Abstract

We analyze a nitrogen-vacancy (NV-) colour centre based single photon source based on cavity Purcell enhancement of the zero phonon line and suppression of other transitions. Optimal performance conditions of the cavity-centre system are analyzed using Master equation and quantum trajectory methods. By coupling the centre strongly to a high-finesse optical cavity [Q~𝒪(104-105), V3] and using sub-picosecond optical excitation the system has striking performance, including effective lifetime of 70 ps, linewidth of 0.01 nm, near unit single photon emission probability and small [𝒪(10-5)] multi-photon probability.

© 2008 Optical Society of America

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2007 (11)

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, "Linear optical quantum computing," Rev. Mod. Phys. 79, 135-174 (2007).
[CrossRef]

M. Hijlkema, B. Weber, H. P. Specht, S. C. Webster, A. Kuhn, and G. Rempe, "A single-photon server with just one atom," Nat. Phys. 3, 253-255 (2007).
[CrossRef]

E. Wu, J. R. Rabeau, G. Roger, F. Treussart, H. Zeng, P. Grangier, S. Prawer, and J.-F. Roch, "Room temperature triggered single-photon source in the near infrared," New J. Phys. 9, 434 (2007).
[CrossRef]

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atature, S. Gulde, S. Falt, E. L. Hu, and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature (London) 445, 896-899 (2007).
[CrossRef] [PubMed]

A. J. Shields, "Semiconductor quantum light sources," Nat. Photonics 1, 215-223 (2007).
[CrossRef]

J. R. Rabeau, A. Stacey, A. Rabeau, F. Jelezko, I. Mirza, J. Wrachtrup, and S. Prawer, "Single nitrogen vacancy centers in chemical vapor deposited diamond nanocrystals," Nano Lett. 7, 3433-3437 (2007).
[CrossRef] [PubMed]

V. Jacques, E. Wu, F. Grosshans, F. Treussart, P. Grangier, A. Aspect, and J.-F. Roch, "Experimental realization of Wheeler??s delayed-choice gedanken experiment," Science 315, 966-968 (2007).
[CrossRef] [PubMed]

S. Noda, M. Fujita, and T. Asano, "Spontaneous-emission control by photonic crystals and nanocavities," Nat. Photonics 1, 449-458 (2007).
[CrossRef]

I. Bayn and J. Salzman, "High-Q photonic crystal nanocavities on diamond for quantum electrodynamics," Eur. Phys. J. Appl. Phys. 37, 19-24 (2007).
[CrossRef]

C. F. Wang, R. Hanson, D. D. Awschalom, E. L. Hu, T. Feygelson, J. Yang, and J. E. Butler, "Fabrication and characterization of two-dimensional photonic crystal microcavities in nanocrystalline diamond," Appl. Phys. Lett. 91, 201112 (2007).
[CrossRef]

M. J. Fernee, H. Rubinsztein-Dunlop, and G. J. Milburn, "Improving single-photon sources with Stark tuning," Phys. Rev. A 75, 043815 (2007).
[CrossRef]

2006 (12)

D. E. Chang, A. S. Sørensen, P. R. Hemmer, and M. D. Lukin, "Quantum optics with surface plasmons," Phys. Rev. Lett. 97, 053002 (2006).
[CrossRef] [PubMed]

S. Tomljenovic-Hanic, M. J. Steel, C. Martijn de Sterke, and J. Salzman, "Diamond based photonic crystal microcavities," Opt. Express 14, 3556-3562 (2006).
[CrossRef] [PubMed]

J. W. Baldwin, M. Zalalutdinov, T. Feygelson, J. E. Butler, and B. H. Houston, "Fabrication of short-wavelength photonic crystals in wide-band-gap nanocrystalline diamond films," J. Vac. Sci. Technol. B 24, 50-54 (2006).
[CrossRef]

Ph. Tamarat, T. Gaebel, J. R. Rabeau, M. Khan, A. D. Greentree, H. Wilson, L. C. L. Hollenberg, S. Prawer, P. Hemmer, F. Jelezko, and J. Wrachtrup, "Stark shift control of single optical centres in diamond," Phys. Rev. Lett. 97, 083002 (2006).
[CrossRef] [PubMed]

