The Bogoliubov Theory of a BEC in Particle Representation

Details The Bogoliubov Theory of a BEC in Particle Representation The Bogoliubov Theory of a BEC in Particle Representation

2002-10-11

arxiv.org/abs/cond-mat/0210258v2

Phys. Rev. A 67, 033608 (2003).

Physics

Condensed Matter

10 pages, 9 figures, version accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.67.033608

In the number-conserving Bogoliubov theory of BEC the Bogoliubov transformation between quasiparticles and particles is nonlinear. We invert this nonlinear transformation and give general expression for eigenstates of the Bogoliubov Hamiltonian in particle representation. The particle representation unveils structure of a condensate multiparticle wavefunction. We give several examples to illustrate the general formalism.

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