, 1 October 2000 [ ] Spatial Mask Ring Mask Spatial Mask Circular Mask Possible composition of beam Instead of sending in higher LG modes, we might be

generating them. Propagation function: Solution: 2 ^ = ( ) ( )

= 0 + 0 ( ) , Q : How Many Modes Should We Add? A : 5.

0 ( ) = ( , ) ( , ) Evolution of multimode beam Longer cell?

Fixed Iris Size Fixed Transmission Guoy Phase , has a shift across the focus Acknowledgment Quantum Optics at William&Mary (from left to right): Irina Novikova, Eugeniy Mikhailov, Ashna

Aggarwal, Kelly Roman, Owen Wolfe, Haley Bauser, Mi Zhang, Ellie Radue, Hunter Rew, Wenqing Zhao, Gleb Romanov, Matt Simons Jonathan P. Dowling R. Nicholas Lanning Conclusion We generated a squeezed vacuum state from polarization self-rotation. The squeezed vacuum state consists of high order

Laguerre Gaussian modes with different squeezing parameters.

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