A. D. Greentree, J. Salzman, S. Prawer, and L. C. L. Hollenberg, "Quantum gate for Q switching in monolithic photonic-band-gap cavities containing two-level atoms," Phys. Rev. A 73, 013818 (2006).
[CrossRef]

N. B. Manson, J. P. Harrison, and M. J. Sellars, "Nitrogen-vacancy center in diamond: Model of the electronic structure and associated dynamics," Phys. Rev. B 74, 104303 (2006).
[CrossRef]

A. D. Greentree, P. Olivero, M. Draginski, E. Trajkov, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, S. T. Huntington, D. N. Jamieson, and S. Prawer, "Critical components for diamond-based quantum coherent devices," J. Phys.: Cond. Matt. 18, S825-S842 (2006).
[CrossRef]

M. J. Hartmann, F. G. S. L. Brandao, and M. B. Plenio, "Strongly interacting polaritons in coupled arrays of cavities," Nat. Phys. 2, 849-855 (2006).
[CrossRef]

A. D. Greentree, C. Tahan, J. H. Cole, and L. C. L. Hollenberg, "Quantum phase transitions of light," Nat. Phys. 2, 856-861 (2006).
[CrossRef]

C. Wang, C. Kurtsiefer, H. Weinfurter, and B. Burchard, "Single photon emission from SiV centres in diamond produced by ion implantation," J. Phys. B: At. Mol. Opt. Phys. 39, 37-41 (2006).
[CrossRef]

S. Kako, C. Santori, K. Hoshino, S. G.¨otzinger, Y. Yamamoto, and Y. Arakawa, "A gallium nitride single-photon source operating at 200K," Nature Maters. 5, 887-892 (2006).
[CrossRef] [PubMed]

J. R. Rabeau, P. Reichart, G. Tamanyan, D. N. Jamieson, S. Prawer, F. Jelezko, T. Gaebel, I. Popa, M. Domhan, and J. Wrachtrup, "Implantation of labelled single nitrogen vacancy centres in diamond using15N," Appl. Phys. Lett. 88, 23113 (2006).
[CrossRef]

2005 (7)

P. P. Rohde, T. C. Ralph, and M. A. Nielsen, "Optimal photons for quantum-information processing," Phys. Rev. A 72, 052332 (2005).
[CrossRef]

J. Meijer, B. Burchard, M. Domhan, C. Wittmann, T. Gaebel, I. Popa, F. Jelezko, and J. Wrachtrup, "Generation of single color centers by focused nitrogen implantation," Appl. Phys. Lett. 87, 261909 (2005).
[CrossRef]

D. N. Jamieson, C. Yang, T. Hopf, S. M. Hearne, C. I. Pakes, S. Prawer, M. Mitic, E. Gauja, S. E. Andreson, F. E. Hudson, A. S. Dzurak, and R. G. Clark, "Controlled shallow single-ion implantation in silicon using an active substrate for sub-20-keV ions," Appl. Phys. Lett. 86, 202101 (2005).
[CrossRef]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

B. Barquie, M. P. A. Jones, J. Dingjan, J. Beugnon, S. Bergamini, Y. Sortais, G. Messin, A. Browaeys, and P. Grangier, "Controlled single-photon emission from a single trapped two-level atom," Science 309, 454-456 (2005).
[CrossRef]

B.-S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double-heterostructure nanocavity," Nature Materials 4, 207-210 (2005).
[CrossRef]

L.-M. Duan, B. Wang, and H. J. Kimble, "Robust quantum gates on neutral atoms with cavity-assisted photon scattering," Phys. Rev. A 72, 032333 (2005).
[CrossRef]

2004 (8)

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, "Observation of coherent oscillations in a single electron spin," Phys. Rev. Lett. 92, 076401 (2004).
[CrossRef] [PubMed]

Y. Dumeige, F. Treussart, R. Alleaume, T. Gacoin, J.-F. Roch, and P. Grangier, "Photo-induced creaton of nitrogen-related color centers in diamond nanocrystals under femtosecond illumination," J. Lumin. 109, 61- 67 (2004).
[CrossRef]

T. Gaebel, I. Popa, A. Gruber, M. Domhan, F. Jelezko, and J. Wrachtrup, "Stable single-photon source in the near infrared," New J. Phys. 6, 98 (2004).
[CrossRef]

