Particle creation in Bose--Einstein condensates: Theoretical formulation based on conserving gapless mean field theory
arXiv:1007.0073 · doi:10.1103/PhysRevA.82.053602
Abstract
We formulate particle creation phenomena in Bose--Einstein condensates in terms of conserving gapless mean field theory for weakly interacting Bose gases. The particle creation spectrum is calculated by rediagonalizing the Bogoliubov--de Gennes (BdG) Hamiltonian in mean field theory. The conservation implies that quasiparticle creation is accompanied by quantum backreaction to the condensates. Particle creation in this mean field theory is found to be equivalent to that in quantum field theory (QFT) in curved spacetime. An expression is obtained for an effective metric affected by quantum backreaction. The formula for the particle creation spectrum obtained in terms of QFT in curved spacetime is shown to be the same as that given by rediagonalizing the BdG Hamiltonian.
9 pages, typos corrected
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Cited by in corpus (6)
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- Quantum nonlinear effects in the number-conserving analogue gravity of Bose-Einstein condensates
- Cosmological particle creation in a hadronic fluid
- The flexibility of optical metrics
- Quantum backreaction effect in optical solitons
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