2004/01/16 by A. D. Jackson, A.D. Jackson, G. M. Kavoulakis +2 · 1 citation
Mathematics · Physics and Astronomy · #Anharmonicity #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Coupling constant #Materials science #Mathematics #Phase (matter) #Phase diagram #Physics #Quadratic equation #Quantization (signal processing) #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quartic function #Strong Light-Matter Interactions #Variational method #cond-mat
paper · pdf · doi:10.1103/physreva.69.053619
published as Phys. Rev. A, 69 (2004) 053619 · 8 pages, 6 figures
arxiv created 2004/01/16 · openalex publication_date 2004/05/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We examine the phase diagram of an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. With use of a variational method we identify the three possible phases of the system as a function of the rotational frequency of the trap and of the coupling constant. The derived phase diagram is shown to be universal and partly exact in the limit of weak interactions and small anharmonicity. The variational results are found to be consistent with numerical solutions of the Gross-Pitaevskii equation.