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Faraday patterns in bose-Einstein condensates.

Kestutis Staliunas1, Stefano Longhi, Germán J De Valcárcel

  • 1Physikalisch Technische Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany.

Physical Review Letters
|November 22, 2002
PubMed
Summary
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Temporal modulation of Bose-Einstein condensates excites subharmonic atom density patterns via parametric resonance. Wavelength selection depends on excitation frequency and modulation depth, mimicking liquid Faraday patterns.

Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Quantum Gases

Background:

  • Bose-Einstein condensates (BECs) are quantum states of matter exhibiting unique properties.
  • Parametric resonance is a phenomenon where a system is driven by an external periodic force.

Purpose of the Study:

  • To investigate the excitation of spatial patterns in BECs through temporal modulation.
  • To explore the role of parametric resonance in pattern formation within BECs.

Main Methods:

  • Temporally modulating the interatomic s-wave scattering length in BECs.
  • Analyzing the resulting atom density for spatial structures and wavelengths.

Main Results:

  • Subharmonic patterns in atom density were successfully excited via parametric resonance.

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  • The dominant wavelength of these patterns is primarily determined by the excitation frequency.
  • Nonlinear resonance effects, influenced by modulation depth, also affect wavelength selection.

    • Conclusions:

    • Temporal modulation of scattering length is an effective method to generate spatial patterns in BECs.
    • The observed phenomena are analogous to Faraday patterns in vibrated liquids, highlighting universal physics.
    • This work provides insights into nonlinear dynamics and pattern formation in quantum systems.