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Classical mapping for Hubbard operators: application to the double-Anderson model.

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A new classical mapping for Hubbard operators models electron transport in quantum systems. This method captures all many-electron state transitions, offering insights beyond approximate techniques.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum transport

Background:

  • Understanding nonequilibrium transport in open quantum systems with many electrons is crucial.
  • Classical mappings offer alternative approaches to complex quantum many-body problems.

Purpose of the Study:

  • To develop a classical Cartesian mapping for Hubbard operators.
  • To describe the nonequilibrium transport of an open quantum system with many electrons.

Main Methods:

  • Developed a classical Cartesian mapping for Hubbard operators.
  • Utilized analogies from classical mappings of boson operators and coherent state representation.
  • Applied the mapping to a double quantum dot array (double Anderson impurity model).

Main Results:

  • The Hubbard mapping provides qualitative results for electron transport in a double quantum dot array.
  • It captures all transport channels involving transitions between many-electron states.
  • Deviations observed in conduction peak characteristics compared to master equation approach.

Conclusions:

  • The developed Hubbard mapping is a valuable tool for studying nonequilibrium transport in quantum systems.
  • It offers a complementary approach to existing methods like nonequilibrium Green functions.
  • The method successfully captures complex many-electron state transitions relevant to quantum transport.