## Quantum structures in nonlinear optics and atomic physics: a background overview

Optics Express, Vol. 3, Issue 2, pp. 60-62 (1998)

http://dx.doi.org/10.1364/OE.3.000060

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### Abstract

A brief overview of quantum effects in spatial structures such as nonlinear optical patterns, chains of trapped ions and atoms in optical lattices is presented. Some of the main results of the contributions to this Focus Issue are also briefly described.

© Optical Society of America

## Introduction

## Quantum Structures in Optical Pattern Formation

5. M. Santagiustina, P. Colet, M. SanMiguel, and D. Walgraef, “Growth dynamics of noise-sustained structures in nonlinear optical resonators” Opt. Express **3**, 63–70 (1998). http://www.osa.org/oearchive/source/4451.htm [CrossRef] [PubMed]

5. M. Santagiustina, P. Colet, M. SanMiguel, and D. Walgraef, “Growth dynamics of noise-sustained structures in nonlinear optical resonators” Opt. Express **3**, 63–70 (1998). http://www.osa.org/oearchive/source/4451.htm [CrossRef] [PubMed]

6. M. Marte, H. Ritsch, K.I. Petsas, A. Gatti, L.A. Lugiato, C. Fabre, and D. Leduc, “Spatial patterns in optical parametric oscillators with spherical mirrors: classical and quantum effects” Opt. Express **3**, 71–80 (1998). http://www.osa.org/oearchive/source/4471.htm [CrossRef] [PubMed]

6. M. Marte, H. Ritsch, K.I. Petsas, A. Gatti, L.A. Lugiato, C. Fabre, and D. Leduc, “Spatial patterns in optical parametric oscillators with spherical mirrors: classical and quantum effects” Opt. Express **3**, 71–80 (1998). http://www.osa.org/oearchive/source/4471.htm [CrossRef] [PubMed]

7. B.M. Jost, A.V. Sergienko, A.F. Abouraddy, B.E.A. Saleh, and M.C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera” Opt. Express **3**, 81–88 (1998). http://www.osa.org/oearchive/source/4652.htm [CrossRef] [PubMed]

7. B.M. Jost, A.V. Sergienko, A.F. Abouraddy, B.E.A. Saleh, and M.C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera” Opt. Express **3**, 81–88 (1998). http://www.osa.org/oearchive/source/4652.htm [CrossRef] [PubMed]

## Quantum Structures in Atomic Physics

8. H.C. Nägerl, D. Leibfried, F. Schmidt-Kaler, J. Eschner, and R. Blatt, “Coherent excitation of normal modes in a string of Ca+ ions” Opt. Express **3**, 89–96 (1998). http://www.osa.org/oearchive/source/4515.htm [CrossRef]

8. H.C. Nägerl, D. Leibfried, F. Schmidt-Kaler, J. Eschner, and R. Blatt, “Coherent excitation of normal modes in a string of Ca+ ions” Opt. Express **3**, 89–96 (1998). http://www.osa.org/oearchive/source/4515.htm [CrossRef]

8. H.C. Nägerl, D. Leibfried, F. Schmidt-Kaler, J. Eschner, and R. Blatt, “Coherent excitation of normal modes in a string of Ca+ ions” Opt. Express **3**, 89–96 (1998). http://www.osa.org/oearchive/source/4515.htm [CrossRef]

## Acknowledgments

## References and links

1. | Special Issue on “Nonlinear Optical Structures, Patterns and Chaos,” edited by L.A. Lugiato, in |

2. | A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, Phys. Rev. A |

3. | M.I. Kolobov and I.V. Sokolov, Sov. Phys. JETP |

4. | A. Gatti and L.A. Lugiato, Phys. Rev. A |

5. | M. Santagiustina, P. Colet, M. SanMiguel, and D. Walgraef, “Growth dynamics of noise-sustained structures in nonlinear optical resonators” Opt. Express |

6. | M. Marte, H. Ritsch, K.I. Petsas, A. Gatti, L.A. Lugiato, C. Fabre, and D. Leduc, “Spatial patterns in optical parametric oscillators with spherical mirrors: classical and quantum effects” Opt. Express |

7. | B.M. Jost, A.V. Sergienko, A.F. Abouraddy, B.E.A. Saleh, and M.C. Teich, “Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera” Opt. Express |

