Second order quantum phase transition of a homogeneous Bose gas with attractive interactions
arXiv:0804.0364 · doi:10.1103/PhysRevA.78.023620
Abstract
We consider a homogeneous Bose gas of particles with an attractive interaction. Mean field theory predicts for this system a spontaneous symmetry breaking at a certain value of the interaction strength. We show that at this point a second-order quantum phase transition occurs. We investigate the system in the vicinity of the critical point using Bogoliubov theory and a continuous description, that allows us to analyze {\it quantum fluctuations} in the system even when the Bogoliubov approach breaks down.
7 pages, 3 figures
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- Particle-Localized Ground State of Atom-Molecule Bose-Einstein Condensates in a Double-Well Potential
- Relative and center-of-mass motion in the attractive Bose-Hubbard model
- Paired phases and Bose-Einstein condensation of spin-one bosons with attractive interaction
- The Lieb-Liniger model at the critical point as toy model for Black Holes
- Extracting atoms one by one from a small matter-wave soliton
- Quantum phase transition in an effective three-mode model of interacting bosons