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Engineered optical nonlinearity for quantum light sourcesAgata M. Brańczyk, Alessandro Fedrizzi, Thomas M. Stace, Tim C. Ralph, and Andrew G. White »View Author Affiliations
Agata M. Brańczyk,1,*
Alessandro Fedrizzi,1
Thomas M. Stace,2
Tim C. Ralph,1
and Andrew G. White1
1Center for Quantum Computer Technology, Department of Physics, The University of Queensland, QLD 4072, Australia 2Department of Physics, The University of Queensland, QLD 4072, Australia *Corresponding author: abranczyk@gmail.com |
Optics Express, Vol. 19, Issue 1, pp. 55-65 (2011)
http://dx.doi.org/10.1364/OE.19.000055
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Abstract
Many applications in optical quantum information processing benefit from careful spectral shaping of single-photon wave-packets. In this paper we tailor the joint spectral wave-function of photons created in parametric downconversion by engineering the nonlinearity profile of a poled crystal. We design a crystal with an approximately Gaussian nonlinearity profile and confirm successful wave-packet shaping by two-photon interference experiments. We numerically show how our method can be applied for attaining one of the currently most important goals of single-photon quantum optics, the creation of pure single photons without spectral correlations.
© 2011 Optical Society of America
OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(270.5585) Quantum optics : Quantum information and processing
ToC Category:
Quantum Optics
History
Original Manuscript: November 12, 2010
Revised Manuscript: December 9, 2010
Manuscript Accepted: December 9, 2010
Published: December 20, 2010
Citation
Agata M. Brańczyk, Alessandro Fedrizzi, Thomas M. Stace, Tim C. Ralph, and Andrew G. White, "Engineered optical nonlinearity for quantum light sources," Opt. Express 19, 55-65 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-1-55
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References
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- The crystal was custom-made by Raicol Crystals Ltd., www.raicol.com.
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- A. B . U’Ren, Y . Jeronimo-Moreno, and H . Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (2007). [CrossRef]
- O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008). [CrossRef] [PubMed]
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- K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009). [CrossRef]
- A. Fedrizzi, T. Herbst, M . Aspelmeyer, M . Barbieri, T. Jennewein, and A . Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New J. Phys. 11, 103,052 (2009). [CrossRef]
- A. B . U’Ren,C . Silberhorn, K . Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Phys. 15, 146–161 (2005).
- M. G. Raymer, J. Noh, K. Banaszek, and I. A. Walmsley, “Pure-state single-photon wave-packet generation by parametric down-conversion in a distributed microcavity,” Phys. Rev. A 72(2), 023,825 (2005). [CrossRef]
- A. Fedrizzi, T. Herbst, M . Aspelmeyer, M . Barbieri, T. Jennewein, and A . Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New J. Phys. 11, 103,052 (2009). [CrossRef]
- B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberglimited phase estimation,” Nature 450(7168), 393–396 (2007). [CrossRef]
- B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberglimited phase estimation,” Nature 450(7168), 393–396 (2007). [CrossRef]
- A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000). [CrossRef] [PubMed]
- M. A. Branczyk, T. C. Ralph, W . Helwig, and C . Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New J. Phys. 12, 063,001 (2010). [CrossRef]
- A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000). [CrossRef] [PubMed]
- G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nat. Photonics 4(4), 227–230 (2010). [CrossRef]
- M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992). [CrossRef]
- M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).
- L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H . Cecena-Alvarez, A . Peimbert-Torres, R . Gomez-Gonzalez, et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010). [CrossRef]
- A. Valencia, A. Cere, X. Shi, G. Molina-Terriza, and J. P. Torres, “Shaping theWaveform of Entangled Photons,” Phys. Rev. Lett. 99(24), 243,601 (2007). [CrossRef]
- K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007). [CrossRef]
- M. Corona and A. B . U’Ren, “Parametric down-conversion with optimized spectral properties in nonlinear photonic crystals,” Phys. Rev. A 76(4), 043829 (2007). [CrossRef]
- L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H . Cecena-Alvarez, A . Peimbert-Torres, R . Gomez-Gonzalez, et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010). [CrossRef]
- A. B . U’Ren, R. K . Erdmann, M . de la Cruz-Gutierrez, and I. A . Walmsley, “Generation of Two-Photon States with an Arbitrary Degree of Entanglement Via Nonlinear Crystal Superlattices,” Phys. Rev. Lett. 97(22), 223,602 (2006). [CrossRef]
- P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79(1), 135 (2007). [CrossRef]
- A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000). [CrossRef] [PubMed]
- A. Christ, A. Eckstein, P. J. Mosley, and C. Silberhorn, “Pure single photon generation by type-IPDC with backward-wave amplification,” Opt. Express 17(5), 3441–3446 (2009). [CrossRef] [PubMed]
- A. Eckstein, and C. Silberhorn, “Broadband frequency mode entanglement in waveguided parametric down conversion,” Opt. Lett. 33(16), 1825–1827 (2008). [CrossRef] [PubMed]
- L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H . Cecena-Alvarez, A . Peimbert-Torres, R . Gomez-Gonzalez, et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010). [CrossRef]
- A. B . U’Ren,C . Silberhorn, K . Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Phys. 15, 146–161 (2005).
