The Gross-Pitaevskii equation (GPE) is a highly-successful and well-established model for describing an atomic Bose-Einstein condensate. Here we introduce this model, along with its derivation and assumptions. Throughout the rest of the chapter we explore its properties and key time-independent solutions.

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Gross-Pitaevskii Model of the Condensate

  • Carlo F. Barenghi,
  • Thomas Bland,
  • Nick G. Parker

摘要

The Gross-Pitaevskii equation (GPE) is a highly-successful and well-established model for describing an atomic Bose-Einstein condensate. Here we introduce this model, along with its derivation and assumptions. Throughout the rest of the chapter we explore its properties and key time-independent solutions.