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Dilute Bose-Einstein condensate with large scattering length.

Eric Braaten1, H-W Hammer, Thomas Mehen

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA.

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|January 22, 2002
PubMed
Summary
This summary is machine-generated.

We calculated the energy density for Bose-Einstein condensates (BECs) to second order. This reveals instability due to three-body recombination and a large mean-field term in trapped BECs with negative scattering length.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Condensed matter physics

Background:

  • Bose-Einstein condensates (BECs) are quantum states of matter formed by cooling atoms to near absolute zero.
  • Understanding the properties of BECs is crucial for quantum technologies.
  • The behavior of BECs is influenced by interatomic interactions, particularly the scattering length.

Purpose of the Study:

  • To calculate the energy density of a homogeneous Bose-Einstein condensate (BEC) to second order in the low-density expansion.
  • To investigate the role of three-body interactions and recombination in BEC stability.
  • To determine the coefficient of the three-body mean-field term in trapped BECs.

Main Methods:

  • Low-density expansion of energy density.
  • Calculation of second-order corrections.
  • Analysis of three-body sector observables.

Main Results:

  • The energy density (E) of a homogeneous BEC was calculated to second order in terms of scattering length (a) and a three-body parameter (Lambda*).
  • A small imaginary part in the second-order correction indicates instability from three-body recombination.
  • The three-body mean-field term coefficient in trapped BECs with large negative 'a' can be significantly large if an Efimov state is near the threshold.

Conclusions:

  • The study provides a theoretical framework for understanding the energy density and stability of BECs, including the impact of three-body interactions.
  • The findings highlight the importance of the three-body parameter Lambda* and the potential for large mean-field effects in specific BEC configurations.
  • The presence of Efimov states near the threshold can lead to significant observable effects in trapped BECs.