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Related Experiment Videos

Quantum interference effects in particle transport through square lattices.

E Cuansing1, H Nakanishi

  • 1Department of Physics, Purdue University, West Lafayette, IN 47907, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
Summary

Quantum particle transport through lattices shows resonant transmission and reflection when particle energy matches lattice eigenvalues. Transmission efficiency critically depends on how input/output chains connect to the lattice.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Percolation theory

Background:

  • Understanding quantum particle transport is crucial for developing quantum devices.
  • Lattice structures are fundamental in solid-state physics and quantum computing.
  • Quantum percolation provides a framework for studying transport in disordered systems.

Purpose of the Study:

  • To investigate quantum particle transport through finite square lattices.
  • To analyze the influence of attached semi-infinite chains on transmission.
  • To explore the impact of different connection methods (point-to-point vs. busbar) on transport phenomena.

Main Methods:

  • Utilizing the tight-binding Hamiltonian model.
  • Applying principles of quantum percolation theory.

Related Experiment Videos

  • Simulating particle transport through square lattices with attached chains.

    • Main Results:

    • Observed resonant transmission and reflection phenomena.
    • Resonances occur when incident particle energy aligns with lattice eigenvalues.
    • Transmission is highly sensitive to the specific attachment configuration of input/output chains.

    Conclusions:

    • Lattice eigenvalues significantly govern quantum particle transport.
    • The method of connecting external chains dictates transmission characteristics.
    • This study offers insights into controlling quantum transport in mesoscopic systems.