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Consistent Hamiltonian models for space-momentum diffusion.

Jing-Dong Bao1, Yunyun Li2, Fabio Marchesoni2,3

  • 1Department of Physics, Beijing Normal University, Beijing 100875, China.

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|June 16, 2022
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Summary
This summary is machine-generated.

We present a new Hamiltonian approach to particle diffusion in dissipative environments, revealing novel diffusion regimes like saturation and superballistic motion. This method offers new insights into condensed phase phenomena and ultracold atom diffusion.

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Area of Science:

  • Physics
  • Quantum Mechanics
  • Condensed Matter Physics

Background:

  • Particle diffusion in dissipative environments is crucial for understanding condensed phase phenomena.
  • Existing models often simplify complex interactions, potentially missing key dynamics.

Purpose of the Study:

  • To develop a unified Hamiltonian approach for particle diffusion in dissipative environments.
  • To reformulate phenomenological diffusion models by incorporating space-momentum terms.
  • To predict and analyze various diffusion regimes, including saturation and superballistic diffusion.

Main Methods:

  • Developed a unified Hamiltonian framework.
  • Incorporated space-momentum coupling terms into diffusion models.
  • Performed numerical simulations to explore diffusion dynamics.

Main Results:

  • Successfully predicted diffusion saturation and superballistic diffusion regimes.
  • Demonstrated that time-correlated noise prevents superdiffusion from exceeding Richardson's law in ultracold atoms.
  • Identified unexpected diffusion behaviors requiring experimental verification.

Conclusions:

  • The unified Hamiltonian approach provides a more comprehensive description of particle diffusion.
  • The findings offer new perspectives on condensed phase phenomena and ultracold atom systems.
  • Experimental validation of the predicted diffusion regimes is warranted.