Abstract

To take existing quantum optical experiments and devices into more practical regimes requires the construction of robust, solid-state implementations. In particular, to observe the strong-coupling regime of atom-photon interactions requires very small cavities and large quality factors. Here we show that the slot-waveguide geometry recently introduced for photonic applications is also promising for quantum optical applications in the visible regime. We study diamond- and GaP-based slot-waveguide cavities (SWCs) compatible with diamond colour centres e.g. nitrogen-vacancy (NV) defect. We show that one can achieve increased single-photon Rabi frequencies of order O(1011) rad s-1 in ultra-small cavity modal volumes, nearly 2 orders of magnitude smaller than previously studied diamond-based photonic crystal cavities.

© 2009 Optical Society of America

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2009

2008

A. Gondarenko and M. Lipson, "Low modal volume dipole-like dielectric slab resonator," Opt. Express 16, 17689 (2008).
[PubMed]

C.-H. Su, A. D. Greentree, W. J. Munro, K. Nemoto, and L. C. L. Hollenberg, "High-speed quantum gates with cavity quantum electrodynamics," Phys. Rev. A 78, 062336 (2008).

A. M. Stephens, Z. W. E. Evans, S. J. Devitt, A. D. Greentree, A. G. Fowler, W. J. Munro, J. L. O’Brien, K. Nemoto, and L. C. L. Hollenberg, "Deterministic optical quantum computer using photonic modules," Phys. Rev. A 78, 032318 (2008).

C. Kreuzer, J. Riedrich-Möller, E. Neu, and C. Becher, "Design of photonic crystal microcavities in diamond films," Opt. Express 16, 1632-1644 (2008).
[PubMed]

M. W. McCutcheon and M. Lon?ar, "Design of a silicon nitride photonic crystal nanocavity with a Quality factor of one million for coupling to a diamond nanocrystal," Opt. Express 16, 19137-19145 (2008).

I. Bayn, and J. Salzman, "Ultra high-Q photonic crystal nanocavity design: "The effect of a low-? slab material," Opt. Express 16, 4972-4980 (2008).
[PubMed]

A. D. Greentree, B. A. Fairchild, F. M. Hossain, and S. Prawer, "Diamond integrated quantum photonics," Mater. Today 11, 22-31 (2008).

C. L. Degen, "Scanning magnetic field microscope with a diamond single spin sensor," Appl. Phys. Lett. 92, 243111 (2008).

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
[PubMed]

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
[PubMed]

C.-H. Su, A. D. Greentree, and L. C. L. Hollenberg, "Towards a picosecond transform-limited nitrogen-vacancy based single-photon source," Opt. Express 16, 6240 (2008).
[PubMed]

K.-M. C. Fu, C. Santori, P. E. Barclay, I. Aharonovich, S. Prawer, N. Meyer, A. M. Holm, and R. G. Beausoleil, "Coupling of nitrogen-vacancy centers in diamond to a GaP waveguide," Appl. Phys. Lett. 93, 234107 (2008).

J. Butler and A. V. Sumant, "The CVD of nanodiamond materials," Chem. Vapor Depos. 14, 145-160 (2008).

B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

M. P. Hiscocks, K. Ganesan, B. C. Gibson, S. T. Huntington, F. Ladouceur and S. Prawer, "Diamond waveguides fabricated by reactive ion etching," Opt. Express 16, 19512-19519 (2008).
[PubMed]

2007

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

R. Sun, P. Dong, N. Feng, C. Hong, J. Michel, M. Lipson, and L. Kimerling, "Horizontal single and multiple slot waveguides: optical transmission at ? = 1550 nm," Opt. Express 15, 17967-17972 (2007).
[PubMed]

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

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).

M. W. Pruessner, T. H. Stievater, and W. S. Rabinovich, "Integrated waveguide Fabry-Perot microcavities with silicon/air Bragg mirrors," Opt. Lett. 32, 533-535 (2007).
[PubMed]

P. Velha, E. Picard, T. Charvolin, E. Hadji1, J. C. Rodier, P. Lalanne and D. Peyrade, "Ultra-High Q/V Fabry-Perot microcavity on SOI substrate," Opt. Express 15, 16090-16096 (2007).
[PubMed]

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).

