Abstract

We present experimental results showing that quantum correlated light can be produced using non-degenerate, off-resonant, four-wave mixing (4WM) on both the D1 (795 nm) and D2 (780 nm) lines of 85Rb and 87Rb, extending earlier work on the D1 line of 85Rb. Using this 4WM process in a hot vapor cell to produce bright twin beams, we characterize the degree of intensity-difference noise reduction below the standard quantum limit for each of the four systems. Although each system approximates a double-lambda configuration, differences in details of the actual level structure lead to varying degrees of noise reduction. The observation of quantum correlations on light produced using all four of these systems, regardless of their substructure, suggests that it should be possible to use other systems with similar level structures in order to produce narrow frequency, non-classical beams at a particular wavelength.

© 2009 OSA

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    [CrossRef]

2009 (2)

A. M. Marino, R. C. Pooser, V. Boyer, and P. D. Lett, “Tunable delay of Einstein-Podolsky-Rosen entanglement,” Nature 457(7231), 859–862 (2009).
[CrossRef] [PubMed]

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

2008 (7)

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science 321(5888), 544–547 (2008).
[CrossRef] [PubMed]

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, “Strong low-frequency quantum correlations from a four-wave-mixing amplifier,” Phys. Rev. A 78(4), 043816 (2008).
[CrossRef]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

G. Hètet, B. C. Buchler, O. Glöeckl, M. T. L. Hsu, A. M. Akulshin, H. A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16(10), 7369–7381 (2008).
[CrossRef] [PubMed]

E. E. Mikhailov and I. Novikova, “Low-frequency vacuum squeezing via polarization self-rotation in Rb vapor,” Opt. Lett. 33(11), 1213–1215 (2008).
[CrossRef] [PubMed]

S. W. Du, J. M. Wen, and M. H. Rubin, “Narrowband biphoton generation near atomic resonance,” J. Opt. Soc. Am. B 25(12), C98 (2008).
[CrossRef]

2007 (2)

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

2006 (1)

2005 (2)

2004 (3)

P. D. Lett, “Correlated photons for correlated atoms,” J. Mod. Opt. 51, 1817 (2004).

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

2002 (2)

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

M. Stähler, R. Wynands, S. Knappe, J. Kitching, L. Hollberg, A. Taichenachev, and V. Yudin, “Coherent population trapping resonances in thermal 85Rb vapor: D1 versus D2 line excitation,” Opt. Lett. 27(16), 1472–1474 (2002).
[CrossRef]

1999 (1)

M. D. Lukin, A. B. Matsko, Fleischhauer, and M. O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82(9), 1847–1850 (1999).
[CrossRef]

1998 (2)

M. S. Shahriar and P. R. Hemmer, “Generation of squeezed states and twin beams via non-degenerate four-wave mixing in a Λ system,” Opt. Commun. 158(1-6), 273–286 (1998).
[CrossRef]

M. D. Lukin, P. R. Hemmer, M. Löffler, and M. O. Scully, “Resonant enhancement of parametric processes via radiative interference and induced coherence,” Phys. Rev. Lett. 81(13), 2675–2678 (1998).
[CrossRef]

1997 (1)

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, "Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line," Phys. Rev. A 55(5), 3710-;3718 (1997).
[CrossRef]

1996 (1)

A. Lambrecht, T. Coudreau, A. M. Steinberg, and E. Giacobino, “Squeezing with cold atoms,” Europhys. Lett. 36(2), 93–98 (1996).
[CrossRef]

1985 (1)

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

1982 (1)

C. M. Caves, “Quantum Limits on Noise in Linear-Amplifiers,” Phys. Rev. D Part. Fields 26(8), 1817–1839 (1982).
[CrossRef]

Akamatsu, D.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Akiba, K.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Akulshin, A. M.

Arikawa, M.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Arimondo, E.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, "Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line," Phys. Rev. A 55(5), 3710-;3718 (1997).
[CrossRef]

Bachor, H. A.

G. Hètet, B. C. Buchler, O. Glöeckl, M. T. L. Hsu, A. M. Akulshin, H. A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16(10), 7369–7381 (2008).
[CrossRef] [PubMed]

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Balic, V.

