Abstract

Diamond nanocrystals containing NV color centers are positioned with 100-nanometer-scale accuracy in the near-field of a high-Q SiO2 microdisk cavity using a fiber taper. The cavity modified nanocrystal photoluminescence is studied, with Fano-like quantum interference features observed in the far-field emission spectrum. A quantum optical model of the system is proposed and fit to the measured spectra, from which the NV-zero phonon line coherent coupling rate to the microdisk is estimated to be 28 MHz for a nearly optimally placed nanocrystal.

© 2009 Optical Society of America

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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]

2008 (3)

S. Schietinger, T. Schroder, and O. Benson, “One-by-One Coupling of Single Defect Centers in Nanodiamonds to High-Q Modes of an Optical Microresonator,” Nano Lett. 8, 3911–3915 (2008).
[Crossref] [PubMed]

M. W. McCutcheon and M. Loncar, “Design of an ultrahigh Quality factor silicon nitride photonic crystal nanocavity with a Quality factor of one million for coupling to a diamond nanocrystal,” Opt. Express 16, 19 136–19 145 (2008).
[Crossref]

Y. Shen, T. M. Sweeney, and H. Wang, “Zero-phonon linewidth of single nitrogen vacancy centers in diamond nanocrystals,” Phys. Rev. B 77, 033 201 (2008).
[Crossref]

2007 (5)

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, “Controlled Coupling of Counterpropagating Whispering-Gallery Modes by a Single Rayleigh Scatterer: A Classical Problem in a Quantum Optical Light,” Phys. Rev. Lett. 99, 173 603 (2007).
[Crossref]

R. Harbers, S. Jochim, N. Moll, R. F. Mahrt, D. Erni, J. A. Hoffnagle, and W. D. Hinsberg, “Control of Fano line shapes by means of photonic crystal structures in a dye-doped polymer,” Appl. Phys. Lett. 90, 201 105 (2007).
[Crossref]

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
[Crossref] [PubMed]

C. F. Wang, Y.-S. Choi, J. C. Lee, E. L. Hu, J. Yang, and J. E. Butler, “Observation of whispering gallery modes in nanocrystalline diamond microdisks,” Appl. Phys. Lett. 90, 081 110 (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, 201 112 (2007).

2006 (5)

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
[Crossref]

L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
[Crossref] [PubMed]

P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(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, 104 303 (2006).
[Crossref]

Y.-S. Park, A. Cook, and H. Wang, “Cavity QED with Diamond Nanocrystals and Silica Microspheres,” Nano Lett. 6, 2075–2079 (2006).
[Crossref] [PubMed]

2005 (2)

M. Borselli, T. J. Johnson, and O. Painter, “Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment,” Opt. Expr. 13, 1515–1530 (2005).
[Crossref]

F. L. Kien, S. D. Gupta, V. I. Balykin, and K. Hakuta, “Spontaneous emission of a cesium atom near a nanofiber: Efficient coupling of light to guided modes,” Phys. Rev. A 72, 032 509 (2005).

2004 (3)

L. M. Duan and H. J. Kimble, “Scalable Photonic Quantum Computation through Cavity-Assisted Interactions,” Phys. Rev. Lett. 12, 127 902 (2004).

V. V. Klimov and M. Ducloy, “Spontaneous emission rate of an excited atom placed near a nanofiber,” Phys. Rev. A 69, 013 812 (2004).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
[Crossref]

2003 (4)

S. Fan, W. Suh, and J. D. Joannopoulos, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20, 569–572 (2003).
[Crossref]

C.-Y. Chao and L. J. Guo, “Biochemical sensors based on polymer microrings with sharp asymmetrical resonance,” Appl. Phys. Lett. 83, 1527–1529 (2003).
[Crossref]

A. R. Cowan and J. F. Young, “Optical bistability involving photonic crystal microcavities and Fano line shapes,” Phys. Rev. E 68, 046 606 (2003).
[Crossref]

J. P. Mondia, H. M. van Driel, W. Jiang, A. R. Cowan, and J. F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt. Lett. 28, 2500–2502 (2003).
[Crossref] [PubMed]

