Anharmonicity-Induced Criticality of Collective Excitation in a Trapped Bose-Einstein Condensate
arXiv:1806.01510 · doi:10.1142/S0217979218503459
Abstract
We investigate the low energy excitations of a dilute atomic Bose gas confined in a anharmonic trap interacting with repulsive forces. The dispersion law of both surface and compression modes are derived and analyzed for large numbers of atoms in the trap, which show two branches of excitation and appear a two critical value. For a upper limit, BEC can be unstable with respect to some specific collective excitation, while for the lower limit, the frequency of collective excitation under anharmonic influence can be effectively lower than that without anharmonicity. Our work reveals the key role played by the anharmonicity and interatomic forces which introduce a rich structure in the dynamic behavior of these new many-body systems.
arXiv comment19 pages
References in corpus (22)
- Many-Body Physics with Ultracold Gases
- Theory of Bose-Einstein condensation in trapped gases
- The physics of dipolar bosonic quantum gases
- Bose-Einstein condensation of chromium
- Collective excitations of a trapped Bose-condensed gas
- Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
- Collective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass
- Collective excitations of atomic Bose-Einstein condensates
- Confinement-Induced Resonances in Low-Dimensional Quantum Systems
- Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
- The transverse breathing mode of an elongated Bose-Einstein condensate
- Collective and single particle excitations of a trapped Bose gas
- Molecular Dipolar Crystals as High Fidelity Quantum Memory for Hybrid Quantum Computing
- Coherent molecule formation in anharmonic potentials near confinement-induced resonances
- Temperature-induced resonances and Landau damping of collective modes in Bose-Einstein condensed gases in spherical traps
- Persistence of a Non-Equilibrium State: Observation of a Boltzmannian Special Case
- Numerical and variational solutions of the dipolar Gross-Pitaevskii equation in reduced dimensions
- Coupled Dipole Oscillations of a Mass-Imbalanced Bose and Fermi Superfluid Mixture
- Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion
- Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
- Bose-Einstein condensation in shallow traps
- Observation of phonon parametric down-conversion in a spherical Bose-Einstein condensate