M. Keller, B. Lange, K. Hayasaka, W. Lange, and H. Walther, "Continuous generation of single photons with controlled waveform in an ion-trap cavity system," Nature (London) 431, 1075-1078 (2004).
[CrossRef] [PubMed]

V. Giovannetti, S. Lloyd, and L. Maccone, "Quantum-enhanced measurements: Beating the standard quantum limit," Science 306, 1330-1336 (2004).
[CrossRef] [PubMed]

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Buzmich, and H. J. Kimble, "Deterministic generation of single photons from one atom trapped in a cavity, " Science 303, 1992-1994 (2004).
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2003 (1)

Y. Akahane, T. Asano, B.-S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature (London) 425, 944-947 (2003).
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2002 (4)

A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, "Single photon quantum cryptography," Phys. Rev. Lett. 89, 187901 (2002).
[CrossRef] [PubMed]

E. Waks, K. Inoue, C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, "Quantum cryptography with a photon turnstile," Nature (London) 420, 762 (2002).
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E. Waks, C. Santori, and Y. Yamamoto, "Security aspects of quantum key distribution with sub-Poisson light," Phys. Rev. A 66, 042315 (2002).
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A. Kuhn, M. Hennrich, and G. Rempe, "Deterministic single-photon source for distributed quantum networking," Phys. Rev. Lett. 89, 067901 (2002).
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2001 (1)

E. Knill, R. Laflamme, and G. J. Milburn, "A scheme for efficient quantum computation with linear optics," Nature (London) 409, 46-52 (2001).
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2000 (2)

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1999 (2)

C. Brunel, B. Lounis, Ph. Tamarat, and M. Orrit, "Triggered source of single photons based on controlled single molecule fluorescence," Phys. Rev. Lett. 83, 2722-2725 (1999).
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J.-M. Gerard and B. Gayral, "Strong Purcell effector for InAs quantum boxes in three-dimensional solid-state microcavities," J. Lightwave Technol. 17, 2089-2095 (1999).
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1997 (1)

C. K. Law and H. J. Kimble, "Deterministic generation of a bit-stream of single-photon pulses," J. Mod. Opt. 44, 2067-2074 (1997).

1995 (1)

Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, "Measurement of conditional phase shifts for quantum logic," Phys. Rev. Lett. 75, 4710-4713 (1995).
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1993 (1)

B. W. Shore and P. L. Knight, "The Jaynes-Cummings model," J. Mod. Opt. 40, 1195-1238 (1993).
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1992 (2)

L. Tian and H. J. Carmichael, "Quantum trajectory simulations of the two-state behavior of an optical cavity containing one atom," Phys. Rev. A 46, R6801-R6804 (1992).
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E. S. Polzik, J. Carri, and H. J. Kimble, "Spectroscopy with squeezed light," Phys. Rev. Lett. 68, 3020-3023 (1992).
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1987 (1)

C. K. Hong, Z. Y Ou, and L. Mandel, "Measurement of subpicosecond time intervals between two photons by interference," Phys. Rev. Lett. 59, 2044-2046 (1987).
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1976 (1)

G. Davies and M. F. Hamer, "Optical studies of the 1.945eV vibronic band in diamond," Proc. R. Soc. Lond. A: Math. and Phys. Sci. 348, 285-298 (1976).
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1963 (1)

E. T. Jaynes and F. W. Cummings, "Comparison of quantum and semiclassical radiation theory with application to the beam maser," Proc. IEEE 51, 89-109 (1963).
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1946 (1)

E. M. Purcell, "Spontaneous emission probabilities at radio frequencies," Phys. Rev. 69, 681 (1946).

Akahane, Y.

B.-S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double-heterostructure nanocavity," Nature Materials 4, 207-210 (2005).
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Y. Akahane, T. Asano, B.-S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature (London) 425, 944-947 (2003).
[CrossRef] [PubMed]

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R. Alleaume, F. Treussart, G. Messin, Y. Dumeige, J.-F. Roch, A. Beveratos, R. Brouri-Tualle, J.-P. Poizat, and P. Grangier, "Experimental open-air quantum key distribution with a single-photon source," New J. Phys. 6, 92 (2004).
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Alleaume, R.

