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Geometric diffusion of quantum trajectories.

Fan Yang1, Ren-Bao Liu1,2,3

  • 1Department of Physics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China.

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|July 17, 2015
PubMed
Summary
This summary is machine-generated.

Quantum diffusion can be geometric, arising from the imaginary part of a geometric phase. This novel geometric quantum diffusion phenomenon has potential applications in topological insulators and electro-optics.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics

Background:

  • Quantum objects acquire geometric phases (e.g., Berry, Aharonov-Bohm phases) during evolution in parameter spaces with gauge structures.
  • Quantum diffusion is an inherent aspect of wavepacket evolution along quantum trajectories.

Purpose of the Study:

  • To demonstrate that quantum diffusion can possess a geometric character.
  • To explore the implications of geometric quantum diffusion in physical systems.

Main Methods:

  • Investigating quantum trajectories of optically excited electron-hole pairs in time-reversal symmetric insulators.
  • Applying an elliptically polarized terahertz field to drive the system.

Main Results:

  • Quantum diffusion is shown to be geometric, characterized by the imaginary part of a geometric phase.
  • Geometric quantum diffusion arises from interference between instantaneous eigenstate pathways with differing geometric phases during adiabatic evolution.
  • The imaginary geometric phase is observed as elliptical polarization in terahertz sideband generation.

Conclusions:

  • Geometric quantum diffusion introduces a new dimension to the understanding of geometric phases.
  • This phenomenon may find applications in areas such as transport in topological insulators and novel electro-optical effects.