2002 (2)

H. Mabuchi and A. C. Doherty, “Cavity Quantum Electrodynamics: Coherence in Context,” Science 298, 1372–1377 (2002).
[Crossref] [PubMed]

T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Modal coupling in traveling-wave resonators,” Opt. Lett. 27, 1669–1671 (2002).
[Crossref]

2001 (2)

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrys-tals,” Phys. Rev. A 64, 061 802 (2001).
[Crossref]

S. Kühn, C. Hettich, C. Schmitt, J-PH. Poizat, and V. Sandoghdar, “Diamond colour centres as a nanoscopic light source for scanning near field microscopy,” J. Microsc. 202, 2–6 (2001).
[Crossref] [PubMed]

1997 (2)

J. Knight, G. Cheung, F. Jacques, and T. Birks, “Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper,” Opt. Lett. 22, 1129–1131 (1997).
[Crossref] [PubMed]

A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (1997).
[Crossref]

1996 (2)

1995 (1)

1989 (1)

H. J. Carmichael, R. J. Brecha, M. G. Raizen, H. J. Kimble, and P. R. Rice, “Subnatural linewidth averaging for coupled atomic and cavity-mode oscillators,” Phys. Rev. A 40, 5516–5519 (1989).
[Crossref] [PubMed]

1983 (1)

M. Kuznetsov and H. A. Haus, “Radiation Loss in Dielectric Waveguide Structures by the Volume Current Method,” IEEE J. Quantum Electron. 19, 1505–1514 (1983).
[Crossref]

1974 (1)

G. Davies, “Vibronic spectra in diamond,” J. Phys. C: Solid State Phys. 7, 3797–3809 (1974).
[Crossref]

1961 (1)

U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

1902 (1)

R. W. Wood, “On the remarkable case of uneven distribution of a light in a diffractived grating spectrum,” Philos. Mag. 4, 396–402 (1902).

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, 201 112 (2007).

Balykin, V. I.

F. L. Kien, S. D. Gupta, V. I. Balykin, and K. Hakuta, “Spontaneous emission of a cesium atom near a nanofiber: Efficient coupling of light to guided modes,” Phys. Rev. A 72, 032 509 (2005).

Beausoleil, R. G.

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
[Crossref]

Benson, O.

S. Schietinger, T. Schroder, and O. Benson, “One-by-One Coupling of Single Defect Centers in Nanodiamonds to High-Q Modes of an Optical Microresonator,” Nano Lett. 8, 3911–3915 (2008).
[Crossref] [PubMed]

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, “Controlled Coupling of Counterpropagating Whispering-Gallery Modes by a Single Rayleigh Scatterer: A Classical Problem in a Quantum Optical Light,” Phys. Rev. Lett. 99, 173 603 (2007).
[Crossref]

Beveratos, A.

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrys-tals,” Phys. Rev. A 64, 061 802 (2001).
[Crossref]

Birks, T.

Borczyskowski, C. v.

A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (1997).
[Crossref]

Borselli, M.

M. Borselli, T. J. Johnson, and O. Painter, “Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment,” Opt. Expr. 13, 1515–1530 (2005).
[Crossref]

Brecha, R. J.

H. J. Carmichael, R. J. Brecha, M. G. Raizen, H. J. Kimble, and P. R. Rice, “Subnatural linewidth averaging for coupled atomic and cavity-mode oscillators,” Phys. Rev. A 40, 5516–5519 (1989).
[Crossref] [PubMed]

Brouri, R.

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrys-tals,” Phys. Rev. A 64, 061 802 (2001).
[Crossref]

Butler, J. E.

C. F. Wang, Y.-S. Choi, J. C. Lee, E. L. Hu, J. Yang, and J. E. Butler, “Observation of whispering gallery modes in nanocrystalline diamond microdisks,” Appl. Phys. Lett. 90, 081 110 (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, 201 112 (2007).

Carmichael, H. J.