Y. Dumeige, F. Treussart, R. Alleaume, T. Gacoin, J.-F. Roch, and P. Grangier, "Photo-induced creaton of nitrogen-related color centers in diamond nanocrystals under femtosecond illumination," J. Lumin. 109, 61- 67 (2004).
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Andreson, S. E.

D. N. Jamieson, C. Yang, T. Hopf, S. M. Hearne, C. I. Pakes, S. Prawer, M. Mitic, E. Gauja, S. E. Andreson, F. E. Hudson, A. S. Dzurak, and R. G. Clark, "Controlled shallow single-ion implantation in silicon using an active substrate for sub-20-keV ions," Appl. Phys. Lett. 86, 202101 (2005).
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Angelakis, D. G.

D. G. Angelakis, M. F. Santos, and S. Bose, "Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays," Phys. Rev. A 76, 031805(R) (2007).
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Arakawa, Y.

S. Kako, C. Santori, K. Hoshino, S. G.¨otzinger, Y. Yamamoto, and Y. Arakawa, "A gallium nitride single-photon source operating at 200K," Nature Maters. 5, 887-892 (2006).
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D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Asano, T.

S. Noda, M. Fujita, and T. Asano, "Spontaneous-emission control by photonic crystals and nanocavities," Nat. Photonics 1, 449-458 (2007).
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B.-S. Song, S. Noda, T. Asano, and Y. Akahane, "Ultra-high-Q photonic double-heterostructure nanocavity," Nature Materials 4, 207-210 (2005).
[CrossRef]

Y. Akahane, T. Asano, B.-S. Song, and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature (London) 425, 944-947 (2003).
[CrossRef] [PubMed]

Aspect, A.

V. Jacques, E. Wu, F. Grosshans, F. Treussart, P. Grangier, A. Aspect, and J.-F. Roch, "Experimental realization of Wheeler??s delayed-choice gedanken experiment," Science 315, 966-968 (2007).
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Atature, M.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atature, S. Gulde, S. Falt, E. L. Hu, and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature (London) 445, 896-899 (2007).
[CrossRef] [PubMed]

Awschalom, D. D.

C. F. Wang, R. Hanson, D. D. Awschalom, E. L. Hu, T. Feygelson, J. Yang, and J. E. Butler, "Fabrication and characterization of two-dimensional photonic crystal microcavities in nanocrystalline diamond," Appl. Phys. Lett. 91, 201112 (2007).
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Badolato, A.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atature, S. Gulde, S. Falt, E. L. Hu, and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature (London) 445, 896-899 (2007).
[CrossRef] [PubMed]

Baldwin, J. W.

J. W. Baldwin, M. Zalalutdinov, T. Feygelson, J. E. Butler, and B. H. Houston, "Fabrication of short-wavelength photonic crystals in wide-band-gap nanocrystalline diamond films," J. Vac. Sci. Technol. B 24, 50-54 (2006).
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I. Bayn and J. Salzman, "High-Q photonic crystal nanocavities on diamond for quantum electrodynamics," Eur. Phys. J. Appl. Phys. 37, 19-24 (2007).
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Beveratos, A.

R. Alleaume, F. Treussart, G. Messin, Y. Dumeige, J.-F. Roch, A. Beveratos, R. Brouri-Tualle, J.-P. Poizat, and P. Grangier, "Experimental open-air quantum key distribution with a single-photon source," New J. Phys. 6, 92 (2004).
[CrossRef]

A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, "Single photon quantum cryptography," Phys. Rev. Lett. 89, 187901 (2002).
[CrossRef] [PubMed]

Boca, A.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Buzmich, and H. J. Kimble, "Deterministic generation of single photons from one atom trapped in a cavity, " Science 303, 1992-1994 (2004).
[CrossRef] [PubMed]

Boozer, A. D.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Buzmich, and H. J. Kimble, "Deterministic generation of single photons from one atom trapped in a cavity, " Science 303, 1992-1994 (2004).
[CrossRef] [PubMed]

Bose, S.

D. G. Angelakis, M. F. Santos, and S. Bose, "Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays," Phys. Rev. A 76, 031805(R) (2007).
[CrossRef]

Brouri, R.

A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, "Single photon quantum cryptography," Phys. Rev. Lett. 89, 187901 (2002).
[CrossRef] [PubMed]

Brouri-Tualle, R.

