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Phys. Rev. A 72, 033607 (2005) [6 pages]

Quantum-noise properties of matter-wave gap solitons

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Ray-Kuang Lee1,2,3, Elena A. Ostrovskaya1, Yuri S. Kivshar1, and Yinchieh Lai2
1Nonlinear Physics Centre and ARC Centre of Excellence for Quantum-Atom Optics, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia
2Department of Photonics and Institute of Electro-Optical Engineering, National Chiao-Tung University, Hsinchu 300, Taiwan
3Department of Electrical Engineering and Institute of Photonics Technologies, National Tsing-Hua University, Hsinchu 300, Taiwan

Received 6 April 2005; published 9 September 2005

We study quantum-noise squeezing and quantum correlations of gap solitons in a Bose-Einstein condensate loaded into a one-dimensional optical lattice. By employing a linearized quantum theory we find that quantum-noise squeezing of gap solitons, produced during their evolution, is enhanced compared with the atomic solitons in a lattice-free case due to intrasoliton structure of quantum correlations induced by the Bragg scattering in the periodic potential. We also show that nonlinear interaction of gap solitons in dynamically stable bound states can produce strong atom-number correlation between the soliton pairs.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.033607
DOI:
10.1103/PhysRevA.72.033607
PACS:
03.75.Lm, 42.50.Dv
 
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