- A. B . U’Ren, R. K . Erdmann, M . de la Cruz-Gutierrez, and I. A . Walmsley, “Generation of Two-Photon States with an Arbitrary Degree of Entanglement Via Nonlinear Crystal Superlattices,” Phys. Rev. Lett. 97(22), 223,602 (2006). [CrossRef]
- S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009). [CrossRef]
- A. Fedrizzi, T. Herbst, M . Aspelmeyer, M . Barbieri, T. Jennewein, and A . Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New J. Phys. 11, 103,052 (2009). [CrossRef]
- A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007). [CrossRef] [PubMed]
- M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).
- G. Imeshev, M. Fejer, A. Galvanauskas, and D. Harter, “Pulse shaping by difference-frequency mixing with quasi-phase-matching gratings,” J. Opt. Soc. Am. B 18(4), 534–539 (2001). [CrossRef]
- M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992). [CrossRef]
- T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006). [CrossRef]
- K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007). [CrossRef]
- A. B . U’Ren, Y . Jeronimo-Moreno, and H . Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (2007). [CrossRef]
- G. Brida, M. Genovese, and I. Ruo Berchera, “Experimental realization of sub-shot-noise quantum imaging,” Nat. Photonics 4(4), 227–230 (2010). [CrossRef]
- K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009). [CrossRef]
- N. Gisin, and R. Thew, “Quantum communication,” Nat. Photonics 1(3), 165–171 (2007). [CrossRef]
- L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H . Cecena-Alvarez, A . Peimbert-Torres, R . Gomez-Gonzalez, et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010). [CrossRef]
- A. B . U’Ren,C . Silberhorn, K . Banaszek, I. A. Walmsley, R. Erdmann, W. P. Grice, and M. G. Raymer, “Generation of Pure-State Single-Photon Wavepackets by Conditional Preparation Based on Spontaneous Parametric Downconversion,” Laser Phys. 15, 146–161 (2005).
- Y.-H. Kim and W. P. Grice, “Generation of pulsed polarization-entangled two-photon state via temporal and spectral engineering,” J. Mod. Opt. 49(14–15), 2309–2323 (2002). [CrossRef]
- W. P. Grice, A. B. U’Ren, and I. A. Walmsley, “Eliminating frequency and space-time correlations in multiphoton states,” Phys. Rev. A64(6), 063,815 (2001). [CrossRef]
- W. P. Grice, and I. A. Walmsley, “Spectral information and distinguishability in type-II down-conversion with a broadband pump,” Phys. Rev. A 56(2), 1627–1634 (1997). [CrossRef]
- M. A. Branczyk, T. C. Ralph, W . Helwig, and C . Silberhorn, “Optimised generation of heralded Fock states using parametric down conversion,” New J. Phys. 12, 063,001 (2010). [CrossRef]
- A. Fedrizzi, T. Herbst, M . Aspelmeyer, M . Barbieri, T. Jennewein, and A . Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New J. Phys. 11, 103,052 (2009). [CrossRef]
- A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007). [CrossRef] [PubMed]
- B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, “Entanglement-free Heisenberglimited phase estimation,” Nature 450(7168), 393–396 (2007). [CrossRef]
- C. Hong, Z. Ou, and L. Mandel, “Measurement of Subpicosecond Time Intervals between Two Photons by Interference,” Phys. Rev. Lett. 59(18), 2044–2046 (1987). [CrossRef] [PubMed]
- M. Nasr, S. Carrasco, B. Saleh, A. Sergienko, M. Teich, J. Torres, L. Torner, D. Hum, and M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100(18), 183,601 (2008).