H. J. Carmichael, R. J. Brecha, M. G. Raizen, H. J. Kimble, and P. R. Rice, “Subnatural linewidth averaging for coupled atomic and cavity-mode oscillators,” Phys. Rev. A 40, 5516–5519 (1989).
[Crossref] [PubMed]

H. J. Carmichael, Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Springer, 1999), 1st edn.

Chao, C.-Y.

C.-Y. Chao and L. J. Guo, “Biochemical sensors based on polymer microrings with sharp asymmetrical resonance,” Appl. Phys. Lett. 83, 1527–1529 (2003).
[Crossref]

Cheung, G.

Childress, L.

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
[Crossref] [PubMed]

L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
[Crossref] [PubMed]

Choi, Y.-S.

C. F. Wang, Y.-S. Choi, J. C. Lee, E. L. Hu, J. Yang, and J. E. Butler, “Observation of whispering gallery modes in nanocrystalline diamond microdisks,” Appl. Phys. Lett. 90, 081 110 (2007).
[Crossref]

Chu, S. T.

Cook, A.

Y.-S. Park, A. Cook, and H. Wang, “Cavity QED with Diamond Nanocrystals and Silica Microspheres,” Nano Lett. 6, 2075–2079 (2006).
[Crossref] [PubMed]

Cowan, A. R.

A. R. Cowan and J. F. Young, “Optical bistability involving photonic crystal microcavities and Fano line shapes,” Phys. Rev. E 68, 046 606 (2003).
[Crossref]

J. P. Mondia, H. M. van Driel, W. Jiang, A. R. Cowan, and J. F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt. Lett. 28, 2500–2502 (2003).
[Crossref] [PubMed]

Davies, G.

G. Davies, “Vibronic spectra in diamond,” J. Phys. C: Solid State Phys. 7, 3797–3809 (1974).
[Crossref]

de S. Menezes, L.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, “Controlled Coupling of Counterpropagating Whispering-Gallery Modes by a Single Rayleigh Scatterer: A Classical Problem in a Quantum Optical Light,” Phys. Rev. Lett. 99, 173 603 (2007).
[Crossref]

Doherty, A. C.

H. Mabuchi and A. C. Doherty, “Cavity Quantum Electrodynamics: Coherence in Context,” Science 298, 1372–1377 (2002).
[Crossref] [PubMed]

Domhan, M.

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
[Crossref]

Dräbenstedt, A.

A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (1997).
[Crossref]

Duan, L. M.

L. M. Duan and H. J. Kimble, “Scalable Photonic Quantum Computation through Cavity-Assisted Interactions,” Phys. Rev. Lett. 12, 127 902 (2004).

Ducloy, M.

V. V. Klimov and M. Ducloy, “Spontaneous emission rate of an excited atom placed near a nanofiber,” Phys. Rev. A 69, 013 812 (2004).
[Crossref]

Dutt, M. V. G.

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
[Crossref] [PubMed]

Erni, D.

R. Harbers, S. Jochim, N. Moll, R. F. Mahrt, D. Erni, J. A. Hoffnagle, and W. D. Hinsberg, “Control of Fano line shapes by means of photonic crystal structures in a dye-doped polymer,” Appl. Phys. Lett. 90, 201 105 (2007).
[Crossref]

Fan, S.

Fano, U.

U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

Fattal, D.

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
[Crossref]

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, 201 112 (2007).

Fleury, L.

A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (1997).
[Crossref]

Gacoin, T.

A. Beveratos, R. Brouri, T. Gacoin, J.-P. Poizat, and P. Grangier, “Nonclassical radiation from diamond nanocrys-tals,” Phys. Rev. A 64, 061 802 (2001).
[Crossref]

Gaebel, T.

P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
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P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
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A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (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, 201 112 (2007).

