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Nonlinearity effects on the directed momentum current.

Wen-Lei Zhao1, Li-Bin Fu2, Jie Liu2

  • 1School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China and National Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China and HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100084, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

Nonlinear quantum transport shows a directed current that can be controlled by adjusting nonlinearity. Increasing nonlinearity decreases, reverses, and vanishes this momentum current, offering new manipulation possibilities.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Condensed matter theory

Background:

  • Quantum transport describes particle movement in quantum systems.
  • The nonlinear Schrödinger equation models complex quantum phenomena.
  • Periodically-kicking potentials introduce unique dynamics.

Purpose of the Study:

  • Investigate quantum transport under nonlinear conditions.
  • Analyze the effect of nonlinearity on momentum current.
  • Uncover the mechanisms behind observed transport dynamics.

Main Methods:

  • Solving the nonlinear Schrödinger equation.
  • Simulating quantum transport dynamics.
  • Analyzing momentum space evolution.

Main Results:

  • Observed emergence of a directed current in momentum space.
  • Found that increasing nonlinearity decreases, reverses, and vanishes the momentum current.
  • Demonstrated effective manipulation of quantum transport via nonlinearity.

Conclusions:

  • Nonlinearity is a key factor in controlling quantum transport.
  • The findings offer insights into manipulating quantum systems.
  • Potential implications for designing novel quantum devices.