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

Boyer, V.

A. M. Marino, R. C. Pooser, V. Boyer, and P. D. Lett, “Tunable delay of Einstein-Podolsky-Rosen entanglement,” Nature 457(7231), 859–862 (2009).
[CrossRef] [PubMed]

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, “Strong low-frequency quantum correlations from a four-wave-mixing amplifier,” Phys. Rev. A 78(4), 043816 (2008).
[CrossRef]

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science 321(5888), 544–547 (2008).
[CrossRef] [PubMed]

Braje, D. A.

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

Buchler, B. C.

G. Hètet, B. C. Buchler, O. Glöeckl, M. T. L. Hsu, A. M. Akulshin, H. A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16(10), 7369–7381 (2008).
[CrossRef] [PubMed]

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Caves, C. M.

C. M. Caves, “Quantum Limits on Noise in Linear-Amplifiers,” Phys. Rev. D Part. Fields 26(8), 1817–1839 (1982).
[CrossRef]

Chelkowski, S.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Cirac, J. I.

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

Coudreau, T.

Danzmann, K.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Du, S. W.

Fabre, C.

Fiurásek, J.

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

Fleischhauer,

M. D. Lukin, A. B. Matsko, Fleischhauer, and M. O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82(9), 1847–1850 (1999).
[CrossRef]

Franzen, A.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Furusawa, A.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Giacobino, E.

A. Lambrecht, T. Coudreau, A. M. Steinberg, and E. Giacobino, “Squeezing with cold atoms,” Europhys. Lett. 36(2), 93–98 (1996).
[CrossRef]

Glockl, O.

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Glöeckl, O.

Goda, S.

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

Gorshkov, A. V.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

Goßler, S.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Hage, B.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Haine, S. A.

S. A. Haine and J. J. Hope, “Outcoupling from a Bose-Einstein condensate with squeezed light to produce entangled-atom laser beams,” Phys. Rev. A 72(3), 033601 (2005).
[CrossRef]

Harb, C. C.

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Harris, S. E.

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

Hemmer, P. R.

M. S. Shahriar and P. R. Hemmer, “Generation of squeezed states and twin beams via non-degenerate four-wave mixing in a Λ system,” Opt. Commun. 158(1-6), 273–286 (1998).
[CrossRef]

M. D. Lukin, P. R. Hemmer, M. Löffler, and M. O. Scully, “Resonant enhancement of parametric processes via radiative interference and induced coherence,” Phys. Rev. Lett. 81(13), 2675–2678 (1998).
[CrossRef]

Hétet, G.

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Hètet, G.

Hollberg, L.

Hollberg, L. W.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

Honda, K.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Hope, J. J.

S. A. Haine and J. J. Hope, “Outcoupling from a Bose-Einstein condensate with squeezed light to produce entangled-atom laser beams,” Phys. Rev. A 72(3), 033601 (2005).
[CrossRef]

Hsu, M. T. L.

Jones, K. M.

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

Julsgaard, B.

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

Kitching, J.

Knappe, S.

Kozuma, M.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Lam, P. K.

G. Hètet, B. C. Buchler, O. Glöeckl, M. T. L. Hsu, A. M. Akulshin, H. A. Bachor, and P. K. Lam, “Delay of squeezing and entanglement using electromagnetically induced transparency in a vapour cell,” Opt. Express 16(10), 7369–7381 (2008).
[CrossRef] [PubMed]

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Lambrecht, A.

A. Lambrecht, T. Coudreau, A. M. Steinberg, and E. Giacobino, “Squeezing with cold atoms,” Europhys. Lett. 36(2), 93–98 (1996).
[CrossRef]

Lastzka, N.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Laurat, J.

Lett, P. D.

