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Collisionally Inhomogeneous Bose-Einstein Condensates with a Linear Interaction Gradient.

Andrea Di Carli1, Grant Henderson1, Stuart Flannigan1

  • 1Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom.

Physical Review Letters
|November 16, 2020
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Summary
This summary is machine-generated.

We observed how matter waves in Bose-Einstein condensates evolve in changing interaction strengths, forming and decaying solitons. This provides new insights into nonlinear instabilities and soliton collapse processes.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Bose-Einstein condensates

Background:

  • Bose-Einstein condensates (BECs) exhibit rich quantum phenomena.
  • Controlling interaction strengths in BECs is crucial for studying matter-wave dynamics.
  • Spatial gradients in interaction potentials can lead to complex emergent behaviors.

Purpose of the Study:

  • To investigate the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of interaction strength.
  • To analyze the formation, decay, and interactions of solitons in such a system.
  • To understand the underlying physics of nonlinear instabilities and collapse processes.

Main Methods:

  • Starting with a quasi-one-dimensional Bose-Einstein condensate with weak repulsive interactions.
  • Monitoring matter-wave evolution into regions of attractive and repulsive interactions.
  • Employing numerical simulations based on the nonpolynomial Schrödinger equation with three-body loss.
  • Utilizing wavelet transformation for detailed analysis of matter-wave dynamics.

Main Results:

  • Observed formation and decay of solitonlike density peaks.
  • Identified counterpropagating self-interfering wave packets.
  • Documented the creation of cascades of solitons.
  • Validated numerical simulations against experimental observations.

Conclusions:

  • The study provides new understanding of collapse processes for solitons in inhomogeneous potentials.
  • The observed dynamics reveal complex nonlinear instabilities.
  • The findings open interesting connections to other areas of nonlinear physics.