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R. Harbers, S. Jochim, N. Moll, R. F. Mahrt, D. Erni, J. A. Hoffnagle, and W. D. Hinsberg, “Control of Fano line shapes by means of photonic crystal structures in a dye-doped polymer,” Appl. Phys. Lett. 90, 201 105 (2007).
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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, 104 303 (2006).
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M. Kuznetsov and H. A. Haus, “Radiation Loss in Dielectric Waveguide Structures by the Volume Current Method,” IEEE J. Quantum Electron. 19, 1505–1514 (1983).
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P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
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M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
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L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
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S. Kühn, C. Hettich, C. Schmitt, J-PH. Poizat, and V. Sandoghdar, “Diamond colour centres as a nanoscopic light source for scanning near field microscopy,” J. Microsc. 202, 2–6 (2001).
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P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
[Crossref]

L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
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P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
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M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
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F. L. Kien, S. D. Gupta, V. I. Balykin, and K. Hakuta, “Spontaneous emission of a cesium atom near a nanofiber: Efficient coupling of light to guided modes,” Phys. Rev. A 72, 032 509 (2005).

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M. Kuznetsov and H. A. Haus, “Radiation Loss in Dielectric Waveguide Structures by the Volume Current Method,” IEEE J. Quantum Electron. 19, 1505–1514 (1983).
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C. F. Wang, Y.-S. Choi, J. C. Lee, E. L. Hu, J. Yang, and J. E. Butler, “Observation of whispering gallery modes in nanocrystalline diamond microdisks,” Appl. Phys. Lett. 90, 081 110 (2007).
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L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
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L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
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M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
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M. W. McCutcheon and M. Loncar, “Design of an ultrahigh Quality factor silicon nitride photonic crystal nanocavity with a Quality factor of one million for coupling to a diamond nanocrystal,” Opt. Express 16, 19 136–19 145 (2008).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
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M. Borselli, T. J. Johnson, and O. Painter, “Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment,” Opt. Expr. 13, 1515–1530 (2005).
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S. Kühn, C. Hettich, C. Schmitt, J-PH. Poizat, and V. Sandoghdar, “Diamond colour centres as a nanoscopic light source for scanning near field microscopy,” J. Microsc. 202, 2–6 (2001).
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F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
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P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
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P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
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H. J. Carmichael, R. J. Brecha, M. G. Raizen, H. J. Kimble, and P. R. Rice, “Subnatural linewidth averaging for coupled atomic and cavity-mode oscillators,” Phys. Rev. A 40, 5516–5519 (1989).
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S. Kühn, C. Hettich, C. Schmitt, J-PH. Poizat, and V. Sandoghdar, “Diamond colour centres as a nanoscopic light source for scanning near field microscopy,” J. Microsc. 202, 2–6 (2001).
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M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
[Crossref]

Wratchtrup, J.

A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (1997).
[Crossref]

Yang, J.

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, 201 112 (2007).

C. F. Wang, Y.-S. Choi, J. C. Lee, E. L. Hu, J. Yang, and J. E. Butler, “Observation of whispering gallery modes in nanocrystalline diamond microdisks,” Appl. Phys. Lett. 90, 081 110 (2007).
[Crossref]

Young, J. F.

J. P. Mondia, H. M. van Driel, W. Jiang, A. R. Cowan, and J. F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt. Lett. 28, 2500–2502 (2003).
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A. R. Cowan and J. F. Young, “Optical bistability involving photonic crystal microcavities and Fano line shapes,” Phys. Rev. E 68, 046 606 (2003).
[Crossref]

Zibrov, A. S.

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
[Crossref] [PubMed]

L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
[Crossref] [PubMed]

Zumofen, G.

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, “Controlled Coupling of Counterpropagating Whispering-Gallery Modes by a Single Rayleigh Scatterer: A Classical Problem in a Quantum Optical Light,” Phys. Rev. Lett. 99, 173 603 (2007).
[Crossref]

Appl. Phys. Lett. (4)

C.-Y. Chao and L. J. Guo, “Biochemical sensors based on polymer microrings with sharp asymmetrical resonance,” Appl. Phys. Lett. 83, 1527–1529 (2003).
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R. Harbers, S. Jochim, N. Moll, R. F. Mahrt, D. Erni, J. A. Hoffnagle, and W. D. Hinsberg, “Control of Fano line shapes by means of photonic crystal structures in a dye-doped polymer,” Appl. Phys. Lett. 90, 201 105 (2007).
[Crossref]

C. F. Wang, Y.-S. Choi, J. C. Lee, E. L. Hu, J. Yang, and J. E. Butler, “Observation of whispering gallery modes in nanocrystalline diamond microdisks,” Appl. Phys. Lett. 90, 081 110 (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, 201 112 (2007).