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

A. M. Marino, R. C. Pooser, V. Boyer, and P. D. Lett, “Tunable delay of Einstein-Podolsky-Rosen entanglement,” Nature 457(7231), 859–862 (2009).
[CrossRef] [PubMed]

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science 321(5888), 544–547 (2008).
[CrossRef] [PubMed]

C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, “Strong low-frequency quantum correlations from a four-wave-mixing amplifier,” Phys. Rev. A 78(4), 043816 (2008).
[CrossRef]

P. D. Lett, “Correlated photons for correlated atoms,” J. Mod. Opt. 51, 1817 (2004).

Löffler, M.

M. D. Lukin, P. R. Hemmer, M. Löffler, and M. O. Scully, “Resonant enhancement of parametric processes via radiative interference and induced coherence,” Phys. Rev. Lett. 81(13), 2675–2678 (1998).
[CrossRef]

Longchambon, L.

Lukin, M. D.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

M. D. Lukin, A. B. Matsko, Fleischhauer, and M. O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82(9), 1847–1850 (1999).
[CrossRef]

M. D. Lukin, P. R. Hemmer, M. Löffler, and M. O. Scully, “Resonant enhancement of parametric processes via radiative interference and induced coherence,” Phys. Rev. Lett. 81(13), 2675–2678 (1998).
[CrossRef]

Maichen, W.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, "Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line," Phys. Rev. A 55(5), 3710-;3718 (1997).
[CrossRef]

Marino, A. M.

A. M. Marino, R. C. Pooser, V. Boyer, and P. D. Lett, “Tunable delay of Einstein-Podolsky-Rosen entanglement,” Nature 457(7231), 859–862 (2009).
[CrossRef] [PubMed]

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, “Strong low-frequency quantum correlations from a four-wave-mixing amplifier,” Phys. Rev. A 78(4), 043816 (2008).
[CrossRef]

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science 321(5888), 544–547 (2008).
[CrossRef] [PubMed]

Matsko, A. B.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

M. D. Lukin, A. B. Matsko, Fleischhauer, and M. O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82(9), 1847–1850 (1999).
[CrossRef]

McCormick, C. F.

C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, “Strong low-frequency quantum correlations from a four-wave-mixing amplifier,” Phys. Rev. A 78(4), 043816 (2008).
[CrossRef]

Mehmet, M.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Mertz, J. C.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

Mikhailov, E. E.

Nagatsuka, S.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Novikova, I.

Phillips, D. F.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

I. Novikova, D. F. Phillips, A. S. Zibrov, R. L. Walsworth, A. V. Taichenachev, and V. I. Yudin, “ Comparison of 87Rb N-resonances for D1 and D2 transitions,” Opt. Lett. 31(15), 2353 (2006).
[CrossRef] [PubMed]

Pilypas, K. A.

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Polzik, E. S.

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

Pooser, R. C.

A. M. Marino, R. C. Pooser, V. Boyer, and P. D. Lett, “Tunable delay of Einstein-Podolsky-Rosen entanglement,” Nature 457(7231), 859–862 (2009).
[CrossRef] [PubMed]

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science 321(5888), 544–547 (2008).
[CrossRef] [PubMed]

Renzoni, F.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, "Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line," Phys. Rev. A 55(5), 3710-;3718 (1997).
[CrossRef]

Rostovtsev, Y. V.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

Rubin, M. H.

Schnabel, R.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Scully, M. O.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

M. D. Lukin, A. B. Matsko, Fleischhauer, and M. O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82(9), 1847–1850 (1999).
[CrossRef]

M. D. Lukin, P. R. Hemmer, M. Löffler, and M. O. Scully, “Resonant enhancement of parametric processes via radiative interference and induced coherence,” Phys. Rev. Lett. 81(13), 2675–2678 (1998).
[CrossRef]

Shahriar, M. S.

M. S. Shahriar and P. R. Hemmer, “Generation of squeezed states and twin beams via non-degenerate four-wave mixing in a Λ system,” Opt. Commun. 158(1-6), 273–286 (1998).
[CrossRef]

Sherson, J.

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

Slusher, R. E.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

Sørensen, A. S.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

Stähler, M.

Steinberg, A. M.

A. Lambrecht, T. Coudreau, A. M. Steinberg, and E. Giacobino, “Squeezing with cold atoms,” Europhys. Lett. 36(2), 93–98 (1996).
[CrossRef]

Taichenachev, A.

