Variational approach for the two-dimensional trapped Bose Einstein condensate
arXiv:cond-mat/0309212 · doi:10.1103/PhysRevA.70.013601
Abstract
We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering perturbative results in the ultra-dilute limit, while back action of non-condensate particles on the condensate part is taken into account for higher density. As an application, we derive the equation of state and solve stability problems encountered in similar mean-field formalisms for a single vortex configuration.
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- Many-Body Physics with Ultracold Gases
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- Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
- Universal 1+2-body bound states in planar atomic wave guides
- Quantum Monte Carlo simulation of a two-dimensional Bose gas
- Pseudopotential in resonant regimes
- Modeling interactions for resonant p-wave scattering
- Stability of the two-dimensional Bose gases in the resonant regime
- Isotropic contact forces in arbitrary representation: heterogeneous few-body problems and low dimensions
- Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms
- Behavior of the anomalous correlation function in uniform 2D Bose gas
- Low-dimensional weakly interacting Bose gases: non-universal equations of state
- Variational self-consistent theory for trapped Bose gases at finite temperature
- Scattering theory and equation of state of a spherical two-dimensional Bose gas
- On the renormalization of contact interactions for the configuration-interaction method in two dimensions
- Implicit ladder summation in the Hartree-Fock-Bogoliubov approach
- Universal Properties of Anisotropic Dipolar Bosons in Two Dimensions
- Normal and anomalous densities in Bose-Einstein condensate with optical lattices