2008/04/02 by P. Ziń, B. Oleś, Marek Trippenbach +3 · 2 citations
Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical point (mathematics) #Homogeneous #Mathematics #Order (exchange) #Phase transition #Physics #Quantum #Quantum critical point #Quantum fluctuation #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum, superfluid, helium dynamics #Spontaneous symmetry breaking #Statistical physics #Strong Light-Matter Interactions #Symmetry (geometry) #Symmetry breaking #Thermodynamics #Transition point #Translational symmetry #cond-mat.other
paper · pdf · doi:10.1103/physreva.78.023620
7 pages, 3 figures
arxiv created 2008/04/02 · openalex publication_date 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a homogeneous Bose gas of particles with an attractive interaction in an elongated three-dimensional box with periodic boundary conditions. Mean-field theory predicts for this system a spontaneous breaking of the translational symmetry 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 quantum fluctuations in the system even when the Bogoliubov approach breaks down.