Taichenachev, A. V.

Tanimura, T.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Vahlbruch, H.

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

Valley, J. F.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

Walsworth, R. L.

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

I. Novikova, D. F. Phillips, A. S. Zibrov, R. L. Walsworth, A. V. Taichenachev, and V. I. Yudin, “ Comparison of 87Rb N-resonances for D1 and D2 transitions,” Opt. Lett. 31(15), 2353 (2006).
[CrossRef] [PubMed]

Wen, J. M.

Windholz, L.

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, "Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line," Phys. Rev. A 55(5), 3710-;3718 (1997).
[CrossRef]

Wynands, R.

Ye, C. Y.

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

Yin, G. Y.

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

Yokoi, Y.

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

Yudin, V.

Yudin, V. I.

Yurke, B.

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

Zibrov, A. S.

I. Novikova, D. F. Phillips, A. S. Zibrov, R. L. Walsworth, A. V. Taichenachev, and V. I. Yudin, “ Comparison of 87Rb N-resonances for D1 and D2 transitions,” Opt. Lett. 31(15), 2353 (2006).
[CrossRef] [PubMed]

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

Europhys. Lett. (1)

A. Lambrecht, T. Coudreau, A. M. Steinberg, and E. Giacobino, “Squeezing with cold atoms,” Europhys. Lett. 36(2), 93–98 (1996).
[CrossRef]

J. Mod. Opt. (1)

P. D. Lett, “Correlated photons for correlated atoms,” J. Mod. Opt. 51, 1817 (2004).

J. Opt. Soc. Am. B (1)

J. Phys. B (1)

G. Hétet, O. Glockl, K. A. Pilypas, C. C. Harb, B. C. Buchler, H. A. Bachor, and P. K. Lam, “Squeezed light for bandwidth-limited atom optics experiments at the rubidium D1 line,” J. Phys. B 40(1), 221–226 (2007).
[CrossRef]

Nature (2)

A. M. Marino, R. C. Pooser, V. Boyer, and P. D. Lett, “Tunable delay of Einstein-Podolsky-Rosen entanglement,” Nature 457(7231), 859–862 (2009).
[CrossRef] [PubMed]

B. Julsgaard, J. Sherson, J. I. Cirac, J. Fiurásek, and E. S. Polzik, “Experimental demonstration of quantum memory for light,” Nature 432(7016), 482–486 (2004).
[CrossRef] [PubMed]

Opt. Commun. (1)

M. S. Shahriar and P. R. Hemmer, “Generation of squeezed states and twin beams via non-degenerate four-wave mixing in a Λ system,” Opt. Commun. 158(1-6), 273–286 (1998).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Phys. Rev. A (4)

F. Renzoni, W. Maichen, L. Windholz, and E. Arimondo, "Coherent population trapping with losses observed on the Hanle effect of the D1 sodium line," Phys. Rev. A 55(5), 3710-;3718 (1997).
[CrossRef]

A. S. Zibrov, C. Y. Ye, Y. V. Rostovtsev, A. B. Matsko, and M. O. Scully, “Observation of a three-photon electromagnetically induced transparency in hot atomic vapor,” Phys. Rev. A 65(4), 043817 (2002).
[CrossRef]

C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, “Strong low-frequency quantum correlations from a four-wave-mixing amplifier,” Phys. Rev. A 78(4), 043816 (2008).
[CrossRef]

S. A. Haine and J. J. Hope, “Outcoupling from a Bose-Einstein condensate with squeezed light to produce entangled-atom laser beams,” Phys. Rev. A 72(3), 033601 (2005).
[CrossRef]

Phys. Rev. D Part. Fields (1)

C. M. Caves, “Quantum Limits on Noise in Linear-Amplifiers,” Phys. Rev. D Part. Fields 26(8), 1817–1839 (1982).
[CrossRef]

Phys. Rev. Lett. (8)

R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, “Observation of squeezed states generated by four-wave mixing in an optical cavity,” Phys. Rev. Lett. 55(22), 2409–2412 (1985).
[CrossRef] [PubMed]

