Interacting Bosons beyond the Gross-Pitaevskii Mean-Field

Abstract

Systems consisting of cold interacting bosons show interesting collective phenomena such as Bose-Einstein condensation or superfluidity and are currently studied in condensed matter and atomic physics. Of particular interest are nonideal bosons which exhibit strong correlation and spatial localization effects. Here we analyse the ground-state of a two-dimensional Bose system with a Hartree-Fock type approximation that was first introduced by Romanovsky et al. [Phys. Rev. Lett. {\bf 93}, 230405 (2004)]. We apply this method to a one dimensional system of charged bosons and analyze the behaviour at strong coupling.

6 pages, 4 figures, ms submitted to Physica

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Crystallization in two-component Coulomb systems
• Classical and quantum Coulomb crystals
• Best mean-field for condensates
• Time-dependent multi-orbital mean-field for fragmented Bose-Einstein condensates
• Bosonic molecules in rotating traps
• Mesoscopic Coulomb Supersolid

Cited by in corpus (7)

• Two-photon ionization of Helium studied with the multiconfigurational time-dependent Hartree-Fock method
• Quantum breathing mode of trapped bosons and fermions at arbitrary coupling
• Multiconfigurational time-dependent Hartree-Fock calculations for photoionization of one-dimensional Helium
• Thermal stability of solitons in protein $\alpha$-helices
• Permanent variational wave functions for bosons
• Hartree-Fock approximation for bosons with symmetry-adapted variational wave functions
• Few-Photon Fluorescence from Ultracold Bosons in an Optical Cavity