The Bogoliubov Theory of a BEC in Particle Representation
Jacek Dziarmaga, Krzysztof Sacha
TL;DR
This paper inverts the nonlinear Bogoliubov transformation for BECs to express eigenstates in particle representation, revealing the condensate's multiparticle structure and providing illustrative examples.
Contribution
It introduces a method to invert the Bogoliubov transformation, enabling analysis of BEC eigenstates in particle representation for the first time.
Findings
Eigenstates expressed in particle representation
Revealed multiparticle structure of the condensate
Provided illustrative examples of the formalism
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.
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