H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, “Observation of squeezed light with 10-dB quantum-noise reduction,” Phys. Rev. Lett. 100(3), 033602 (2008).
[CrossRef] [PubMed]

I. Novikova, A. V. Gorshkov, D. F. Phillips, A. S. Sørensen, M. D. Lukin, and R. L. Walsworth, “Optimal control of light pulse storage and retrieval,” Phys. Rev. Lett. 98(24), 243602 (2007).
[CrossRef] [PubMed]

K. Honda, D. Akamatsu, M. Arikawa, Y. Yokoi, K. Akiba, S. Nagatsuka, T. Tanimura, A. Furusawa, and M. Kozuma, “Storage and retrieval of a squeezed vacuum,” Phys. Rev. Lett. 100(9), 093601 (2008).
[CrossRef] [PubMed]

D. A. Braje, V. Balić, S. Goda, G. Y. Yin, and S. E. Harris, “Frequency mixing using electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 93(18), 183601 (2004).
[CrossRef] [PubMed]

M. D. Lukin, P. R. Hemmer, M. Löffler, and M. O. Scully, “Resonant enhancement of parametric processes via radiative interference and induced coherence,” Phys. Rev. Lett. 81(13), 2675–2678 (1998).
[CrossRef]

M. D. Lukin, A. B. Matsko, Fleischhauer, and M. O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82(9), 1847–1850 (1999).
[CrossRef]

R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, “Low-noise amplification of a continuous-variable quantum state,” Phys. Rev. Lett. 103(1), 010501 (2009).
[CrossRef] [PubMed]

Science (1)

V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, “Entangled images from four-wave mixing,” Science 321(5888), 544–547 (2008).
[CrossRef] [PubMed]

Other (2)

D. A. Steck, "Rubidium 85 D line data," http://steck.us/alkalidata (revision 0.2 1 September 2008); D. A. Steck, "Rubidium 87 D line data," http://steck.us/alkalidata (revision 2.1, 1 September 2008).

M. D. Lukin, P. R. Hemmer, and M.O. Scully, "Resonant nonlinear optics in phase coherent media," in Advances in Atomic, Molecular, and Optical Physics 42, Elsevier (1999).

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Figures (5)

Fig. 1
Fig. 1

Left: Energy level diagram showing the double-lambda system. Δ: pump detuning from resonance; νHF : hyperfine splitting in the ground state. Right: Experimental setup. SA: spectrum analyzer; Pr: probe; P: pump; C: conjugate.

Fig. 2
Fig. 2

Observed squeezing levels for the D1 (circles) and D2 (triangles) lines in 85Rb and 87Rb as a function of pump detuning. The two-photon detuning, δ, was held fixed in each of the four scans. For 85Rb the pump power was 400 mW; for 87Rb 700 mW.

Fig. 3
Fig. 3

The gain (G; blue diamonds) and probe transmission (T; green squares) inferred from the measured probe and conjugate powers using the extended ideal amplifier model, along with the measured squeezing (red dots), which was previously shown in Fig. 2. The grey band is the calculated squeezing from the model assuming a detection efficiency of 0.90(3). The width of the band reflects the uncertainty in the detection efficiency. That the model does not work well for either of the D2 lines shows that, in addition to 4WM, there are other processes operating which add noise.

Fig. 4
Fig. 4

Transmission spectrum of the probe at the D1 line in 87Rb as a function of frequency. The absorption dips of 87Rb and 85Rb are labeled. The pump frequency is held constant, marked by the dotted (green) line. When the pump and probe frequency difference is ≈6.8 GHz, 4WM gain is observed. The dashed (blue) curve shows a curve fit of the 87Rb absorption dip in the absence of 85Rb. It shows, qualitatively, that the absorption of the probe is mostly due to residual 85Rb in the vapor cell. For this scan the cell temperature was raised to ≈130 °C.

Fig. 5
Fig. 5

The hyperfine levels in the 85Rb (left) and 87Rb (right) involved in the D1 and D2 transitions, labeled with their F values. From [25].

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