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M. Kuznetsov and H. A. Haus, “Radiation Loss in Dielectric Waveguide Structures by the Volume Current Method,” IEEE J. Quantum Electron. 19, 1505–1514 (1983).
[Crossref]

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S. Kühn, C. Hettich, C. Schmitt, J-PH. Poizat, and V. Sandoghdar, “Diamond colour centres as a nanoscopic light source for scanning near field microscopy,” J. Microsc. 202, 2–6 (2001).
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[Crossref]

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S. Schietinger, T. Schroder, and O. Benson, “One-by-One Coupling of Single Defect Centers in Nanodiamonds to High-Q Modes of an Optical Microresonator,” Nano Lett. 8, 3911–3915 (2008).
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Y.-S. Park, A. Cook, and H. Wang, “Cavity QED with Diamond Nanocrystals and Silica Microspheres,” Nano Lett. 6, 2075–2079 (2006).
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Opt. Expr. (1)

M. Borselli, T. J. Johnson, and O. Painter, “Beyond the Rayleigh scattering limit in high-Q silicon microdisks: theory and experiment,” Opt. Expr. 13, 1515–1530 (2005).
[Crossref]

Opt. Express (1)

M. W. McCutcheon and M. Loncar, “Design of an ultrahigh Quality factor silicon nitride photonic crystal nanocavity with a Quality factor of one million for coupling to a diamond nanocrystal,” Opt. Express 16, 19 136–19 145 (2008).
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Phys. Rev. B (2)

Y. Shen, T. M. Sweeney, and H. Wang, “Zero-phonon linewidth of single nitrogen vacancy centers in diamond nanocrystals,” Phys. Rev. B 77, 033 201 (2008).
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[Crossref]

Phys. Rev. E (1)

A. R. Cowan and J. F. Young, “Optical bistability involving photonic crystal microcavities and Fano line shapes,” Phys. Rev. E 68, 046 606 (2003).
[Crossref]

Phys. Rev. Lett. (5)

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, and P. Hemmer, “Coherent Population Trapping of Single Spins in Diamond under Optical Excitation,” Phys. Rev. Lett. 97, 247 401 (2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, M. Domhan, 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, 130 501 (2004).
[Crossref]

A. Mazzei, S. Götzinger, L. de S. Menezes, G. Zumofen, O. Benson, and V. Sandoghdar, “Controlled Coupling of Counterpropagating Whispering-Gallery Modes by a Single Rayleigh Scatterer: A Classical Problem in a Quantum Optical Light,” Phys. Rev. Lett. 99, 173 603 (2007).
[Crossref]

L. M. Duan and H. J. Kimble, “Scalable Photonic Quantum Computation through Cavity-Assisted Interactions,” Phys. Rev. Lett. 12, 127 902 (2004).

P. 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 Centers in Diamond,” Phys. Rev. Lett. 97, 083 002(2006).
[Crossref]

Science (4)

M. V. G. Dutt, L. Childress, L. Jiang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P. R. Hemmer, and M. D. Lukin, “Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond,” Science 316, 1312–1316 (2007).
[Crossref] [PubMed]

L. Childress, Gurudev Dutt M.V., J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, “Coherent Dynamics of Coupled Electron and Nuclear Spin Qubits in Diamond,” Science 314, 281–285 (2006).
[Crossref] [PubMed]

H. Mabuchi and A. C. Doherty, “Cavity Quantum Electrodynamics: Coherence in Context,” Science 298, 1372–1377 (2002).
[Crossref] [PubMed]

A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wratchtrup, and C. v. Borczyskowski, “Scanning confocal optical microscopy and magnetic resonance on single defect centers,” Science 276,2012–2014 (1997).
[Crossref]

Other (1)

H. J. Carmichael, Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Springer, 1999), 1st edn.

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Figures (5)

Fig. 1.
Fig. 1.

