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Non-Hermitian linear-response theory for spin diffusion in quantum systems.

Leonardo S Lima1

  • 1Department of Physics, Federal Technological Education Center of Minas Gerais, Belo Horizonte, 30510-000, MG, Brazil. lslima@cefetmg.br.

Scientific Reports
|July 30, 2024
PubMed
Summary
This summary is machine-generated.

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This study proposes spin transport theory for non-Hermitian quantum systems, revealing exotic phenomena due to dissipation. It analyzes spin diffusion in the XXZ model and electric transport in the Hubbard model, impacting conductivities and excitations.

Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Non-Hermitian systems

Background:

  • Non-Hermitian quantum systems exhibit unique phenomena when interacting with their environment.
  • Understanding spin and electric transport in these systems is crucial for quantum technologies.

Purpose of the Study:

  • To develop a spin transport theory for non-Hermitian quantum systems.
  • To investigate spin diffusion in the one-dimensional non-Hermitian XXZ model.
  • To analyze electric transport in the one-dimensional non-Hermitian Hubbard model, focusing on non-Hermitian parameter effects.

Main Methods:

  • Analytical computation of transport coefficients in the non-Hermitian XXZ model.
  • Investigation of AC and DC conductivities in the non-Hermitian Hubbard model.
Keywords:
Hubbard modelNon-HermitianTransportXXZ model

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  • Analysis of the large U limit and its impact on ground state energy and excitations.

    • Main Results:

    • Exotic phenomena arise in non-Hermitian systems due to dissipation.
    • Non-Hermitian parameters, like imaginary hopping, significantly affect AC and DC conductivities.
    • Non-Hermiticity reverses the behavior of ground state energy and low-lying excitations in the Hubbard model.

    Conclusions:

    • The proposed theory provides insights into spin transport in non-Hermitian systems.
    • The study highlights the critical role of non-Hermiticity in determining transport properties.
    • Findings offer a foundation for exploring novel quantum phenomena and applications in engineered quantum systems.