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Quantum stochastic transport along chains.

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Area of Science:

  • Statistical and quantum mechanics
  • Condensed matter physics
  • Quantum transport

Background:

  • Particle spreading and relaxation are fundamental in statistical and quantum mechanics.
  • The interplay between coherent and stochastic transitions remains underexplored.
  • Related concepts include quantum Brownian motion and recent interest in photosynthesis.

Purpose of the Study:

  • To investigate the consequences of combining coherent and stochastic transitions in particle dynamics.
  • To analyze particle transport in infinite tight-binding chains and finite rings.
  • To examine the quantum version of the Sinai-Derrida-Hatano-Nelson model with disorder.

Main Methods:

  • Utilizing an Ohmic master equation framework.
  • Modeling particle dynamics on infinite tight-binding chains and finite rings.
  • Introducing disorder to create a quantum Sinai-Derrida-Hatano-Nelson model.

Main Results:

  • Observed non-monotonic dependence of current on applied bias.
  • Demonstrated a counter-intuitive enhancement of effective disorder due to coherent hopping.
  • Identified sliding and delocalization transitions.

Conclusions:

  • The interplay of coherent and stochastic dynamics significantly impacts particle transport.
  • Coherent hopping can lead to unexpected increases in effective disorder.
  • This research provides new insights into quantum transport phenomena relevant to condensed matter and photosynthesis.