(a) Schematic of the nanocrystal fiber-to-microcavity positioning technique. (b) SEM image of a diamond nanocrystal positioned on the edge of a SiO2 microdisk. Illustration of the interference between direct dipole and indirect dipole-cavity radiation, (c) for a generic Fabry-Perot single-sided cavity and (d) for a microdisk cavity with nanocrystal-scattering radiation loss.

Fig. 2.
Fig. 2.

Scanning confocal microscope (SCM) images (details in [12]) of a mesa before (a) and after (b) a nanocrystal has been picked up with a fiber taper. Optical images of (c) fiber taper and attached nanocrystal aligned with microdisk edge, and (d) after nanocrystal placement. Nanocrystal imaging is aided by a white light source coupled into the fiber taper and the microdisk. (e) SCM image of microdisk after nanocrystal placement.

Fig. 3.
Fig. 3.

(a) Emission from a diamond nanocrystal attached to a fiber taper, collected through the high-NA lens in the far-field and through the fiber taper in the near-field. The fiber taper data was scaled by a factor of 1.6 to take measured fiber insertion loss into account. Peaks near λ = 690 nm are due to fluorescence in the Ge doped fiber core. (b) Measured emission when the taper interacts with a microdisk, for varying nanocrystal position relative to the microdisk and spectrometer, as indicated by the illustrations.

Fig. 4.
Fig. 4.

(a) Microdisk mode lineshapes measured by monitoring the fiber taper transmission spectrum with the taper positioned in the microdisk near-field, before (blue) and after (red) nanocrystal placement. A 850nm band tunable diode laser source (New Focus Velocity) was used to measure the taper transmission; a 630nm tunable source was not readily available at the time of the measurements. The dashed lines are fits [24] to the resonant line-shapes. Cross-sectional view of the 630 nm wavelength band (b) TM p=1 and (c) TM p=3 whispering-gallery mode profiles near the disk edge as calculated using the finite-element-method (FEM). The white outline indicates the periphery of the microdisk, with the shape of the disk profile estimated from SEM images. Only the dominant, vertical component of the electric field is plotted for clarity. The position of the nanocrystal, as placed on the disk, is indicated by the red diamond.

Fig. 5.
Fig. 5.

(a) PL from the diamond nanocrystal placed on the microdisk in Fig. 1(b), collected at room temperature through the near-field fiber taper (green) and far-field lens (blue). (b) High resolution (δλ = 20 pm) PL spectrum of the lens-collected emission around λ = 680 nm. The red curve is a fit using S lens from the text, generalized to include multiple decoupled cavity modes.

Tables (2)

Tables Icon

Table 1. Calculated mode parameters in the λ ~ 600 nm band.

Tables Icon

Table 2. Calculated mode parameters in the λ ~ 850 nm band.

Equations (52)

