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Vector solitons with an embedded domain wall.

P G Kevrekidis1, H Susanto, R Carretero-González

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA. kevrekid@math.umass.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
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We found new soliton solutions for Bose-Einstein condensates (BECs) with domain walls. These solitons, including bright-dark pairs, are stable and have potential applications in nonlinear optics.

Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Condensed matter physics

Background:

  • Bose-Einstein condensates (BECs) are quantum states of matter.
  • Nonlinear Schrödinger equations model various physical phenomena.
  • Solitons are self-reinforcing wave packets that maintain their shape.

Purpose of the Study:

  • To find soliton solutions for coupled nonlinear Schrödinger equations.
  • To investigate solitons with intrinsic domain walls in binary BECs.
  • To analyze the stability and applications of these novel soliton solutions.

Main Methods:

  • Analytical derivation of soliton solutions.
  • Numerical simulations to study soliton stability and evolution.
  • Analysis of different interaction potentials (attractive/repulsive) within BEC components.

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Main Results:

  • A class of soliton solutions with intrinsic domain walls was identified.
  • Bright, dark, and bright-dark soliton pairs were found depending on interaction types.
  • Most solutions are stable and can be supported by external traps or in discrete lattices.

Conclusions:

  • The study presents novel soliton solutions for binary BECs with domain walls.
  • These solitons exhibit diverse behaviors based on interaction parameters.
  • Potential applications include nonlinear optics and quantum information processing.