2006

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).

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).

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

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, "Room-temperature coherent coupling of single spins in diamond," Nat. Phys. 2, 408-413 (2006).

T. P Spiller, K. Nemoto, S. L. Braunstein, W. J. Munro, P. van Loock, and G. J. Milburn, "Quantum computation by communication," New J. Phys. 8, 30 (2006).

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

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

2005

G. Cui and M. Raymer, "Quantum efficiency of single-photon sources in the cavity-QED strong-coupling regime," Opt. Express 13, 9660-9665 (2005).
[PubMed]

J. T. Robinson, C. Manolatou, L. Chen, and M. Lipson, "Ultrasmall mode volumes in dielectric optical microcavities," Phys. Rev. Lett. 95, 143901 (2005).
[PubMed]

P. Olivero, S. Rubanov, P. Reichart, B. C. Gibson, S. T. Huntington, J. Rabeau, A. D. Greentree, J. Salzman, D. Moore, D. N. Jamieson, S. Prawer, "Ion-beam-assisted lift-off technique for three-dimensional micromachining of freestanding single-crystal diamond," Adv. Mater. 17, 2427-2430 (2005).

2004

2003

K. J. Vahala, "Optical microcavities," Nature 424, 839-846 (2003).
[PubMed]

2002

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, "Ultralow-threshold Raman laser using a spherical dielectric microcavity," Nature 415, 621-623 (2002).
[PubMed]

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

2001

L.-M. Duan, M. D. Lukin, J. I. Cirac, and P. Zoller, "Long-distance quantum communication with atomic ensembles and linear optics," Nature 414, 413-418 (2001).
[PubMed]

2000

C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, "Stable solid-state source of single-photons," Phys. Rev. Lett. 85, 290-293 (2000).
[PubMed]

1997

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

X. Maître, E. Hagley, G. Nogues, C. Wunderlich, P. Goy, M. Brune, J. M. Raimond, and S. Haroche, "Quantum memory with a single photon in a cavity," Phys. Rev. Lett. 79, 769-772 (1997).

1995

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, "Decoherence, continuous observation, and quantum computing: A cavity QED model," Phys. Rev. Lett. 75, 3788-791 (1995);
[PubMed]

1983

D. E. Aspnes and A. A. Studna, "Dielectric functions and optical parameters of Si, Ge, GaP, GaAs, GaSb, InP, InAs, and InSb from 1.5 to 6.0 eV," Phys. Rev. B 27, 985-1009 (1983).

1976

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).

Aharonovich, I.

K.-M. C. Fu, C. Santori, P. E. Barclay, I. Aharonovich, S. Prawer, N. Meyer, A. M. Holm, and R. G. Beausoleil, "Coupling of nitrogen-vacancy centers in diamond to a GaP waveguide," Appl. Phys. Lett. 93, 234107 (2008).

Al-Hmoud, M.

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
[PubMed]

Almeida, V. R.

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).

Asano, T.

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

Aspnes, D. E.

D. E. Aspnes and A. A. Studna, "Dielectric functions and optical parameters of Si, Ge, GaP, GaAs, GaSb, InP, InAs, and InSb from 1.5 to 6.0 eV," Phys. Rev. B 27, 985-1009 (1983).

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).

Balasubramanian, G.

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G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
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J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
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Cui, G.

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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F. Jelezko, T. Gaebel, I. Popa, M. Domham, A. Gruber, and J. Wrachtrup, "Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate," Phys. Rev. Lett. 93, 130501 (2004).
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Dong, P.

Duan, L.-M.

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A. D. Greentree, B. A. Fairchild, F. M. Hossain, and S. Prawer, "Diamond integrated quantum photonics," Mater. Today 11, 22-31 (2008).

B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

Feng, N.

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).

Fowler, A. G.

A. M. Stephens, Z. W. E. Evans, S. J. Devitt, A. D. Greentree, A. G. Fowler, W. J. Munro, J. L. O’Brien, K. Nemoto, and L. C. L. Hollenberg, "Deterministic optical quantum computer using photonic modules," Phys. Rev. A 78, 032318 (2008).