8. | H.C. Nägerl, D. Leibfried, F. Schmidt-Kaler, J. Eschner, and R. Blatt, “Coherent excitation of normal modes in a string of Ca+ ions” Opt. Express |

9. | L. Guidoni, C. Trichè, P. Verkerk, and G. Grynberg, Phys. Rev. Lett. |

10. | T. Müller-Seydlitz et al., Phys. Rev. Lett. |

11. | M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. |

12. | S.R. Wilkinson, C.F. Bharucha, K.W. Madison, Q. Niu, and M.G. Raizen, Phys. Rev. Lett. |

13. | S. Friebel, J. Waltz, M. Weitz, and T.W. Hänsen, Phys. Rev. A |

14. | S. Friebel, PhD thesis, Ludwig-Maximilian Universität Munich (1998). |

15. | S. Schlipf, H. Katori, L. Perotti, and H. Walther, “Diffusion of a Single-Ion in a One-Dimensional Optical Lattice” Opt. Express |

**OCIS Codes**

(020.0020) Atomic and molecular physics : Atomic and molecular physics

(190.0190) Nonlinear optics : Nonlinear optics

(270.0270) Quantum optics : Quantum optics

**ToC Category:**

Focus Issue: Quantum structures in nonlinear optics and atomic physics

**History**

Original Manuscript: July 16, 1998

Published: July 20, 1998

**Citation**

Luigi Lugiato and Gian-Luca Oppo, "Quantum structures in nonlinear optics and
atomic physics: a background overview," Opt. Express **3**, 60-62 (1998)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-3-2-60

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### References

- Special Issue on "Nonlinear Optical Structures, Patterns and Chaos," edited by L.A. Lugiato,in Chaos, Solitons and Fractals, 4, 1249-1844 (1994).
- A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, Phys. Rev. A 56, 877 (1997). [CrossRef]
- M.I. Kolobov and I.V. Sokolov, Sov. Phys. JETP 69, 1097 (1989).
- A. Gatti and L.A. Lugiato, Phys. Rev. A 52, 1675 (1995). [CrossRef] [PubMed]
- M. Santagiustina, P. Colet, M. SanMiguel, and D. Walgraef, "Growth dynamics of noise-sustained structures in nonlinear optical resonators" Opt. Express 3, 63-70 (1998). http://www.osa.org/oearchive/source/4451.htm [CrossRef] [PubMed]
- M. Marte, H. Ritsch, K.I. Petsas, A. Gatti, L.A. Lugiato, C. Fabre and D. Leduc, "Spatial patterns in optical parametric oscillators with spherical mirrors: classical and quantum effects" Opt. Express 3, 71-80 (1998). http://www.osa.org/oearchive/source/4471.htm [CrossRef] [PubMed]
- B.M. Jost, A.V. Sergienko, A.F. Abouraddy, B.E.A. Saleh, and M.C. Teich, "Spatial correlations of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera" Opt. Express 3, 81-88 (1998). http://www.osa.org/oearchive/source/4652.htm [CrossRef] [PubMed]
- H.C. Nagerl, D. Leibfried, F. Schmidt-Kaler, J. Eschner, and R. Blatt, "Coherent excitation of normal modes in a string of Ca+ ions" Opt. Express 3, 89-96 (1998). http://www.osa.org/oearchive/source/4515.htm [CrossRef]
- L. Guidoni, C. Trich‚, P. Verkerk, and G. Grynberg, Phys. Rev. Lett. 79, 3363 (1997). [CrossRef]
- T. Muller-Seydlitz et al., Phys. Rev. Lett. 78, 1038, (1997). [CrossRef]
- M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. 76 4508 (1996). [CrossRef] [PubMed]
- S.R. Wilkinson, C.F. Bharucha, K.W. Madison, Q. Niu, and M.G. Raizen, Phys. Rev. Lett. 76, 4512 (1996). [CrossRef] [PubMed]
- S. Friebel, J. Waltz, M. Weitz, and T.W. Hansch, Phys. Rev. A 57, R20 (1998). [CrossRef]
- S. Friebel, PhD thesis, Ludwig-Maximilian Universitat Munich (1998).
- S. Schlipf, H. Katori, L. Perotti, and H. Walther, "Diffusion of a single-ion in a one-dimensional optical lattice" Opt. Express 3, 97-103 (1998). http://www.osa.org/oearchive/source/5557.htm [CrossRef] [PubMed]

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