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Updated: Dec 15, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Tensor Network Representations of Parton Wave Functions.

Ying-Hai Wu1, Lei Wang2,3, Hong-Hao Tu4

  • 1School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China.

Physical Review Letters
|July 9, 2020
PubMed
Summary
This summary is machine-generated.

Tensor network states can now exactly represent parton wave functions, enabling efficient computation of quantum many-body systems. This novel approach offers high accuracy for energy and entanglement measures, surpassing traditional Monte Carlo methods.

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Area of Science:

  • Quantum Many-Body Physics
  • Computational Physics

Background:

  • Tensor network states and parton wave functions are key methods for quantum many-body systems.
  • Existing methods have limitations in accuracy and computational efficiency for certain systems.

Purpose of the Study:

  • To demonstrate that parton wave functions can be exactly represented by tensor network states.
  • To develop efficient computational methods for studying quantum many-body systems using this connection.

Main Methods:

  • Representing parton wave functions (projected Fermi sea, paired states) as tensor networks.
  • Compressing these states into matrix product states for efficient computation.
  • Developing a high-fidelity compression scheme for projected Fermi sea using maximally localized Wannier orbitals.

Main Results:

  • Achieved exact representation of various parton wave functions using tensor networks.
  • Demonstrated efficient computation of physical quantities with moderate bond dimensions.
  • Numerical results show superior accuracy in energy and correlation functions compared to Monte Carlo methods.
  • Enabled straightforward computation of entanglement measures previously inaccessible.

Conclusions:

  • The developed tensor network approach provides an accurate and efficient alternative for studying quantum many-body systems.
  • This method overcomes limitations of traditional Monte Carlo techniques, particularly for calculating entanglement.
  • The exact representation opens new avenues for exploring complex quantum phenomena.