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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Inelastic multiple scattering of interacting bosons in weak random potentials.

Tobias Geiger1, Thomas Wellens, Andreas Buchleitner

  • 1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, D-79104 Freiburg, Germany.

Physical Review Letters
|August 7, 2012
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Summary

Collisional energy transfer in interacting bosons leads to thermalization. This inelastic current quickly dominates over elastic scattering in disordered systems.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Ultracold atomic gases

Background:

  • Interacting bosons in disordered potentials are crucial for understanding quantum phenomena.
  • The Gross-Pitaevskii equation describes weakly interacting bosons but often neglects inelastic processes.
  • Thermalization mechanisms in quantum systems are of fundamental interest.

Purpose of the Study:

  • To develop a theoretical framework for describing interacting bosons in disordered potentials.
  • To investigate the role of collisional energy transfer in boson thermalization.
  • To compare the contributions of elastic and inelastic scattering to the single-particle current.

Main Methods:

  • Diagrammatic scattering theory
  • Analysis of collisional energy transfer
  • Comparison of elastic and inelastic scattering currents

Main Results:

  • A diagrammatic scattering theory was developed for interacting bosons in a 3D disordered potential.
  • Collisional energy transfer was shown to induce thermalization of the inelastic single-particle current.
  • The inelastic current rapidly dominates over the elastic contribution described by the Gross-Pitaevskii ansatz after a few collisions.

Conclusions:

  • Diagrammatic scattering theory provides a powerful tool for studying disordered quantum systems.
  • Inelastic scattering and thermalization play a significant role in the dynamics of interacting bosons.
  • The findings challenge the limitations of the Gross-Pitaevskii ansatz in certain regimes.