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Simulating quantum entanglement in nanoscale electron transport is computationally intensive. This study introduces approximations to the Wigner formalism, reducing complexity while accurately modeling electron-electron interactions and entanglement.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Computational physics

Background:

  • Entangled quantum particles are crucial for nanoscale quantum information transfer.
  • Traditional simulations of quantum transport entanglement are computationally prohibitive.
  • The Wigner formalism models electron-electron Coulomb interactions for entanglement analysis.

Purpose of the Study:

  • To reduce the computational complexity of simulating time-dependent entanglement for two interacting electrons.
  • To investigate the feasibility of approximations in modeling Coulomb interactions in quantum transport.
  • To analyze the impact of approximations on the purity and entanglement of quantum states.

Main Methods:

  • Approximating the Wigner potential for electron-electron interactions with a local electrostatic field.
  • Utilizing spectral decomposition to introduce the approximated electrostatic field.
  • Analyzing quantum state purity to quantify entanglement.

Main Results:

  • The introduced approximations significantly reduce computational complexity for simulating two-electron systems.
  • The local electrostatic field approximation is feasible for specific electron-electron system configurations.
  • The purity analysis confirms that the introduced local approximation effectively accounts for Coulomb-induced entanglement.

Conclusions:

  • Approximations to the Wigner formalism offer a computationally feasible method for studying quantum entanglement in nanoscale electron transport.
  • The local electrostatic field model accurately captures essential entanglement dynamics arising from Coulomb interactions.
  • This approach facilitates the simulation of complex quantum systems relevant to quantum information science.