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K.-M. C. Fu, C. Santori, P. E. Barclay, I. Aharonovich, S. Prawer, N. Meyer, A. M. Holm, and R. G. Beausoleil, "Coupling of nitrogen-vacancy centers in diamond to a GaP waveguide," Appl. Phys. Lett. 93, 234107 (2008).

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A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, "Single photon quantum cryptography," Phys. Rev. Lett. 89, 187901 (2002).
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F. Jelezko, T. Gaebel, I. Popa, M. Domham, A. Gruber, and J. Wrachtrup, "Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate," Phys. Rev. Lett. 93, 130501 (2004).
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Ganesan, K.

Gardiner, S. A.

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, "Decoherence, continuous observation, and quantum computing: A cavity QED model," Phys. Rev. Lett. 75, 3788-791 (1995);
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Gibson, B. C.

M. P. Hiscocks, K. Ganesan, B. C. Gibson, S. T. Huntington, F. Ladouceur and S. Prawer, "Diamond waveguides fabricated by reactive ion etching," Opt. Express 16, 19512-19519 (2008).
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P. Olivero, S. Rubanov, P. Reichart, B. C. Gibson, S. T. Huntington, J. Rabeau, A. D. Greentree, J. Salzman, D. Moore, D. N. Jamieson, S. Prawer, "Ion-beam-assisted lift-off technique for three-dimensional micromachining of freestanding single-crystal diamond," Adv. Mater. 17, 2427-2430 (2005).

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Goy, P.

X. Maître, E. Hagley, G. Nogues, C. Wunderlich, P. Goy, M. Brune, J. M. Raimond, and S. Haroche, "Quantum memory with a single photon in a cavity," Phys. Rev. Lett. 79, 769-772 (1997).

Grangier, P.

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).

A. Beveratos, R. Brouri, T. Gacoin, A. Villing, J.-P. Poizat, and P. Grangier, "Single photon quantum cryptography," Phys. Rev. Lett. 89, 187901 (2002).
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A. D. Greentree, B. A. Fairchild, F. M. Hossain, and S. Prawer, "Diamond integrated quantum photonics," Mater. Today 11, 22-31 (2008).

A. M. Stephens, Z. W. E. Evans, S. J. Devitt, A. D. Greentree, A. G. Fowler, W. J. Munro, J. L. O’Brien, K. Nemoto, and L. C. L. Hollenberg, "Deterministic optical quantum computer using photonic modules," Phys. Rev. A 78, 032318 (2008).

C.-H. Su, A. D. Greentree, and L. C. L. Hollenberg, "Towards a picosecond transform-limited nitrogen-vacancy based single-photon source," Opt. Express 16, 6240 (2008).
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C.-H. Su, A. D. Greentree, W. J. Munro, K. Nemoto, and L. C. L. Hollenberg, "High-speed quantum gates with cavity quantum electrodynamics," Phys. Rev. A 78, 062336 (2008).

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).

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, "Room-temperature coherent coupling of single spins in diamond," Nat. Phys. 2, 408-413 (2006).

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

P. Olivero, S. Rubanov, P. Reichart, B. C. Gibson, S. T. Huntington, J. Rabeau, A. D. Greentree, J. Salzman, D. Moore, D. N. Jamieson, S. Prawer, "Ion-beam-assisted lift-off technique for three-dimensional micromachining of freestanding single-crystal diamond," Adv. Mater. 17, 2427-2430 (2005).

Gruber, A.

F. Jelezko, T. Gaebel, I. Popa, M. Domham, A. Gruber, and J. Wrachtrup, "Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate," Phys. Rev. Lett. 93, 130501 (2004).
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J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
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Hagley, E.

X. Maître, E. Hagley, G. Nogues, C. Wunderlich, P. Goy, M. Brune, J. M. Raimond, and S. Haroche, "Quantum memory with a single photon in a cavity," Phys. Rev. Lett. 79, 769-772 (1997).

