Disorder-Induced Shift of Condensation Temperature for Dilute Trapped Bose Gases
arXiv:cond-mat/0605755 · doi:10.1209/epl/i2006-10341-0
Abstract
We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched disorder potential. Increasing the correlation length from values much smaller than the geometric mean of the trap scale and the mean particle distance to much larger values leads first to an increase of the positive shift to a maximum at this critical length scale and then to a decrease.
arXiv commentAuthor information under http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir
References in corpus (21)
- Theory of the Weakly Interacting Bose Gas
- A Bose-Einstein condensate in a random potential
- Atomic Bose and Anderson glasses in optical lattices
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Condensate fraction and critical temperature of a trapped interacting Bose gas
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- The transition temperature of the dilute interacting Bose gas
- Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
- Matterwave localization in disordered cold atom lattices
- The critical temperature of a trapped, weakly interacting Bose gas
- Disordered Bose-Einstein Condensates in Quasi One-Dimensional Magnetic Microtraps
- Thermodynamics of the superfluid dilute Bose gas with disorder
- Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- T_c for homogeneous dilute Bose gases: a second-order result
- Atom chips in the real world: the effects of wire corrugation
- T_c for trapped dilute Bose gases: a second-order result
- Five-Loop Critical Temperature Shift in Weakly Interacting Homogeneous Bose-Einstein Condensate
- Condensation temperature of interacting Bose gases with and without disorder
- Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
Cited by in corpus (8)
- Dipolar Bose-Einstein Condensates with Weak Disorder
- Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
- Collective Oscillations in Trapped Bose-Einstein Condensed Gases in the Presence of Weak Disorder
- Bose Condensed Gas in Strong Disorder Potential With Arbitrary Correlation Length
- Hartree-Fock Mean-Field Theory for Trapped Dirty Bosons
- Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
- Critical temperature of non-interacting Bose gases on disordered lattices
- Effect of random on-site energies on the critical temperature of a lattice Bose gas