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Dilute Bose gas revised.

A Y Cherny1, A A Shanenko

  • 1Frank Laboratory of Neutron Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Researchers present a new method for studying dilute Bose gases with strong interactions, overcoming thermodynamic inconsistencies. This approach allows for calculations with singular potentials, offering a revised understanding of Bose gas properties.

Area of Science:

  • Quantum Mechanics
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Existing models for dilute Bose gases with short-range repulsive interactions face thermodynamic inconsistencies.
  • Current understanding relies on methods that are not suitable for strong interactions.

Purpose of the Study:

  • To propose an alternative method for treating dilute Bose gases with arbitrary strong interactions.
  • To address and overcome the thermodynamic inconsistency in existing models.
  • To enable calculations using singular potentials, such as Lennard-Jones type.

Main Methods:

  • Utilizing the second-order reduced density matrix.
  • Employing a variational procedure.
  • Developing an expansion for condensate depletion and mean energy per particle.

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Main Results:

  • The derived expansion for condensate depletion matches established results.
  • A new expansion for the mean energy per particle was obtained: epsilon=2 pi planck(2)an/m[1+128/(15 square root of [pi]) square root of [na(3)](1-5b/8a)+...].
  • The formula incorporates scattering length (a) and a shape-dependent characteristic length (b).

Conclusions:

  • The proposed method successfully resolves thermodynamic inconsistencies.
  • The new approach is applicable to dilute Bose gases with strong interactions and singular potentials.
  • The results provide a more accurate description of Bose gas properties at zero temperature.