Hamer, M. F.

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).

Hanke, T.

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
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Hanson, R.

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).

Haroche, S.

X. Maître, E. Hagley, G. Nogues, C. Wunderlich, P. Goy, M. Brune, J. M. Raimond, and S. Haroche, "Quantum memory with a single photon in a cavity," Phys. Rev. Lett. 79, 769-772 (1997).

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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).

Hartmann, M. J.

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

Hemmer, P. R.

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
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T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, "Room-temperature coherent coupling of single spins in diamond," Nat. Phys. 2, 408-413 (2006).

Hiscocks, M. P.

Hodges, J. S.

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
[PubMed]

Hollenberg, L. C. L.

C.-H. Su, A. D. Greentree, and L. C. L. Hollenberg, "Towards a picosecond transform-limited nitrogen-vacancy based single-photon source," Opt. Express 16, 6240 (2008).
[PubMed]

A. M. Stephens, Z. W. E. Evans, S. J. Devitt, A. D. Greentree, A. G. Fowler, W. J. Munro, J. L. O’Brien, K. Nemoto, and L. C. L. Hollenberg, "Deterministic optical quantum computer using photonic modules," Phys. Rev. A 78, 032318 (2008).

C.-H. Su, A. D. Greentree, W. J. Munro, K. Nemoto, and L. C. L. Hollenberg, "High-speed quantum gates with cavity quantum electrodynamics," Phys. Rev. A 78, 062336 (2008).

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).

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

Holm, A. M.

K.-M. C. Fu, C. Santori, P. E. Barclay, I. Aharonovich, S. Prawer, N. Meyer, A. M. Holm, and R. G. Beausoleil, "Coupling of nitrogen-vacancy centers in diamond to a GaP waveguide," Appl. Phys. Lett. 93, 234107 (2008).

Hong, C.

Hong, S.

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
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Hossain, F. M.

A. D. Greentree, B. A. Fairchild, F. M. Hossain, and S. Prawer, "Diamond integrated quantum photonics," Mater. Today 11, 22-31 (2008).

Hu, E. L.

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).

Huntington, S.

B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

Huntington, S. T.

M. P. Hiscocks, K. Ganesan, B. C. Gibson, S. T. Huntington, F. Ladouceur and S. Prawer, "Diamond waveguides fabricated by reactive ion etching," Opt. Express 16, 19512-19519 (2008).
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P. Olivero, S. Rubanov, P. Reichart, B. C. Gibson, S. T. Huntington, J. Rabeau, A. D. Greentree, J. Salzman, D. Moore, D. N. Jamieson, S. Prawer, "Ion-beam-assisted lift-off technique for three-dimensional micromachining of freestanding single-crystal diamond," Adv. Mater. 17, 2427-2430 (2005).

Jamieson, D. N.

B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

P. Olivero, S. Rubanov, P. Reichart, B. C. Gibson, S. T. Huntington, J. Rabeau, A. D. Greentree, J. Salzman, D. Moore, D. N. Jamieson, S. Prawer, "Ion-beam-assisted lift-off technique for three-dimensional micromachining of freestanding single-crystal diamond," Adv. Mater. 17, 2427-2430 (2005).

Jelezko, F.

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J. Butler and A. V. Sumant, "The CVD of nanodiamond materials," Chem. Vapor Depos. 14, 145-160 (2008).

Sun, R.

Tahan, C.

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

Taylor, J. M.

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
[PubMed]

Taylor, R. A.

B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

Tisler, J.

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
[PubMed]

Togan, E.

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
[PubMed]

Tomljenovic-Hanic, S.

Treussart, F.

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).

Twamley, J.

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, "Room-temperature coherent coupling of single spins in diamond," Nat. Phys. 2, 408-413 (2006).

Vahala, K. J.

K. J. Vahala, "Optical microcavities," Nature 424, 839-846 (2003).
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S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, "Ultralow-threshold Raman laser using a spherical dielectric microcavity," Nature 415, 621-623 (2002).
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van Loock, P.