R. Alleaume, F. Treussart, G. Messin, Y. Dumeige, J.-F. Roch, A. Beveratos, R. Brouri-Tualle, J.-P. Poizat, and P. Grangier, "Experimental open-air quantum key distribution with a single-photon source," New J. Phys. 6, 92 (2004).
[CrossRef]

Brunel, C.

C. Brunel, B. Lounis, Ph. Tamarat, and M. Orrit, "Triggered source of single photons based on controlled single molecule fluorescence," Phys. Rev. Lett. 83, 2722-2725 (1999).
[CrossRef]

Buck, J. R.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Buzmich, and H. J. Kimble, "Deterministic generation of single photons from one atom trapped in a cavity, " Science 303, 1992-1994 (2004).
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Burchard, B.

C. Wang, C. Kurtsiefer, H. Weinfurter, and B. Burchard, "Single photon emission from SiV centres in diamond produced by ion implantation," J. Phys. B: At. Mol. Opt. Phys. 39, 37-41 (2006).
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J. Meijer, B. Burchard, M. Domhan, C. Wittmann, T. Gaebel, I. Popa, F. Jelezko, and J. Wrachtrup, "Generation of single color centers by focused nitrogen implantation," Appl. Phys. Lett. 87, 261909 (2005).
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Butler, J. E.

C. F. Wang, R. Hanson, D. D. Awschalom, E. L. Hu, T. Feygelson, J. Yang, and J. E. Butler, "Fabrication and characterization of two-dimensional photonic crystal microcavities in nanocrystalline diamond," Appl. Phys. Lett. 91, 201112 (2007).
[CrossRef]

J. W. Baldwin, M. Zalalutdinov, T. Feygelson, J. E. Butler, and B. H. Houston, "Fabrication of short-wavelength photonic crystals in wide-band-gap nanocrystalline diamond films," J. Vac. Sci. Technol. B 24, 50-54 (2006).
[CrossRef]

Buzmich, A.

J. McKeever, A. Boca, A. D. Boozer, R. Miller, J. R. Buck, A. Buzmich, and H. J. Kimble, "Deterministic generation of single photons from one atom trapped in a cavity, " Science 303, 1992-1994 (2004).
[CrossRef] [PubMed]

Carmichael, H. J.

L. Tian and H. J. Carmichael, "Quantum trajectory simulations of the two-state behavior of an optical cavity containing one atom," Phys. Rev. A 46, R6801-R6804 (1992).
[CrossRef] [PubMed]

Carri, J.

E. S. Polzik, J. Carri, and H. J. Kimble, "Spectroscopy with squeezed light," Phys. Rev. Lett. 68, 3020-3023 (1992).
[CrossRef] [PubMed]

Chang, D. E.

D. E. Chang, A. S. Sørensen, P. R. Hemmer, and M. D. Lukin, "Quantum optics with surface plasmons," Phys. Rev. Lett. 97, 053002 (2006).
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Clark, R. G.

D. N. Jamieson, C. Yang, T. Hopf, S. M. Hearne, C. I. Pakes, S. Prawer, M. Mitic, E. Gauja, S. E. Andreson, F. E. Hudson, A. S. Dzurak, and R. G. Clark, "Controlled shallow single-ion implantation in silicon using an active substrate for sub-20-keV ions," Appl. Phys. Lett. 86, 202101 (2005).
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A. D. Greentree, C. Tahan, J. H. Cole, and L. C. L. Hollenberg, "Quantum phase transitions of light," Nat. Phys. 2, 856-861 (2006).
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Cummings, F. W.

E. T. Jaynes and F. W. Cummings, "Comparison of quantum and semiclassical radiation theory with application to the beam maser," Proc. IEEE 51, 89-109 (1963).
[CrossRef]

Davies, G.

G. Davies and M. F. Hamer, "Optical studies of the 1.945eV vibronic band in diamond," Proc. R. Soc. Lond. A: Math. and Phys. Sci. 348, 285-298 (1976).
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Domhan, M.