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Ê(r,t)=ed(r)e−iϕdγs σ̂ (t)+ec(r) eiϕc 2κ â (t)+h.c.,
S(ω)=1γpdeiϕd+ceiϕc2g2κγs11+iΔω/κ2,
Slens(ω)1γp 1+i2g2κγs11+iΔω/κ2 .
Slens(ω)=Re[0dt0dteiω(tt)Eo(r,t)ωÊo(r,t)]
ĤS=h_ωcââ+h_ωdσ̂+σ̂+ih_g(âσ̂âσ̂+),
dρ̂dt=1ih¯ [ĤS,ρ̂]+(L̂d+L̂c+L̂p)ρ̂
L̂dρ̂=γs2(2σ̂ρ̂σ̂+σ̂+σ̂ρ̂ρ̂σ̂+σ̂)
L̂cρ̂=κ(2âρ̂âââρ̂ρ̂ââ)
L̂pρ̂=γp2 (σ̂zρ̂σ̂zρ̂)
ddtâ=(iωc+κ) â+gσ̂
ddtσ̂=(iωd+γs2+γp)σ̂+gâσ̂z.
ddt' â(t)â(t)=(iωc+κ) â(t)â(t)+gâ(t)σ̂(t)
ddtâ(t)σ̂(t)=(iωd+γs2+γp) â(t)σ̂(t)gâ(t)â(t)
ddtσ̂+(t)â(t)=(c+κ) σ̂+(t)â(t) +gâ+(t)σ̂(t)
ddtσ̂+(t)σ̂(t)=(iωd+γs2+γp)σ̂+(t)σ̂(t)gσ̂+(t)â(t).
Ccd(ω)=F[â(t)σ̂(t)]=0
Ccc(ω)=F[â(t)â(t)] =g2γpγsκ1iΔω+κ
Cdd(ω)=F[σ̂+(t)σ̂(t)] =1γpγs
Cdc(ω)=F[σ̂+(t)â(t)]=gγpγs1iΔω+κ
Veff =n2(r)Ec(r)2d3rmax[n2(r)Ec(r)2],
Ec,photon (ro) =h¯ω2εon2(ro)η(ro)Veff,
μ2=3π2h_εoc3γnncω3 .
2Eμ0(ε0+δε)2Et2=0,
E(r,t)=eiω0t jaj (t)Ej0(r).
dakdt+iΔωkak(t)=ijβjkaj(t)
βjk=ω02δε(Ek0(r))*·Ej0(r)drε0Ek0(r)2dr,
dacwdt=iΔωacw(t)+iβeaccw(t)
daccwdt=iΔωaccw(t) +iβeacw(t),
β=ω02 (e+i2δε(φ,ρ,z))(Ecw0(ρ,z))2ρdρdzε0Ecw0(r)2dr .
δε=ε0(nnc21) δ(3) (rrnc)Vnc,
1QB=2βω0 =(nnc21)Vncη(rnc)Vtw,eff,
J=−iωδεE.
Arad(r)=μo4π (eik0rr) J (r) eik0r̂·r d r ,
Srad=r̂ωk02μ0r̂×Arad2=r̂ωk03(nnc21)2Vnc2ε0Ec(rnc)232π2 r̂×ê(rnc)2r2 ,
Prad=(S·r̂)r2dΩ=ωk03(nnc21)2Vnc2ε0Ec(rnc)232π2r̂×ê(rnc)2 d Ω .
Qs=3λo3η(rnc)Veff4π2(nnc21)2Vnc2 .
××E(r,t)+2t2εc(r)E(r,t)=2t2Δεn(r)E(r,t)tJs(r,t) .
E(r,t)=c(t)ec(r)eiωct+jrj(t)ej(r)eiωjt,
××ec,j(r)ωc,j2εc(r)ec,j(r)=0,
cεc(r)j=drεc(r)ec*(r)·ej(r)=0,
iεc(r)j=drεc(r)ei*(r)·ej(r)=δij,
cεc(r)c=drεc(r)ec*(r)·ej(r)=1.
ddtc(t)=jiωj22ωcKcjrj(t)ei(ωjωc)t+ωs2ωcscei(ωsωc)t,
ddtrj(t)=iωc22ωjKjcc(t)ei(ωcωj)t+ωs2ωjsjei(ωsωj)t,
Kcj=Kjc* = cΔεnj,
sc,j=c,j|Jo.
ddtc˜(t)=(κ+i(ωsωc))c˜(t)+ωs2ωcsc,
ddtr˜s(t)=ss2+sc4iωcKc*i(ωcωs)+κ ,
κc=ec*(ro)·es(ro)δεn=ei(ϕcϕS)ec*(ro)·es(ro)δεn,
sc=ec*(ro)·jo=ei(ϕcϕJ+π)ec*(ro)·jo,
ss=es*(ro)·jo=ei(ϕsϕJ+π)es*(ro)·jo,
ddtr˜s(t)=ei(ϕJϕs+π)[ss2+sc4iωcKc*i(ωcωs)+κ].

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