T. P Spiller, K. Nemoto, S. L. Braunstein, W. J. Munro, P. van Loock, and G. J. Milburn, "Quantum computation by communication," New J. Phys. 8, 30 (2006).

Velha, P.

Villing, A.

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

B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

Walsworth, R. L.

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
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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).

Wang, C. F.

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).

Weinfurter, H.

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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T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, "Room-temperature coherent coupling of single spins in diamond," Nat. Phys. 2, 408-413 (2006).

Wojcik, A.

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
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G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
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F. Jelezko, T. Gaebel, I. Popa, M. Domham, A. Gruber, and J. Wrachtrup, "Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate," Phys. Rev. Lett. 93, 130501 (2004).
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X. Maître, E. Hagley, G. Nogues, C. Wunderlich, P. Goy, M. Brune, J. M. Raimond, and S. Haroche, "Quantum memory with a single photon in a cavity," Phys. Rev. Lett. 79, 769-772 (1997).

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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).

Zarda, P.

C. Kurtsiefer, S. Mayer, P. Zarda, and H. Weinfurter, "Stable solid-state source of single-photons," Phys. Rev. Lett. 85, 290-293 (2000).
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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).

Zibrov, A. S.

J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
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B. A. Fairchild, P. Olivero, S. Rubanov, A. D. Greentree, F. Waldermann, R. A. Taylor, I. Walmsley, J. M. Smith, S. Huntington, B. C. Gibson, D. N. Jamieson and S. Prawer, "Fabrication of ultrathin single-crystal diamond membranes," Adv. Mater. 20, 4793-4798 (2008).

Appl. Phys. Lett.

K.-M. C. Fu, C. Santori, P. E. Barclay, I. Aharonovich, S. Prawer, N. Meyer, A. M. Holm, and R. G. Beausoleil, "Coupling of nitrogen-vacancy centers in diamond to a GaP waveguide," Appl. Phys. Lett. 93, 234107 (2008).

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Eur. Phys. J. Appl. Phys.

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Mater. Today

A. D. Greentree, B. A. Fairchild, F. M. Hossain, and S. Prawer, "Diamond integrated quantum photonics," Mater. Today 11, 22-31 (2008).

Nat. Photonics

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

Nat. Phys.

T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer, and J. Wrachtrup, "Room-temperature coherent coupling of single spins in diamond," Nat. Phys. 2, 408-413 (2006).

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

Nature

S. M. Spillane, T. J. Kippenberg, and K. J. Vahala, "Ultralow-threshold Raman laser using a spherical dielectric microcavity," Nature 415, 621-623 (2002).
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K. J. Vahala, "Optical microcavities," Nature 424, 839-846 (2003).
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J. R. Maze, P. L. Stanwix, J. S. Hodges, S. Hong, J. M. Taylor, P. Cappellaro, L. Jiang, M. V. Gurudev Dutt, E. Togan, A. S. Zibrov, A. Yacoby, R. L. Walsworth, and M. D. Lukin, "Nanoscale magnetic sensing with an individual electronic spin in diamond," Nature 455, 644- 647 (2008).
[PubMed]

G. Balasubramanian, I. Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krüger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, and J. Wrachtrup, "Nanoscale imaging magnetometry with diamond spins under ambient conditions," Nature 455, 648-651 (2008).
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Nature Phys.

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

New J. Phys.

T. P Spiller, K. Nemoto, S. L. Braunstein, W. J. Munro, P. van Loock, and G. J. Milburn, "Quantum computation by communication," New J. Phys. 8, 30 (2006).

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).

Opt. Express

G. Cui and M. Raymer, "Quantum efficiency of single-photon sources in the cavity-QED strong-coupling regime," Opt. Express 13, 9660-9665 (2005).
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M. P. Hiscocks, K. Ganesan, B. C. Gibson, S. T. Huntington, F. Ladouceur and S. Prawer, "Diamond waveguides fabricated by reactive ion etching," Opt. Express 16, 19512-19519 (2008).
[PubMed]

