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Carlos L Benavides-Riveros1,2, Jakob Wolff1, Miguel A L Marques1

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This summary is machine-generated.

We developed a new ground state theory for bosonic quantum systems, ideal for Bose-Einstein condensates. This theory explains why complete condensation is not observed in nature due to diverging gradient forces.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Many-body theory

Background:

  • Hohenberg-Kohn theorem provides a foundation for density functional theory in electronic systems.
  • Bose-Einstein condensates (BECs) are quantum states of matter exhibiting unique properties.
  • Accurate theoretical descriptions of interacting bosons are crucial for understanding quantum phenomena.

Purpose of the Study:

  • To propose a generalized Hohenberg-Kohn theory for ground state properties of bosonic quantum systems.
  • To develop a method suitable for the accurate description of Bose-Einstein condensates.
  • To investigate the fundamental limitations of complete condensation in natural systems.

Main Methods:

  • Generalization of the Hohenberg-Kohn theorem for bosonic systems.
  • Utilizing the one-particle reduced density matrix (γ) as the fundamental variable.
  • Employing the constrained search formalism to derive exact functionals.
  • Analysis of the N-boson Hubbard dimer and Bogoliubov-approximated systems.

Main Results:

  • A novel ground state theory for bosonic systems based on the one-particle reduced density matrix.
  • Exact functional determination for the N-boson Hubbard dimer and Bogoliubov systems.
  • Identification of diverging gradient forces in Bose-Einstein condensates as N_{BEC} approaches N.
  • A theoretical explanation for the absence of complete condensation in nature.

Conclusions:

  • The proposed theory accurately captures quantum correlations and is well-suited for Bose-Einstein condensates.
  • The constrained search formalism provides an ideal framework for functional approximations.
  • Diverging gradient forces fundamentally limit the extent of condensation in realistic systems.