The Bogoliubov Theory of a BEC in Particle Representation
arXiv:cond-mat/0210258 · doi:10.1103/PhysRevA.67.033608
Abstract
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.
10 pages, 9 figures, version accepted for publication in Phys. Rev. A
References in corpus (5)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- The Josephson plasmon as a Bogoliubov quasiparticle
- Greying of the Dark Soliton: Depletion in the Anomalous Mode of the Bogoliubov Theory
- Quantum Depletion of an Excited Condensate
- Condensate statistics in interacting Bose gases: exact results
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