R. Sun, P. Dong, N. Feng, C. Hong, J. Michel, M. Lipson, and L. Kimerling, "Horizontal single and multiple slot waveguides: optical transmission at ? = 1550 nm," Opt. Express 15, 17967-17972 (2007).
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A. Gondarenko and M. Lipson, "Low modal volume dipole-like dielectric slab resonator," Opt. Express 16, 17689 (2008).
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P. Velha, E. Picard, T. Charvolin, E. Hadji1, J. C. Rodier, P. Lalanne and D. Peyrade, "Ultra-High Q/V Fabry-Perot microcavity on SOI substrate," Opt. Express 15, 16090-16096 (2007).
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C.-H. Su, A. D. Greentree, and L. C. L. Hollenberg, "Towards a picosecond transform-limited nitrogen-vacancy based single-photon source," Opt. Express 16, 6240 (2008).
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S. Tomljenovic-Hanic, M. J. Steel, C. Martijn de Sterke, and J. Salzman, "Diamond based photonic crystal microcavities," Opt. Express 14, 3556-3562 (2006).
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M. W. McCutcheon and M. Lon?ar, "Design of a silicon nitride photonic crystal nanocavity with a Quality factor of one million for coupling to a diamond nanocrystal," Opt. Express 16, 19137-19145 (2008).

I. Bayn, and J. Salzman, "Ultra high-Q photonic crystal nanocavity design: "The effect of a low-? slab material," Opt. Express 16, 4972-4980 (2008).
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S. Tomljenovic-Hanic, A. D. Greentree, C. Martijn de Sterke, and S. Prawer, "Design of flexible ultrahigh-Q microcavities in diamond-based photonic crystal slabs," Opt. Express 17, 6465-6475 (2009).
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Phys. Rev. A

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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).

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T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, "Decoherence, continuous observation, and quantum computing: A cavity QED model," Phys. Rev. Lett. 75, 3788-791 (1995);
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Figures (4)

Fig. 1.
Fig. 1.

Schematic of a slot-waveguide cavity (SWC). (a) Cross-section through the slot-waveguide structure in the xy-plane going through the diamond bridge, which is centrally located as indicated in the diagram. Note the rectangular slots of high-index material defining the cavity-structure and the smaller diamond region. (b) Slot waveguide combined with distributed Bragg reflectors defines a resonant structure with length l = λ/2. A diamond optical centre, e.g. NV defect, housed in a nanocrystal or diamond bridge can be coupled to the cavity mode.

Fig. 2.
Fig. 2.

Fundamental quasi-TE mode of diamond-air slot waveguides. (a,c) Energy density, (b,d) E x distributions for fundamental mode for a {ws , wR , h} = {20,140,110} nm empty slot and a {20,120,130} nm slot with a 20 nm high, cavity-long bridge respectively. The x-component of respective per-photon electric field amplitudes, εx , at slot or bridge centre are given in Table 1. Note the reduction in electric field in the vicinity of the bridge in (d), however this is still greater than for the λ3-cavity case.

Fig. 3.
Fig. 3.

(a). Field amplitude Ex (r 0) for varying rod dimensions of a diamond-air structure with slot width wS = 20 nm. (b) Ex (r 0) for different wS and various slot waveguide designs using optimal rod designs given in Table 1. Hollow and solid circles denote data points for designs with and without a 20 nm diamond bridge, respectively. Dashed lines are guides for eyes.

Fig. 4.
Fig. 4.

(a). Mode volumes of fundamental quasi-TE mode normalized by the typical volume of a diamond-based λ3-cavity, (λ/n dia)3 and (b) Normalized per-photon electric field amplitude x and Rabi frequency g(r 0) with the ZPL transition of the NV, as a function of slot width wS for various slot-waveguide designs. The rod specifications and notations follow Fig. 3(b). The dotted line denotes the corresponding field and coupling strength for the λ3-cavity.

Tables (1)

Tables Icon

Table 1. Optimal designs for maximizing Ex (r 0) in various slot-waveguides with 20 nm slot width.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

( r ) = ħ ω i ξ ( r ) 2 ε 0 n ( r ) 2 V ,
V = n ( r ) 2 E ( r ) 2 d 3 r n ( ρ ) 2 E ( ρ ) 2 .

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