J. R. Rabeau, P. Reichart, G. Tamanyan, D. N. Jamieson, S. Prawer, F. Jelezko, T. Gaebel, I. Popa, M. Domhan, and J. Wrachtrup, "Implantation of labelled single nitrogen vacancy centres in diamond using15N," Appl. Phys. Lett. 88, 23113 (2006).
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J. Meijer, B. Burchard, M. Domhan, C. Wittmann, T. Gaebel, I. Popa, F. Jelezko, and J. Wrachtrup, "Generation of single color centers by focused nitrogen implantation," Appl. Phys. Lett. 87, 261909 (2005).
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T. Gaebel, I. Popa, A. Gruber, M. Domhan, F. Jelezko, and J. Wrachtrup, "Stable single-photon source in the near infrared," New J. Phys. 6, 98 (2004).
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Dowling, J. P.

P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, "Linear optical quantum computing," Rev. Mod. Phys. 79, 135-174 (2007).
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Draginski, M.

A. D. Greentree, P. Olivero, M. Draginski, E. Trajkov, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, S. T. Huntington, D. N. Jamieson, and S. Prawer, "Critical components for diamond-based quantum coherent devices," J. Phys.: Cond. Matt. 18, S825-S842 (2006).
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L.-M. Duan, B. Wang, and H. J. Kimble, "Robust quantum gates on neutral atoms with cavity-assisted photon scattering," Phys. Rev. A 72, 032333 (2005).
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L.-M. Duan and H. J. Kimble, "Scalable photonic quantum computation through cavity-assisted interactions," Phys. Rev. Lett. 92, 127902 (2004).
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Dumeige, Y.

R. Alleaume, F. Treussart, G. Messin, Y. Dumeige, J.-F. Roch, A. Beveratos, R. Brouri-Tualle, J.-P. Poizat, and P. Grangier, "Experimental open-air quantum key distribution with a single-photon source," New J. Phys. 6, 92 (2004).
[CrossRef]

Y. Dumeige, F. Treussart, R. Alleaume, T. Gacoin, J.-F. Roch, and P. Grangier, "Photo-induced creaton of nitrogen-related color centers in diamond nanocrystals under femtosecond illumination," J. Lumin. 109, 61- 67 (2004).
[CrossRef]

Dzurak, A. S.

D. N. Jamieson, C. Yang, T. Hopf, S. M. Hearne, C. I. Pakes, S. Prawer, M. Mitic, E. Gauja, S. E. Andreson, F. E. Hudson, A. S. Dzurak, and R. G. Clark, "Controlled shallow single-ion implantation in silicon using an active substrate for sub-20-keV ions," Appl. Phys. Lett. 86, 202101 (2005).
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Englund, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Falt, S.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atature, S. Gulde, S. Falt, E. L. Hu, and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature (London) 445, 896-899 (2007).
[CrossRef] [PubMed]

Fattal, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vuckovic, "Controlling the spontaneous emission rate of single quantum dots in a two-dimensional photonic crystal," Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

E. Waks, K. Inoue, C. Santori, D. Fattal, J. Vuckovic, G. S. Solomon, and Y. Yamamoto, "Quantum cryptography with a photon turnstile," Nature (London) 420, 762 (2002).
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M. J. Fernee, H. Rubinsztein-Dunlop, and G. J. Milburn, "Improving single-photon sources with Stark tuning," Phys. Rev. A 75, 043815 (2007).
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Feygelson, T.

C. F. Wang, R. Hanson, D. D. Awschalom, E. L. Hu, T. Feygelson, J. Yang, and J. E. Butler, "Fabrication and characterization of two-dimensional photonic crystal microcavities in nanocrystalline diamond," Appl. Phys. Lett. 91, 201112 (2007).
[CrossRef]

J. W. Baldwin, M. Zalalutdinov, T. Feygelson, J. E. Butler, and B. H. Houston, "Fabrication of short-wavelength photonic crystals in wide-band-gap nanocrystalline diamond films," J. Vac. Sci. Technol. B 24, 50-54 (2006).
[CrossRef]

Fujita, M.

S. Noda, M. Fujita, and T. Asano, "Spontaneous-emission control by photonic crystals and nanocavities," Nat. Photonics 1, 449-458 (2007).
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Gacoin, T.

Y. Dumeige, F. Treussart, R. Alleaume, T. Gacoin, J.-F. Roch, and P. Grangier, "Photo-induced creaton of nitrogen-related color centers in diamond nanocrystals under femtosecond illumination," J. Lumin. 109, 61- 67 (2004).
[CrossRef]

A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, "Single photon quantum cryptography," Phys. Rev. Lett. 89, 187901 (2002).
[CrossRef] [PubMed]

Gaebel, T.