- L. Olislager, J. Cussey, A. Nguyen, P. Emplit, S. Massar, J. Merolla, K. Huy, H . Cecena-Alvarez, A . Peimbert-Torres, R . Gomez-Gonzalez, et al., “Frequency-bin entangled photons,” Phys. Rev. A 82(1), 13,804 (2010). [CrossRef]
- A. Fedrizzi, T. Herbst, M . Aspelmeyer, M . Barbieri, T. Jennewein, and A . Zeilinger, “Anti-symmetrization reveals hidden entanglement,” New J. Phys. 11, 103,052 (2009). [CrossRef]
- A. Fedrizzi, T. Herbst, A. Poppe, T. Jennewein, and A. Zeilinger, “A wavelength-tunable fiber-coupled source of narrowband entangled photons,” Opt. Express 15(23), 15377–15386 (2007). [CrossRef] [PubMed]
- A. B . U’Ren, Y . Jeronimo-Moreno, and H . Garcia-Gracia, “Generation of Fourier-transform-limited heralded single photons,” Phys. Rev. A 75(2), 023810 (2007). [CrossRef]
- M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992). [CrossRef]
- T. Kim, M. Fiorentino, and F. N. C. Wong, “Phase-stable source of polarization-entangled photons using a polarization Sagnac interferometer,” Phys. Rev. A 73(1), 12,316 (2006). [CrossRef]
- Y.-H. Kim and W. P. Grice, “Generation of pulsed polarization-entangled two-photon state via temporal and spectral engineering,” J. Mod. Opt. 49(14–15), 2309–2323 (2002). [CrossRef]
- M. H. Rubin, D. N. Klyshko, Y. H. Shih, and A. V. Sergienko, “Theory of two-photon entanglement in type-II optical parametric down-conversion,” Phys. Rev. A 50(6), 5122–5133 (1994). [CrossRef] [PubMed]
- P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, “Linear optical quantum computing with photonic qubits,” Rev. Mod. Phys. 79(1), 135 (2007). [CrossRef]
- A. N. Boto, P. Kok, D. S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, “Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,” Phys. Rev. Lett. 85(13), 2733–2736 (2000). [CrossRef] [PubMed]
- O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008). [CrossRef] [PubMed]
- O. Kuzucu, F. N. C. Wong, S. Kurimura, and S. Tovstonog, “Joint Temporal Density Measurements for Two-Photon State Characterization,” Phys. Rev. Lett. 101(15), 153602 (2008). [CrossRef] [PubMed]
- S. Ramelow, L. Ratschbacher, A. Fedrizzi, N. K. Langford, and A. Zeilinger, “Discrete tunable color entanglement,” Phys. Rev. Lett. 103(25), 253601 (2009). [CrossRef]
- K. Thyagarajan, J. Lugani, S. Ghosh, K. Sinha, A. Martin, D. B. Ostrowsky, O. Alibart, and S. Tanzilli, “Generation of polarization-entangled photons using type-II doubly periodically poled lithium niobate waveguides,” Phys. Rev. A 80, 052321 (2009). [CrossRef]
- P. J. Mosley, J. S. Lundeen, B. J. Smith, and P. Wasylczyk, A. B . U’Ren, C . Silberhorn, and I. A . Walmsley, “Heralded Generation of Ultrafast Single Photons in Pure Quantum States,” Phys. Rev. Lett. 100(13), 133601 (2008). [CrossRef] [PubMed]
- K. Garay-Palmett, H. J. McGuinness, O. Cohen, J. S. Lundeen, R. Rangel-Rojo, A. B. U’ren, M. G. Raymer, C. J. McKinstrie, S. Radic, and I. A. Walmsley, “Photon pair-state preparation with tailored spectral properties by spontaneous four-wave mixing in photonic-crystal fiber,” Opt. Express 15(22), 14,870–14,886 (2007). [CrossRef]
- M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-Phase-Matched Second Harmonic Generation: Tuning and Tolerances,” IEEE J. Quantum Electron. QE-28, 2631–2654 (1992). [CrossRef]
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IEEE J. Quantum Electron.
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Laser Phys.
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Nat. Photonics
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Nature
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New J. Phys
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Opt. Express
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Opt. Lett.
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- The crystal was custom-made by Raicol Crystals Ltd., www.raicol.com.
2010, Brida, Nat. Photonics
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