Observation of attraction between dark solitons.

We demonstrate a dramatic change in the interaction forces between dark solitons in nonlocal nonlinear media. We present what we believe is the first experimental evidence of attraction of dark solitons. Our results indicate that attraction should be observable in other nonlocal systems, such as Bose-Einstein condensates with repulsive long-range interparticle interaction.

[1]  Blasberg,et al.  Stabilization of transverse solitary waves by a nonlocal response of the nonlinear medium. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[2]  Marco Peccianti,et al.  Spatial solitons in nematic liquid crystals , 2003 .

[3]  Sergei K. Turitsyn,et al.  Spatial dispersion of nonlinearity and stability of multidimensional solitons , 1985 .

[4]  N. Doran,et al.  Multiple dark soliton solutions of the nonlinear Schrödinger equation , 1985 .

[5]  Phillips,et al.  Generating solitons by phase engineering of a bose-einstein condensate , 2000, Science.

[6]  Ole Bang,et al.  Collapse arrest and soliton stabilization in nonlocal nonlinear media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  O. Bang,et al.  Quadratic solitons as nonlocal solitons. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  A. Griesmaier,et al.  Bose-Einstein condensation of chromium. , 2005, Physical review letters.

[9]  L. Windholz,et al.  Generation and intrinsic dynamics of ring dark solitary waves , 1997 .

[10]  Michel Remoissenet,et al.  Waves called solitons , 1994 .

[11]  D R Andersen,et al.  Direct measurement of the transverse velocity of dark spatial solitons. , 1990, Optics letters.

[12]  Regan,et al.  Spatial dark-soliton stripes and grids in self-defocusing materials. , 1991, Physical review letters.

[13]  Marco Peccianti,et al.  Route to nonlocality and observation of accessible solitons. , 2003, Physical Review Letters.

[14]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[15]  Randall G. Hulet,et al.  Formation and propagation of matter-wave soliton trains , 2002, Nature.

[16]  D. R. Andersen,et al.  Dark spatial soliton propagation in bulk ZnSe , 1991 .

[17]  Ole Bang,et al.  Generic features of modulational instability in nonlocal Kerr media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  D. J. Frantzeskakis,et al.  Analogies between dark solitons in atomic Bose-Einstein condensates and optical systems , 2004 .

[19]  Marco Peccianti,et al.  Nonlocal spatial soliton interactions in nematic liquid crystals. , 2002, Optics letters.

[20]  Yuri S. Kivshar,et al.  Lagrangian approach for dark solitons , 1995 .

[21]  Adrian Ankiewicz,et al.  Solitons : nonlinear pulses and beams , 1997 .

[22]  A paraxial model for optical self-focussing in a nematic liquid crystal , 1995 .

[23]  O. Bang,et al.  INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF OPTICS B: QUANTUM AND SEMICLASSICAL OPTICS , 2004 .

[24]  E Bourkoff,et al.  Interactions between dark solitons. , 1989, Optics letters.

[25]  Yuri S. Kivshar,et al.  Dark optical solitons: physics and applications , 1998 .

[26]  S. Burger,et al.  Dark solitons in Bose-Einstein condensates , 1999, QELS 2000.

[27]  Luca Salasnich,et al.  Structure and stability of bosonic clouds: Alkali-metal atoms with negative scattering length , 1998 .

[28]  Philippe Emplit,et al.  Picosecond steps and dark pulses through nonlinear single mode fibers , 1987 .

[29]  Ole Bang,et al.  Attraction of nonlocal dark optical solitons. , 2004, Optics letters.

[30]  H. Walther,et al.  Generation of multiple-charged optical vortex solitons in a saturable nonlinear medium. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[31]  Ole Bang,et al.  Ring vortex solitons in nonlocal nonlinear media , 2005 .