J. R. Rabeau, P. Reichart, G. Tamanyan, D. N. Jamieson, S. Prawer, F. Jelezko, T. Gaebel, I. Popa, M. Domhan, and J. Wrachtrup, "Implantation of labelled single nitrogen vacancy centres in diamond using15N," Appl. Phys. Lett. 88, 23113 (2006).
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Ph. Tamarat, T. Gaebel, J. R. Rabeau, M. Khan, A. D. Greentree, H. Wilson, L. C. L. Hollenberg, S. Prawer, P. Hemmer, F. Jelezko, and J. Wrachtrup, "Stark shift control of single optical centres in diamond," Phys. Rev. Lett. 97, 083002 (2006).
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J. Meijer, B. Burchard, M. Domhan, C. Wittmann, T. Gaebel, I. Popa, F. Jelezko, and J. Wrachtrup, "Generation of single color centers by focused nitrogen implantation," Appl. Phys. Lett. 87, 261909 (2005).
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T. Gaebel, I. Popa, A. Gruber, M. Domhan, F. Jelezko, and J. Wrachtrup, "Stable single-photon source in the near infrared," New J. Phys. 6, 98 (2004).
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F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, "Observation of coherent oscillations in a single electron spin," Phys. Rev. Lett. 92, 076401 (2004).
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Gauja, E.

D. N. Jamieson, C. Yang, T. Hopf, S. M. Hearne, C. I. Pakes, S. Prawer, M. Mitic, E. Gauja, S. E. Andreson, F. E. Hudson, A. S. Dzurak, and R. G. Clark, "Controlled shallow single-ion implantation in silicon using an active substrate for sub-20-keV ions," Appl. Phys. Lett. 86, 202101 (2005).
[CrossRef]

Gerace, D.

K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atature, S. Gulde, S. Falt, E. L. Hu, and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature (London) 445, 896-899 (2007).
[CrossRef] [PubMed]

Gibson, B. C.

A. D. Greentree, P. Olivero, M. Draginski, E. Trajkov, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, S. T. Huntington, D. N. Jamieson, and S. Prawer, "Critical components for diamond-based quantum coherent devices," J. Phys.: Cond. Matt. 18, S825-S842 (2006).
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P. Olivero, S. Rubanov, P. Reichart, B. C. Gibson, S. T. Huntington, J. R. Rabeau, A. D. Greentree, J. Salzman, D. Moore, D. N. Jamieson, and S. Prawer, "Ion-beam-assisted lift-off techniques for three-dimensional micromachining of freestanding single-crystal diamond," Advanced Materals (Weinheim, Ger.) 17, 2427-2430 (2005).
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Giovannetti, V.

V. Giovannetti, S. Lloyd, and L. Maccone, "Quantum-enhanced measurements: Beating the standard quantum limit," Science 306, 1330-1336 (2004).
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Gotzinger, S.

S. Kako, C. Santori, K. Hoshino, S. G.¨otzinger, Y. Yamamoto, and Y. Arakawa, "A gallium nitride single-photon source operating at 200K," Nature Maters. 5, 887-892 (2006).
[CrossRef] [PubMed]

Grangier, P.

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M. Hijlkema, B. Weber, H. P. Specht, S. C. Webster, A. Kuhn, and G. Rempe, "A single-photon server with just one atom," Nat. Phys. 3, 253-255 (2007).
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C. Wang, C. Kurtsiefer, H. Weinfurter, and B. Burchard, "Single photon emission from SiV centres in diamond produced by ion implantation," J. Phys. B: At. Mol. Opt. Phys. 39, 37-41 (2006).
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J. Meijer, B. Burchard, M. Domhan, C. Wittmann, T. Gaebel, I. Popa, F. Jelezko, and J. Wrachtrup, "Generation of single color centers by focused nitrogen implantation," Appl. Phys. Lett. 87, 261909 (2005).
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J. R. Rabeau, A. Stacey, A. Rabeau, F. Jelezko, I. Mirza, J. Wrachtrup, and S. Prawer, "Single nitrogen vacancy centers in chemical vapor deposited diamond nanocrystals," Nano Lett. 7, 3433-3437 (2007).
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Figures (5)

Fig. 1.
Fig. 1.

Theoretical model of a cavity-centre system for single photon generation: the NV centre is modelled as a multi-level atom with a single excited state |e〉 and a ground state with vibrational sublevels {|gj 〉}. The centre is pumped with an external classical field r(t) (white arrow) acting as the trigger pulse, the transition |e〉-|gi 〉 is coupled to a lossy single-modal cavity with coupling strength Ω i (grey) and cavity decay rate κ (black). γ g i e (dashed) is the atomic decay rate for radiative transitions |e〉-|gi 〉 while γ g m g n (dotted) are that for the non-radiative phononic transitions |gn 〉-|gm 〉.

Fig. 2.
Fig. 2.

a. Probability of the cavity-centre system (ωC =ωZPL , V=λ 3 ZPL ) to emit a single photon per top-hat excitation pulse as a function of pulse width T and absorption rate r 0. Dash-dotted line denotes the pulse width parameter used in Ref. [59] where the illumination irreversibly transforms the centre into a different centre and is therefore a practical cutoff. Circle labels the parameters [yield P 1=0.996 and P ≥2~��(10-5)] used for the demonstration of single-photon generation with the cavity-centre system. b. Zero (dotted), single (solid) and multi- (dashed) photon probability as a function of pulse width with constant absorption rate r 0=1013 Hz.

Fig. 3.
Fig. 3.

Evolution of a cavity-centre system (ωC =ωZPL , V3 ZPL, κ=2.5Ω0) in response to a top-hat excitation pulse (r 0=1013 Hz, T=0.56 ps). a. Population in |e,0 C ,0 W 〉 (the excited centre, black dash-dotted) and |g 0,0 C ,1 W 〉 or ρWW (the outcoupled waveguide mode, black/red solid) as a function of time. b. Time derivatives of ρWW , proportional to the output intensity, with an integrated area of 0.99 (solid) and of 1.01 (dashed red). Simulation is performed by direct integration of Eq. 2 (black solid/dash-dotted) and by quantum trajectory approach as a direct photodetection experiment (red dashed).

Fig. 4.
Fig. 4.

Comparison of the probability of the cavity-centre system (ωC =ωZPL ,V=λ 3 ZPL ) to emit a photon of ωZPL via the cavity channel and to emit iPL photon via atom decoherence as a function of cavity quality factor Q.

Fig. 5.
Fig. 5.

Photon correlation histogram of emission from the cavity-centre system under pulsed excitation of top-hat functional form obtained using a HBT setup with quantum trajectory approach. The simulations involve a. excitation pulse of temporal width T=0.56 ps and constant absorption rate r 0=1013 Hz at a repetition rate of 1 GHz for a trajectory time of 5 µs, and b. excitation pulse of varying temporal widths and constant r 0=1013 Hz at repetition rate of 0.5 GHz for total time 1.5 ms.

Equations (7)

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𝓗 ̂ JC = i = 0 N A 2 ω g i σ ̂ g i g i + ω e σ ̂ e e + ω C a ̂ a ̂ + 1 2 i = 0 N A 2 ( Ω i a ̂ σ ̂ g i e + H . c ) ,
d ρ d t = i [ 𝓗 ̂ JC , ρ ] + j = 0 N A 2 γ g j e 𝓛 [ σ ̂ g j e , ρ ] + r ( t ) 𝓛 [ σ ̂ e g 0 , ρ ] + i = 0 N A 3 γ g i g i + 1 𝓛 [ σ ̂ g i g i + 1 , ρ ] + κ 𝓛 [ b ̂ a ̂ , ρ ] ,
𝓛 [ O ̂ , ρ ] = O ̂ ρ O ̂ 1 2 ( O ̂ O ̂ ρ + ρ O ̂ O ̂ ) .
F p = 3 ( λ C n ) 3 4 π 2 Q V ,
P 0 = e r 0 T ,
P 1 = 2 e r 0 T { e r 0 T 2 [ 16 Ω i 2 + r 0 2 cosh ( η T 2 ) ] η 2 1 } ,
γ overall = γ g 0 g 1 + 2 Ω 0 2 ω C ( 2 Q ) + γ g m g n 2 γ g 0 g 1 + 𝒪 ( Ω 0 4 ) .

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